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Created February 23, 2025 13:43
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Football.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPap5ff3T6Ro+9uV2qGYYr2",
"include_colab_link": true
},
"kernelspec": {
"name": "ir",
"display_name": "R"
},
"language_info": {
"name": "R"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/cavedave/6ae1ed370efc8239a5dcdeb0d495b61b/football.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"## football designs over time"
],
"metadata": {
"id": "kULepe34ClBi"
}
},
{
"cell_type": "markdown",
"source": [
"\n",
"There is a trade off between how fast a football goes and how much control you have on it. And football designers are always trying to get a ball that goes faster and that has great control. The trade off involves seams (panels) big bumps. The tecture of the ball (tiny bumps). This is a graph to tell the story of how theyre has been back and forth over time as echnology tries to get us to 1 panel but also sometimes we go to far and step back.\n",
"\n",
"Things to read\n",
"\n",
"Bray's prediction of one panel by 2022 and why https://plus.maths.org/content/fly-walks-round-football\n",
"\n",
"Nature paper on football shape https://www.nature.com/articles/srep05068\n",
"\n",
"The drag crises, spin and how the 2024 football works https://www.comsol.com/blogs/modeling-the-official-euro-2024-match-ball\n",
"\n",
"Footballs used in the womens game have finally started to get the interest they deserve. This graph just deals with mens balls but it probably shouldnt."
],
"metadata": {
"id": "fNFodvLfCh2j"
}
},
{
"cell_type": "code",
"source": [
"#' Load Soccer Ball Panel Data\n",
"#'\n",
"#' Returns a dataframe containing the number of panels on soccer balls from 1930 to 2026.\n",
"#'\n",
"#' @return A data.frame with columns: Year, Panels, Webpage, Name, Drag, Weight.\n",
"#' @export\n",
"load_soccer_ball_data <- function() {\n",
" data <- \"Year,Panels,Webpage,Name,Drag,Weight\n",
"1930,12,http://worldcupballs.info/world-cup-balls/1930-uruguay/1930-world-cup-ball-t-model.html,,,\n",
"1934,13,http://worldcupballs.info/world-cup-balls/1934-italy/1934-world-cup-ball-federale-102.html,,,\n",
"1938,13,http://worldcupballs.info/world-cup-balls/1938-france/1938-world-cup-ball-allen.html,,,\n",
"1950,12,http://worldcupballs.info/world-cup-balls/1950-brazil/1950-world-cup-ball-superball.html,,,\n",
"1954,18,http://worldcupballs.info/world-cup-balls/1954-switzerland/1954-world-cup-ball-swiss-world-champion.html,,,\n",
"1958,24,http://worldcupballs.info/world-cup-balls/1958-sweden/1958-world-cup-ball-top-star.html,,,\n",
"1962,18,http://worldcupballs.info/world-cup-balls/1962-chile/1962-world-cup-ball-crack.html,,,\n",
"1966,18,https://en.wikipedia.org/wiki/Challenge_4-Star,Challenge 4-Star,,\n",
"1970,32,https://en.wikipedia.org/wiki/Adidas_Telstar,Telstar (First 32-panel design),,\n",
"1982,32,https://en.wikipedia.org/wiki/Adidas_Tango_Espana,Tango España (Last Leather Ball),,\n",
"1986,32,https://en.wikipedia.org/wiki/Adidas_Azteca,Azteca (First Fully Synthetic Ball),,\n",
"1994,32,https://en.wikipedia.org/wiki/Adidas_Questra,Questra (High-Speed Foam Layer),,\n",
"2002,32,https://en.wikipedia.org/wiki/Adidas_Fevernova,Fevernova (Revised Weight Distribution),,\n",
"2006,14,https://en.wikipedia.org/wiki/Adidas_Teamgeist,Teamgeist (First Non-32 Panel),,\n",
"2008,14,https://en.wikipedia.org/wiki/Adidas_Europass,Europass,,\n",
"2010,8,https://en.wikipedia.org/wiki/Adidas_Jabulani,Jabulani (Controversial Panel Reduction),3.3×10^5,\n",
"2014,6,https://en.wikipedia.org/wiki/Adidas_Brazuca,Brazuca (Most Stable Flight),,\n",
"2016,6,https://en.wikipedia.org/wiki/Adidas_Beau_Jeu,Beau Jeu,,\n",
"2018,6,https://en.wikipedia.org/wiki/Adidas_Telstar_18,Telstar 18 (Modern Retro),,\n",
"2020,6,https://en.wikipedia.org/wiki/Adidas_Uniforia,Uniforia,,\n",
"2022,20,https://en.wikipedia.org/wiki/Adidas_Al_Rihla,Al Rihla (Return to More Panels),,\n",
"2024,20,https://en.wikipedia.org/wiki/UEFA_Euro_2024#Match_ball,Fussballliebe,,\n",
"2026,4,https://www.footyheadlines.com/2024/11/2026-world-cup-ball.html,Trionda (Drastic Panel Reduction),,\n",
"\"\n",
"\n",
" # Convert to dataframe\n",
" df <- read.csv(text = data, stringsAsFactors = FALSE)\n",
" return(df)\n",
"}\n"
],
"metadata": {
"id": "1O8SAKelqWwq"
},
"execution_count": 61,
"outputs": []
},
{
"cell_type": "code",
"source": [
"options(repr.plot.width = 16, repr.plot.height = 9)"
],
"metadata": {
"id": "ttbeUlHwrNk5"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"\n",
"bp <- ggplot(mydata, aes(x = Year, y = Panels)) +\n",
" geom_line(color = \"black\", size = 1.5, linetype = \"solid\") +\n",
" geom_point(size = 4, color = \"#FFD700\") +\n",
" geom_text(aes(label = Panels), vjust = -1, size = 4, fontface = \"bold\", color = \"black\") +\n",
" ggtitle(\"The Jabulani Effect: When the One-Panel Football Dream Took a Wild Curve\",\n",
" subtitle = \"More seams, more control. Fewer seams, faster flight. The eternal football dilemma.\") +\n",
" xlab(\"Year\") +\n",
" ylab(\"Number of Panels\") +\n",
" scale_y_continuous(breaks = c(0, 4, 6, 8, 10, 14, 20, 32)) + # More detail at low values\n",
" theme_minimal(base_size = 16) +\n",
" theme(\n",
" plot.title = element_text(lineheight = 1.2, face = \"bold\", size = 20, hjust = 0.5),\n",
" axis.title = element_text(size = 14),\n",
" axis.text = element_text(size = 12),\n",
" panel.grid.major = element_line(color = \"gray80\", linetype = \"dashed\")\n",
" ) +\n",
"\n",
" # Annotate the key moments (all black for readability)\n",
" annotate(\"text\", x = 1996, y = 14, label = \"Fewer seams\\n more control\\n or so we thought\", color = \"black\", hjust = 0) +\n",
" annotate(\"text\", x = 1994, y = 9, label = \"The Jabulani Knuckleball:\\n Too smooth to predict\", color = \"black\", hjust = 0) +\n",
" annotate(\"text\", x = 2009, y = 4.5, label = \"Added texture brings\\n stability back\", color = \"black\", hjust = 0) +\n",
" annotate(\"text\", x = 2020, y = 22, label = \"More predictable, more accuracy\\n more seams\", color = \"black\", hjust = 0) +\n",
" #annotate(\"text\", x = 2022, y = 2.8, label = \"1 panel here\\n we come?\", color = \"black\", hjust = 0) +\n",
"\n",
" # Bray's Prediction: Dashed line from 2002 (32 panels) to 2022 (1 panel)\n",
" geom_segment(aes(x = 2002, y = 32, xend = 2022, yend = 1), color = \"gray40\", linetype = \"dashed\", size = 1) +\n",
"\n",
" # Black circle for Bray's 2022 prediction (1 panel)\n",
" geom_point(aes(x = 2022, y = 1), size = 5, color = \"black\", shape = 21, fill = \"white\", stroke = 2) +\n",
" annotate(\"text\", x = 2020, y = 1, label = \"Bray's Prediction:\\n 1 Panel by 2022\", color = \"black\", hjust = 1)\n",
"\n",
"# Save plot\n",
"ggsave(\"soccer_panels_wobble.png\", plot = bp, width = 16, height = 9, units = \"in\", dpi = 300)\n",
"\n",
"# Display the plot\n",
"print(bp)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 843
},
"id": "CsjV0mwg7GDl",
"outputId": "12babe6c-3b3c-4ce9-91e7-e790aa360b47"
},
"execution_count": 64,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"Warning message in geom_segment(aes(x = 2002, y = 32, xend = 2022, yend = 1), color = \"gray40\", :\n",
"“\u001b[1m\u001b[22mAll aesthetics have length 1, but the data has 23 rows.\n",
"\u001b[36mℹ\u001b[39m Please consider using `annotate()` or provide this layer with data containing\n",
" a single row.”\n",
"Warning message in geom_point(aes(x = 2022, y = 1), size = 5, color = \"black\", shape = 21, :\n",
"“\u001b[1m\u001b[22mAll aesthetics have length 1, but the data has 23 rows.\n",
"\u001b[36mℹ\u001b[39m Please consider using `annotate()` or provide this layer with data containing\n",
" a single row.”\n",
"Warning message in geom_segment(aes(x = 2002, y = 32, xend = 2022, yend = 1), color = \"gray40\", :\n",
"“\u001b[1m\u001b[22mAll aesthetics have length 1, but the data has 23 rows.\n",
"\u001b[36mℹ\u001b[39m Please consider using `annotate()` or provide this layer with data containing\n",
" a single row.”\n",
"Warning message in geom_point(aes(x = 2022, y = 1), size = 5, color = \"black\", shape = 21, :\n",
"“\u001b[1m\u001b[22mAll aesthetics have length 1, but the data has 23 rows.\n",
"\u001b[36mℹ\u001b[39m Please consider using `annotate()` or provide this layer with data containing\n",
" a single row.”\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"plot without title"
],
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ZIx/pZNm/4troGSVzgcjmz/dDgcA/+IUv9G2bYIcXuf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\nbHGydOnSUCjU1NQkhMjIyDjZ3f785z8nMJR5sAMaAEzObrfn5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Kysr0mzgZYAW0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\n72TmSZo3mTx587z9H3300RkzZgQHBzt1Son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},
"metadata": {
"image/png": {
"width": 960,
"height": 540
}
}
}
]
},
{
"cell_type": "markdown",
"source": [
"These details are compiled from various sources, including the List of FIFA World Cup official match balls and The History of the Official World Cup Match Balls."
],
"metadata": {
"id": "1Lk5yNgIo8cO"
}
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "KkiDXTLBo87n"
},
"execution_count": null,
"outputs": []
}
]
}
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soccer_panels_wobble

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