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BibMartin/tiles demo.ipynb

Created May 15, 2020 17:56
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Three tiles systems : Squares, Triangles, Hexagons ; with a hash system to encode them
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tiles demo.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import folium\n",
"import tiles\n",
"\n",
"lat, lng = (45.8381, 3.1205)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Squares"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tiles.SquareTile at 0x1fe1a867f98>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq = tiles.SquareTile.from_lat_lng(lat, lng, 15)\n",
"sq"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(45.84028105450087, 3.1256103515625)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.central_point()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1683178484"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.to_hash()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'15/16668/11678'"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.to_string()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(15, 16668, 11678)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.to_tuple()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[[45.84410779560204, 3.1201171875],\n",
" [45.84410779560204, 3.131103515625],\n",
" [45.83645405018771, 3.131103515625],\n",
" [45.83645405018771, 3.1201171875]]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.vertex()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'type': 'Polygon',\n",
" 'coordinates': [[[3.1201171875, 45.84410779560204],\n",
" [3.131103515625, 45.84410779560204],\n",
" [3.131103515625, 45.83645405018771],\n",
" [3.1201171875, 45.83645405018771]]]}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sq.to_geojson()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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src=\"data:text/html;charset=utf-8;base64,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\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a878898>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"m.add_child(folium.GeoJson(sq.to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><iframe src=\"data:text/html;charset=utf-8;base64,<!DOCTYPE html>
<head>    
    <meta http-equiv="content-type" content="text/html; charset=UTF-8" />
    
        <script>
            L_NO_TOUCH = false;
            L_DISABLE_3D = false;
        </script>
    
    <script src="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.js"></script>
    <script src="https://code.jquery.com/jquery-1.12.4.min.js"></script>
    <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
    <script src="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js"></script>
    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap-theme.min.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/font-awesome/4.6.3/css/font-awesome.min.css"/>
    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css"/>
    <link rel="stylesheet" href="https://rawcdn.githack.com/python-visualization/folium/master/folium/templates/leaflet.awesome.rotate.css"/>
    <style>html, body {width: 100%;height: 100%;margin: 0;padding: 0;}</style>
    <style>#map {position:absolute;top:0;bottom:0;right:0;left:0;}</style>
    
            <meta name="viewport" content="width=device-width,
                initial-scale=1.0, maximum-scale=1.0, user-scalable=no" />
            <style>
                #map_0130f40049ac455f810dab18554ffffc {
                    position: relative;
                    width: 100.0%;
                    height: 100.0%;
                    left: 0.0%;
                    top: 0.0%;
                }
            </style>
        
</head>
<body>    
    
            <div class="folium-map" id="map_0130f40049ac455f810dab18554ffffc" ></div>
        
</body>
<script>    
    
            var map_0130f40049ac455f810dab18554ffffc = L.map(
                "map_0130f40049ac455f810dab18554ffffc",
                {
                    center: [0, 0],
                    crs: L.CRS.EPSG3857,
                    zoom: 1,
                    zoomControl: true,
                    preferCanvas: false,
                }
            );

            

        
    
            var tile_layer_7a1831f0c88c43f39d824b0af2981379 = L.tileLayer(
                "https://{s}.tile.openstreetmap.org/{z}/{x}/{y}.png",
                {"attribution": "Data by \u0026copy; \u003ca href=\"http://openstreetmap.org\"\u003eOpenStreetMap\u003c/a\u003e, under \u003ca href=\"http://www.openstreetmap.org/copyright\"\u003eODbL\u003c/a\u003e.", "detectRetina": false, "maxNativeZoom": 18, "maxZoom": 18, "minZoom": 0, "noWrap": false, "opacity": 1, "subdomains": "abc", "tms": false}
            ).addTo(map_0130f40049ac455f810dab18554ffffc);
        
    
        function geo_json_886b0b85271f41879f101f21b51a8c46_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_886b0b85271f41879f101f21b51a8c46 = L.geoJson(null, {
                onEachFeature: geo_json_886b0b85271f41879f101f21b51a8c46_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_886b0b85271f41879f101f21b51a8c46.addData({"coordinates": [[[3.1201171875, 45.84410779560204], [3.131103515625, 45.84410779560204], [3.131103515625, 45.83645405018771], [3.1201171875, 45.83645405018771]]], "type": "Polygon"});
        
    
        function geo_json_2b56c368fe4f49a9a4ec177eb583c3ff_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_2b56c368fe4f49a9a4ec177eb583c3ff = L.geoJson(null, {
                onEachFeature: geo_json_2b56c368fe4f49a9a4ec177eb583c3ff_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_2b56c368fe4f49a9a4ec177eb583c3ff.addData({"coordinates": [[[3.1201171875, 45.83645405018771], [3.131103515625, 45.83645405018771], [3.131103515625, 45.82879925192134], [3.1201171875, 45.82879925192134]]], "type": "Polygon"});
        
    
        function geo_json_a23ddd2de5c44f5ab53054e094c38bc6_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_a23ddd2de5c44f5ab53054e094c38bc6 = L.geoJson(null, {
                onEachFeature: geo_json_a23ddd2de5c44f5ab53054e094c38bc6_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_a23ddd2de5c44f5ab53054e094c38bc6.addData({"coordinates": [[[3.1201171875, 45.82879925192134], [3.131103515625, 45.82879925192134], [3.131103515625, 45.8211434007947], [3.1201171875, 45.8211434007947]]], "type": "Polygon"});
        
    
        function geo_json_448af6ea5e99455aae0cc7a0ec013c98_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_448af6ea5e99455aae0cc7a0ec013c98 = L.geoJson(null, {
                onEachFeature: geo_json_448af6ea5e99455aae0cc7a0ec013c98_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_448af6ea5e99455aae0cc7a0ec013c98.addData({"coordinates": [[[3.1201171875, 45.8211434007947], [3.131103515625, 45.8211434007947], [3.131103515625, 45.81348649679972], [3.1201171875, 45.81348649679972]]], "type": "Polygon"});
        
    
        function geo_json_d300cd226dc047368dde4739a304ff97_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_d300cd226dc047368dde4739a304ff97 = L.geoJson(null, {
                onEachFeature: geo_json_d300cd226dc047368dde4739a304ff97_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_d300cd226dc047368dde4739a304ff97.addData({"coordinates": [[[3.1201171875, 45.81348649679972], [3.131103515625, 45.81348649679972], [3.131103515625, 45.805828539928356], [3.1201171875, 45.805828539928356]]], "type": "Polygon"});
        
    
        function geo_json_85e468cb3ed347ac983d90f3dcc7dcd9_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_85e468cb3ed347ac983d90f3dcc7dcd9 = L.geoJson(null, {
                onEachFeature: geo_json_85e468cb3ed347ac983d90f3dcc7dcd9_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_85e468cb3ed347ac983d90f3dcc7dcd9.addData({"coordinates": [[[3.131103515625, 45.84410779560204], [3.14208984375, 45.84410779560204], [3.14208984375, 45.83645405018771], [3.131103515625, 45.83645405018771]]], "type": "Polygon"});
        
    
        function geo_json_b71710e6ed894b69ab689dee97890789_onEachFeature(feature, layer) {
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                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_b71710e6ed894b69ab689dee97890789 = L.geoJson(null, {
                onEachFeature: geo_json_b71710e6ed894b69ab689dee97890789_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_20dbe71649c64bd381b331425f58cf25_onEachFeature(feature, layer) {
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        var geo_json_20dbe71649c64bd381b331425f58cf25 = L.geoJson(null, {
                onEachFeature: geo_json_20dbe71649c64bd381b331425f58cf25_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_a915d75b438b4ecc9b19761f20dd4fcc_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_a915d75b438b4ecc9b19761f20dd4fcc = L.geoJson(null, {
                onEachFeature: geo_json_a915d75b438b4ecc9b19761f20dd4fcc_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
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                onEachFeature: geo_json_d0e8d9d75d33414e95a343de1cb8b4a1_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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                onEachFeature: geo_json_cddecb39dd1449c0a8915eb464e1c416_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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                }
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                onEachFeature: geo_json_3de369b92864403880056bb2cccda256_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
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        };
        var geo_json_d2b72fc8cd384f68b8851175d3d568b2 = L.geoJson(null, {
                onEachFeature: geo_json_d2b72fc8cd384f68b8851175d3d568b2_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_08ddab11789442ce9addc8ac8eb8dcae_onEachFeature(feature, layer) {
            layer.on({
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                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
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        var geo_json_08ddab11789442ce9addc8ac8eb8dcae = L.geoJson(null, {
                onEachFeature: geo_json_08ddab11789442ce9addc8ac8eb8dcae_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_c41ef601468b4fb3bded609f0c806592_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_c41ef601468b4fb3bded609f0c806592 = L.geoJson(null, {
                onEachFeature: geo_json_c41ef601468b4fb3bded609f0c806592_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_08643af12b214b40922c07818d475139_onEachFeature(feature, layer) {
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                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
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        var geo_json_08643af12b214b40922c07818d475139 = L.geoJson(null, {
                onEachFeature: geo_json_08643af12b214b40922c07818d475139_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_08643af12b214b40922c07818d475139.addData({"coordinates": [[[3.153076171875, 45.84410779560204], [3.1640625, 45.84410779560204], [3.1640625, 45.83645405018771], [3.153076171875, 45.83645405018771]]], "type": "Polygon"});
        
    
        function geo_json_57718569e74b40248cd123044b19c09e_onEachFeature(feature, layer) {
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                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
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        var geo_json_57718569e74b40248cd123044b19c09e = L.geoJson(null, {
                onEachFeature: geo_json_57718569e74b40248cd123044b19c09e_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_57718569e74b40248cd123044b19c09e.addData({"coordinates": [[[3.153076171875, 45.83645405018771], [3.1640625, 45.83645405018771], [3.1640625, 45.82879925192134], [3.153076171875, 45.82879925192134]]], "type": "Polygon"});
        
    
        function geo_json_ebe24bc7257f46069986ba42fe5e7496_onEachFeature(feature, layer) {
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        var geo_json_ebe24bc7257f46069986ba42fe5e7496 = L.geoJson(null, {
                onEachFeature: geo_json_ebe24bc7257f46069986ba42fe5e7496_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_ebe24bc7257f46069986ba42fe5e7496.addData({"coordinates": [[[3.153076171875, 45.82879925192134], [3.1640625, 45.82879925192134], [3.1640625, 45.8211434007947], [3.153076171875, 45.8211434007947]]], "type": "Polygon"});
        
    
        function geo_json_1db51a3b37254754b17ea682a221471f_onEachFeature(feature, layer) {
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                click: function(e) {
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                }
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        };
        var geo_json_1db51a3b37254754b17ea682a221471f = L.geoJson(null, {
                onEachFeature: geo_json_1db51a3b37254754b17ea682a221471f_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        var geo_json_3a748fba77444e70aca511205b44e066 = L.geoJson(null, {
                onEachFeature: geo_json_3a748fba77444e70aca511205b44e066_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
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        function geo_json_935d86a948df4551b758507f0ac48763_onEachFeature(feature, layer) {
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        var geo_json_935d86a948df4551b758507f0ac48763 = L.geoJson(null, {
                onEachFeature: geo_json_935d86a948df4551b758507f0ac48763_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_935d86a948df4551b758507f0ac48763.addData({"coordinates": [[[3.1640625, 45.84410779560204], [3.175048828125, 45.84410779560204], [3.175048828125, 45.83645405018771], [3.1640625, 45.83645405018771]]], "type": "Polygon"});
        
    
        function geo_json_3df7d01b9ffc4d2db189b6787a261151_onEachFeature(feature, layer) {
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        var geo_json_3df7d01b9ffc4d2db189b6787a261151 = L.geoJson(null, {
                onEachFeature: geo_json_3df7d01b9ffc4d2db189b6787a261151_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_3df7d01b9ffc4d2db189b6787a261151.addData({"coordinates": [[[3.1640625, 45.83645405018771], [3.175048828125, 45.83645405018771], [3.175048828125, 45.82879925192134], [3.1640625, 45.82879925192134]]], "type": "Polygon"});
        
    
        function geo_json_da34a53655b84e26848b78d8cca4e7f1_onEachFeature(feature, layer) {
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                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
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        var geo_json_da34a53655b84e26848b78d8cca4e7f1 = L.geoJson(null, {
                onEachFeature: geo_json_da34a53655b84e26848b78d8cca4e7f1_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_da34a53655b84e26848b78d8cca4e7f1.addData({"coordinates": [[[3.1640625, 45.82879925192134], [3.175048828125, 45.82879925192134], [3.175048828125, 45.8211434007947], [3.1640625, 45.8211434007947]]], "type": "Polygon"});
        
    
        function geo_json_be5b8a2b974a4d7894c065860c2450eb_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_be5b8a2b974a4d7894c065860c2450eb = L.geoJson(null, {
                onEachFeature: geo_json_be5b8a2b974a4d7894c065860c2450eb_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_be5b8a2b974a4d7894c065860c2450eb.addData({"coordinates": [[[3.1640625, 45.8211434007947], [3.175048828125, 45.8211434007947], [3.175048828125, 45.81348649679972], [3.1640625, 45.81348649679972]]], "type": "Polygon"});
        
    
        function geo_json_0851b88bd6874f5a8c9fd1381011343d_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_0130f40049ac455f810dab18554ffffc.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_0851b88bd6874f5a8c9fd1381011343d = L.geoJson(null, {
                onEachFeature: geo_json_0851b88bd6874f5a8c9fd1381011343d_onEachFeature,
            
        }).addTo(map_0130f40049ac455f810dab18554ffffc);
            geo_json_0851b88bd6874f5a8c9fd1381011343d.addData({"coordinates": [[[3.1640625, 45.81348649679972], [3.175048828125, 45.81348649679972], [3.175048828125, 45.805828539928356], [3.1640625, 45.805828539928356]]], "type": "Polygon"});
        
    
            var marker_d860b603ca0544cbaf51d1abe0afd021 = L.marker(
                [45.8381, 3.1205],
                {}
            ).addTo(map_0130f40049ac455f810dab18554ffffc);
        
    
            map_0130f40049ac455f810dab18554ffffc.fitBounds(
                [[45.805828539928356, 3.1201171875], [45.84410779560204, 3.175048828125]],
                {}
            );
        
</script>\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a878128>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"for i in range(5):\n",
" for j in range(5):\n",
" m.add_child(folium.GeoJson(tiles.SquareTile(sq.x + i, sq.y + j, sq.z).to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"('15/16668/11678', '15/16668/11678')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tiles.tile_from_hash(sq.to_hash()).to_string(), sq.to_string()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Triangles"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tiles.TriangleTile at 0x1fe1a89e5c0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trig = tiles.TriangleTile.from_lat_lng(lat, lng, 15)\n",
"trig"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><iframe 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style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a867390>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"m.add_child(folium.GeoJson(trig.to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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    <meta http-equiv="content-type" content="text/html; charset=UTF-8" />
    
        <script>
            L_NO_TOUCH = false;
            L_DISABLE_3D = false;
        </script>
    
    <script src="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.js"></script>
    <script src="https://code.jquery.com/jquery-1.12.4.min.js"></script>
    <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
    <script src="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js"></script>
    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css"/>
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    <link rel="stylesheet" href="https://rawcdn.githack.com/python-visualization/folium/master/folium/templates/leaflet.awesome.rotate.css"/>
    <style>html, body {width: 100%;height: 100%;margin: 0;padding: 0;}</style>
    <style>#map {position:absolute;top:0;bottom:0;right:0;left:0;}</style>
    
            <meta name="viewport" content="width=device-width,
                initial-scale=1.0, maximum-scale=1.0, user-scalable=no" />
            <style>
                #map_a35090805d2745409eee62596b425e05 {
                    position: relative;
                    width: 100.0%;
                    height: 100.0%;
                    left: 0.0%;
                    top: 0.0%;
                }
            </style>
        
</head>
<body>    
    
            <div class="folium-map" id="map_a35090805d2745409eee62596b425e05" ></div>
        
</body>
<script>    
    
            var map_a35090805d2745409eee62596b425e05 = L.map(
                "map_a35090805d2745409eee62596b425e05",
                {
                    center: [0, 0],
                    crs: L.CRS.EPSG3857,
                    zoom: 1,
                    zoomControl: true,
                    preferCanvas: false,
                }
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            var tile_layer_49a63e03cfd843ab85064ddb5aadf28c = L.tileLayer(
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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                onEachFeature: geo_json_faf7f0a06d71464e88a5a374bdd1f9c6_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_bc2228d076774726ae5715812b3987ae_onEachFeature(feature, layer) {
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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            });
        };
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                onEachFeature: geo_json_7e272d96344d40439fa1e25bfb477d6d_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_1bc4b419a4a84bd89e20932f0ee9c98d_onEachFeature(feature, layer) {
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        };
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_32b79ed764514727b7ec26de3c84c6ec_onEachFeature(feature, layer) {
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                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_32b79ed764514727b7ec26de3c84c6ec = L.geoJson(null, {
                onEachFeature: geo_json_32b79ed764514727b7ec26de3c84c6ec_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_d2f516367ca041d092354bc2968f9c61_onEachFeature(feature, layer) {
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                }
            });
        };
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_a6570fc63e864694a3aa875bc5aa54d1_onEachFeature(feature, layer) {
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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        }).addTo(map_a35090805d2745409eee62596b425e05);
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        function geo_json_f91ccc94a8414747a9be0d86c6428152_onEachFeature(feature, layer) {
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                click: function(e) {
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                }
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        var geo_json_f91ccc94a8414747a9be0d86c6428152 = L.geoJson(null, {
                onEachFeature: geo_json_f91ccc94a8414747a9be0d86c6428152_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_f91ccc94a8414747a9be0d86c6428152.addData({"coordinates": [[[3.131103515625, 45.84397037549213], [3.14208984375, 45.83071299934123], [3.153076171875, 45.84397037549213]]], "type": "Polygon"});
        
    
        function geo_json_9308a9d28e8e401bb3a57f3056758174_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_9308a9d28e8e401bb3a57f3056758174 = L.geoJson(null, {
                onEachFeature: geo_json_9308a9d28e8e401bb3a57f3056758174_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_9308a9d28e8e401bb3a57f3056758174.addData({"coordinates": [[[3.131103515625, 45.81745246461573], [3.14208984375, 45.83071299934123], [3.153076171875, 45.81745246461573]]], "type": "Polygon"});
        
    
        function geo_json_7c83ca07a30a4def8da0b887beeff675_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_7c83ca07a30a4def8da0b887beeff675 = L.geoJson(null, {
                onEachFeature: geo_json_7c83ca07a30a4def8da0b887beeff675_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_7c83ca07a30a4def8da0b887beeff675.addData({"coordinates": [[[3.131103515625, 45.81745246461573], [3.14208984375, 45.80418877127357], [3.153076171875, 45.81745246461573]]], "type": "Polygon"});
        
    
        function geo_json_412c043b7e6a4d01b81457e458045b59_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_412c043b7e6a4d01b81457e458045b59 = L.geoJson(null, {
                onEachFeature: geo_json_412c043b7e6a4d01b81457e458045b59_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_412c043b7e6a4d01b81457e458045b59.addData({"coordinates": [[[3.131103515625, 45.79092191927335], [3.14208984375, 45.80418877127357], [3.153076171875, 45.79092191927335]]], "type": "Polygon"});
        
    
        function geo_json_0d1bb1f93f25483c8c8fc49280a7270c_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_0d1bb1f93f25483c8c8fc49280a7270c = L.geoJson(null, {
                onEachFeature: geo_json_0d1bb1f93f25483c8c8fc49280a7270c_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_0d1bb1f93f25483c8c8fc49280a7270c.addData({"coordinates": [[[3.131103515625, 45.79092191927335], [3.14208984375, 45.77765190857434], [3.153076171875, 45.79092191927335]]], "type": "Polygon"});
        
    
        function geo_json_3068a19e86f94bbfb9f8c3e5c8e7e0b5_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_3068a19e86f94bbfb9f8c3e5c8e7e0b5 = L.geoJson(null, {
                onEachFeature: geo_json_3068a19e86f94bbfb9f8c3e5c8e7e0b5_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_3068a19e86f94bbfb9f8c3e5c8e7e0b5.addData({"coordinates": [[[3.14208984375, 45.83071299934123], [3.153076171875, 45.84397037549213], [3.1640625, 45.83071299934123]]], "type": "Polygon"});
        
    
        function geo_json_f280358411724826adcc4e0f4be457c5_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_f280358411724826adcc4e0f4be457c5 = L.geoJson(null, {
                onEachFeature: geo_json_f280358411724826adcc4e0f4be457c5_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_f280358411724826adcc4e0f4be457c5.addData({"coordinates": [[[3.14208984375, 45.83071299934123], [3.153076171875, 45.81745246461573], [3.1640625, 45.83071299934123]]], "type": "Polygon"});
        
    
        function geo_json_b582e0807f7b4e49bc26cf075715ce96_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_b582e0807f7b4e49bc26cf075715ce96 = L.geoJson(null, {
                onEachFeature: geo_json_b582e0807f7b4e49bc26cf075715ce96_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_b582e0807f7b4e49bc26cf075715ce96.addData({"coordinates": [[[3.14208984375, 45.80418877127357], [3.153076171875, 45.81745246461573], [3.1640625, 45.80418877127357]]], "type": "Polygon"});
        
    
        function geo_json_92df380435054e4eb8612d10e92426cf_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_92df380435054e4eb8612d10e92426cf = L.geoJson(null, {
                onEachFeature: geo_json_92df380435054e4eb8612d10e92426cf_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_92df380435054e4eb8612d10e92426cf.addData({"coordinates": [[[3.14208984375, 45.80418877127357], [3.153076171875, 45.79092191927335], [3.1640625, 45.80418877127357]]], "type": "Polygon"});
        
    
        function geo_json_ec646e2cd5da41c8ab116ec01380b08d_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_ec646e2cd5da41c8ab116ec01380b08d = L.geoJson(null, {
                onEachFeature: geo_json_ec646e2cd5da41c8ab116ec01380b08d_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_ec646e2cd5da41c8ab116ec01380b08d.addData({"coordinates": [[[3.14208984375, 45.77765190857434], [3.153076171875, 45.79092191927335], [3.1640625, 45.77765190857434]]], "type": "Polygon"});
        
    
        function geo_json_ebca9a3b62004a3eb09ea9ed3d7126e8_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_ebca9a3b62004a3eb09ea9ed3d7126e8 = L.geoJson(null, {
                onEachFeature: geo_json_ebca9a3b62004a3eb09ea9ed3d7126e8_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_ebca9a3b62004a3eb09ea9ed3d7126e8.addData({"coordinates": [[[3.153076171875, 45.84397037549213], [3.1640625, 45.83071299934123], [3.175048828125, 45.84397037549213]]], "type": "Polygon"});
        
    
        function geo_json_13afe061c974420ca9adf476fb3b66f7_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_13afe061c974420ca9adf476fb3b66f7 = L.geoJson(null, {
                onEachFeature: geo_json_13afe061c974420ca9adf476fb3b66f7_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_13afe061c974420ca9adf476fb3b66f7.addData({"coordinates": [[[3.153076171875, 45.81745246461573], [3.1640625, 45.83071299934123], [3.175048828125, 45.81745246461573]]], "type": "Polygon"});
        
    
        function geo_json_8ebbecef0ba743c6825a92cb39862cb7_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_8ebbecef0ba743c6825a92cb39862cb7 = L.geoJson(null, {
                onEachFeature: geo_json_8ebbecef0ba743c6825a92cb39862cb7_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_8ebbecef0ba743c6825a92cb39862cb7.addData({"coordinates": [[[3.153076171875, 45.81745246461573], [3.1640625, 45.80418877127357], [3.175048828125, 45.81745246461573]]], "type": "Polygon"});
        
    
        function geo_json_9f58374d01464fe9b4bd22f49c6d9709_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_9f58374d01464fe9b4bd22f49c6d9709 = L.geoJson(null, {
                onEachFeature: geo_json_9f58374d01464fe9b4bd22f49c6d9709_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_9f58374d01464fe9b4bd22f49c6d9709.addData({"coordinates": [[[3.153076171875, 45.79092191927335], [3.1640625, 45.80418877127357], [3.175048828125, 45.79092191927335]]], "type": "Polygon"});
        
    
        function geo_json_70666e09c98d4f6ab0dffef39c4dd953_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_a35090805d2745409eee62596b425e05.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_70666e09c98d4f6ab0dffef39c4dd953 = L.geoJson(null, {
                onEachFeature: geo_json_70666e09c98d4f6ab0dffef39c4dd953_onEachFeature,
            
        }).addTo(map_a35090805d2745409eee62596b425e05);
            geo_json_70666e09c98d4f6ab0dffef39c4dd953.addData({"coordinates": [[[3.153076171875, 45.79092191927335], [3.1640625, 45.77765190857434], [3.175048828125, 45.79092191927335]]], "type": "Polygon"});
        
    
            var marker_13c6c34870c84a5f90a4f0cd971f4cd9 = L.marker(
                [45.8381, 3.1205],
                {}
            ).addTo(map_a35090805d2745409eee62596b425e05);
        
    
            map_a35090805d2745409eee62596b425e05.fitBounds(
                [[45.77765190857434, 3.109130859375], [45.84397037549213, 3.175048828125]],
                {}
            );
        
</script>\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a8e2f28>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"for i in range(5):\n",
" for j in range(5):\n",
" m.add_child(folium.GeoJson(tiles.TriangleTile(trig.x + i, trig.y + j, trig.z).to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Hexagons"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tiles.HexagonalTile at 0x1fe1a8e2860>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hexg = tiles.HexagonalTile.from_lat_lng(lat, lng, 15)\n",
"hexg"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><iframe 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style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a901b70>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"m.add_child(folium.GeoJson(hexg.to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**WARNING** : To get a single coverage of the map, you must only select tiles for which `(x+y)%2==0` !"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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    <meta http-equiv="content-type" content="text/html; charset=UTF-8" />
    
        <script>
            L_NO_TOUCH = false;
            L_DISABLE_3D = false;
        </script>
    
    <script src="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.js"></script>
    <script src="https://code.jquery.com/jquery-1.12.4.min.js"></script>
    <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
    <script src="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js"></script>
    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/leaflet@1.5.1/dist/leaflet.css"/>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css"/>
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    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css"/>
    <link rel="stylesheet" href="https://rawcdn.githack.com/python-visualization/folium/master/folium/templates/leaflet.awesome.rotate.css"/>
    <style>html, body {width: 100%;height: 100%;margin: 0;padding: 0;}</style>
    <style>#map {position:absolute;top:0;bottom:0;right:0;left:0;}</style>
    
            <meta name="viewport" content="width=device-width,
                initial-scale=1.0, maximum-scale=1.0, user-scalable=no" />
            <style>
                #map_9a7d368aaeff4bdb9457f69a44720f63 {
                    position: relative;
                    width: 100.0%;
                    height: 100.0%;
                    left: 0.0%;
                    top: 0.0%;
                }
            </style>
        
</head>
<body>    
    
            <div class="folium-map" id="map_9a7d368aaeff4bdb9457f69a44720f63" ></div>
        
</body>
<script>    
    
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                {
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                    crs: L.CRS.EPSG3857,
                    zoom: 1,
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            var tile_layer_1204989527d94491921459a1f7158166 = L.tileLayer(
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        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
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        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
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        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
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        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
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        function geo_json_7e1d4be32ce84ebab7171c67824fc5a3_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_7e1d4be32ce84ebab7171c67824fc5a3 = L.geoJson(null, {
                onEachFeature: geo_json_7e1d4be32ce84ebab7171c67824fc5a3_onEachFeature,
            
        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
            geo_json_7e1d4be32ce84ebab7171c67824fc5a3.addData({"coordinates": [[[3.153076171875, 45.82629317205421], [3.14208984375, 45.82187299381292], [3.14208984375, 45.81303158446113], [3.153076171875, 45.80861035334761], [3.1640625, 45.81303158446113], [3.1640625, 45.82187299381292]]], "type": "Polygon"});
        
    
        function geo_json_745473e4bdcf44978abdba1ab9581e21_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_745473e4bdcf44978abdba1ab9581e21 = L.geoJson(null, {
                onEachFeature: geo_json_745473e4bdcf44978abdba1ab9581e21_onEachFeature,
            
        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
            geo_json_745473e4bdcf44978abdba1ab9581e21.addData({"coordinates": [[[3.153076171875, 45.799766838237524], [3.14208984375, 45.79534455423798], [3.14208984375, 45.78649893334221], [3.153076171875, 45.78207559644304], [3.1640625, 45.78649893334221], [3.1640625, 45.79534455423798]]], "type": "Polygon"});
        
    
        function geo_json_a55fb5231678446b9cf2e028146789dd_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_a55fb5231678446b9cf2e028146789dd = L.geoJson(null, {
                onEachFeature: geo_json_a55fb5231678446b9cf2e028146789dd_onEachFeature,
            
        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
            geo_json_a55fb5231678446b9cf2e028146789dd.addData({"coordinates": [[[3.1640625, 45.839551601058595], [3.153076171875, 45.8351324756755], [3.153076171875, 45.82629317205421], [3.1640625, 45.82187299381292], [3.175048828125, 45.82629317205421], [3.175048828125, 45.8351324756755]]], "type": "Polygon"});
        
    
        function geo_json_95dfd24b8bde44d0ad40679fa62fcdbd_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_95dfd24b8bde44d0ad40679fa62fcdbd = L.geoJson(null, {
                onEachFeature: geo_json_95dfd24b8bde44d0ad40679fa62fcdbd_onEachFeature,
            
        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
            geo_json_95dfd24b8bde44d0ad40679fa62fcdbd.addData({"coordinates": [[[3.1640625, 45.81303158446113], [3.153076171875, 45.80861035334761], [3.153076171875, 45.799766838237524], [3.1640625, 45.79534455423798], [3.175048828125, 45.799766838237524], [3.175048828125, 45.80861035334761]]], "type": "Polygon"});
        
    
        function geo_json_60027bdbb14d4d3f92b5f6a858fb5c35_onEachFeature(feature, layer) {
            layer.on({
                click: function(e) {
                    map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(e.target.getBounds());
                }
            });
        };
        var geo_json_60027bdbb14d4d3f92b5f6a858fb5c35 = L.geoJson(null, {
                onEachFeature: geo_json_60027bdbb14d4d3f92b5f6a858fb5c35_onEachFeature,
            
        }).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
            geo_json_60027bdbb14d4d3f92b5f6a858fb5c35.addData({"coordinates": [[[3.1640625, 45.78649893334221], [3.153076171875, 45.78207559644304], [3.153076171875, 45.77322786973466], [3.1640625, 45.76880347992253], [3.175048828125, 45.77322786973466], [3.175048828125, 45.78207559644304]]], "type": "Polygon"});
        
    
            var marker_f9b8452e778443f893202b62499d8744 = L.marker(
                [45.8381, 3.1205],
                {}
            ).addTo(map_9a7d368aaeff4bdb9457f69a44720f63);
        
    
            map_9a7d368aaeff4bdb9457f69a44720f63.fitBounds(
                [[45.76880347992253, 3.109130859375], [45.839551601058595, 3.175048828125]],
                {}
            );
        
</script>\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
],
"text/plain": [
"<folium.folium.Map at 0x1fe1a9135c0>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = folium.Map()\n",
"for i in range(5):\n",
" for j in range(5):\n",
" if (i + j) % 2 == 0:\n",
" m.add_child(folium.GeoJson(tiles.HexagonalTile(hexg.x + i, hexg.y + j, hexg.z).to_geojson()))\n",
"m.add_child(folium.Marker([lat, lng]))\n",
"m.fit_bounds(m.get_bounds())\n",
"m"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Raw
tiles.py
import numpy as np
import pandas as pd
def mercator(lat):
"""Map latitudes (in deg) to Mercator projection.
(Between -1 and 1 for latitudes between -85.05 and +85.05).
"""
return np.arcsinh(np.tan(lat * np.pi / 180.)) / np.pi
def mercator_inv(x):
"""Map Mercator "longitudes" to DEG-longitudes."""
return np.arctan(np.sinh(x * np.pi)) * 180 / np.pi
porte_de_dijon = (45.8381, 3.1205) # A GPS position to make tests
def to_hash(x, y, z, prefix=1):
"""Hash the values of x and y in an single int.
If x = 0bXXXXXX and y = 0bYYYYYY,
then the output's binary string will be : bin(prefix) + "XYXYXYXYXY".
"""
assert prefix in [1, 2, 3]
return (
int('0'.join(bin(x)[2:])+'0', 2) + int('0'.join(bin(y)[2:]), 2) + prefix * 2**(2*z)
)
def from_hash(n):
if n in (1,2,3):
return 0,0,0,n
s = bin(n)[2:]
if len(s)%2:
prefix, suffix = int(s[:1], 2), s[1:]
else:
prefix, suffix = int(s[:2], 2), s[2:]
return int(suffix[::2], 2), int(suffix[1::2], 2), len(suffix)//2, prefix
def tile_from_hash(n):
x, y, z, prefix = from_hash(n)
if prefix == 1:
return SquareTile(x, y, z)
if prefix == 2:
return TriangleTile(x, y, z)
if prefix == 3:
return HexagonalTile(x, y, z)
def test_hash_function():
assert bin(to_hash(0,0,5)) == '0b10000000000'
assert bin(to_hash(31,0,5)) == '0b11010101010'
assert bin(to_hash(0,31,5)) == '0b10101010101'
assert bin(to_hash(31,31,5)) == '0b11111111111'
assert bin(to_hash(0,0,5,2)) == '0b100000000000'
assert bin(to_hash(31,0,5,2)) == '0b101010101010'
assert bin(to_hash(0,31,5,2)) == '0b100101010101'
assert bin(to_hash(31,31,5,2)) == '0b101111111111'
for n in range(4, 10000):
assert to_hash(*from_hash(n)) == n, n
i = 0
for z in range(8):
for prefix in range(1,4):
for x in range(2**z):
for y in range(2**z):
i += 1
assert from_hash(to_hash(x, y, z, prefix)) == (x, y, z, prefix), (x, y, z, prefix)
class Tile(object):
def __init__(self, x, y, z):
self.x = int(x)
self.y = int(y)
self.z = int(z)
def to_string(self, include_zoom=True):
if include_zoom:
return '{}/{}/{}'.format(self.z, self.x, self.y)
else:
return '{}/{}'.format(self.x, self.y)
def to_tuple(self, include_zoom=True):
if include_zoom:
return (self.z, self.x, self.y)
else:
return (self.x, self.y)
def vertex(self):
raise NotImplementedError()
def to_geojson(self):
return { "type": "Polygon", "coordinates": [[x[::-1] for x in self.vertex()]]}
class SquareTile(Tile):
def from_lat_lng(lat, lng, zoom):
x, y = (lng + 180) / 360, (1 - mercator(lat)) / 2 # x=0-1, y=1-0
return SquareTile(int(x * 2**zoom), int(y * 2**zoom), zoom)
def central_point(self):
x = (self.x + 0.5) / 2**self.z
y = (self.y + 0.5) / 2**self.z
return mercator_inv(1 - y * 2), x * 360 - 180
def vertex(self):
return [
[mercator_inv(1 - (self.y + j) / 2**self.z * 2), (self.x + i) / 2**self.z * 360 - 180]
for i, j in zip([0, 1, 1, 0], [0, 0, 1, 1])]
def to_hash(self):
prefix = 1
return to_hash(self.x, self.y, self.z, prefix=prefix)
def test_square_tile():
z = 18
s = SquareTile.from_lat_lng(*porte_de_dijon, z)
sc = s.central_point()
assert SquareTile.from_lat_lng(*sc, z).central_point() == sc
class TriangleTile(Tile):
def from_lat_lng(lat, lng, zoom):
x, y = (lng + 180) / 360, (0.5 - mercator(lat)*0.5/np.sqrt(3))
dx, mx = divmod(x * 2**zoom, 1)
dy, my = divmod(y * 2**zoom, 1)
if (dx + dy) % 2 == 0:
return TriangleTile(int(dx + (mx>my)), int(dy), zoom)
else:
return TriangleTile(int(dx + (mx>1-my)), int(dy), zoom)
def _transform(self, lat, lng):
"""transforms latitude and longitude into variables x and y,
so that a tile will have width and heaight equal to 1."""
return (
(lng + 180) / 360 * 2**self.z,
(1 - mercator(lat)/np.sqrt(3)) / 2 * 2**self.z
)
def _transform_inv(self, x, y):
"""transforms latitude and longitude into variables x and y,
so that a tile will have width and heaight equal to 1."""
return (
mercator_inv((1 - 2 * y / 2**self.z) * np.sqrt(3)),
x / 2**self.z * 360 - 180
)
def central_point(self):
x = self.x
if int(self.x + self.y) % 2 == 0: # triangle pointing up
y = (self.y + 2/3)
else:
y = (self.y + 1/3)
return self._transform_inv(x, y)
def vertex(self):
if int(self.x + self.y) % 2 == 0: # triangle pointing up
dys = [1, 0, 1]
else:
dys = [0, 1, 0]
return [
self._transform_inv(self.x + dx, self.y + dy)
for dx, dy in zip([-1, 0, 1], dys)]
def to_hash(self):
prefix = 2
return to_hash(self.x, self.y, self.z, prefix=prefix)
def test_triangle_tile():
z = 18
t = TriangleTile.from_lat_lng(*porte_de_dijon, z)
tc = t.central_point()
assert TriangleTile.from_lat_lng(*tc, z).central_point() == tc
assert t._transform(*t._transform_inv(t.x, t.y)) == (t.x, t.y)
assert (
np.round(t._transform_inv(*t._transform(*porte_de_dijon)), 10) == np.round(porte_de_dijon, 10)
).all()
class HexagonalTile(Tile):
def from_lat_lng(lat, lng, zoom):
x, y = (lng + 180) / 360, (0.5 - mercator(lat)*0.5/np.sqrt(3))
dx, mx = divmod(x * 2**zoom, 1)
dy, my = divmod(y * 2**zoom, 1)
if (dx + dy) % 2 == 0:
if mx < 2 - 3 * my:
return HexagonalTile(int(dx), int(dy), zoom)
else:
return HexagonalTile(int(dx+1), int(dy+1), zoom)
else:
if 1 - mx < 2 - 3 * my:
return HexagonalTile(int(dx+1), int(dy), zoom)
else:
return HexagonalTile(int(dx), int(dy+1), zoom)
def _transform(self, lat, lng):
"""transforms latitude and longitude into variables x and y,
so that a tile will have width and heaight equal to 1."""
return (
(lng + 180) / 360 * 2**self.z,
(1 - mercator(lat)/np.sqrt(3)) / 2 * 2**self.z
)
def _transform_inv(self, x, y):
"""transforms latitude and longitude into variables x and y,
so that a tile will have width and heaight equal to 1."""
return (
mercator_inv((1 - 2 * y / 2**self.z) * np.sqrt(3)),
x / 2**self.z * 360 - 180
)
def central_point(self):
x = self.x
y = self.y
#if int(self.x + self.y) % 2 == 0: # triangle pointing up
# y = (self.y + 2/3)
#else:
# y = (self.y + 1/3)
return self._transform_inv(x, y)
def vertex(self):
dxs = np.array([0, -1, -1, 0, 1, 1])
dys = np.array([-2, -1, 1, 2, 1, -1]) / 3
#if int(self.x + self.y) % 2 == 0: # triangle pointing up
# dys = [1, 0, 1]
#else:
# dys = [0, 1, 0]
return [
self._transform_inv(self.x + dx, self.y + dy)
for dx, dy in zip(dxs, dys)]
def to_hash(self):
prefix = 3
return to_hash(self.x, self.y, self.z, prefix=prefix)
def test_hexagon_tile():
z = 18
t = HexagonalTile.from_lat_lng(*porte_de_dijon, z)
tc = t.central_point()
assert HexagonalTile.from_lat_lng(*tc, z).central_point() == tc
assert t._transform(*t._transform_inv(t.x, t.y)) == (t.x, t.y)
assert (
np.round(t._transform_inv(*t._transform(*porte_de_dijon)), 10) == np.round(porte_de_dijon, 10)
).all()
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