Created
March 31, 2024 22:14
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A helper to create custom mounts
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// Params | |
height_difference = 14; // mm | |
top_mount_thickness = 2; // mm | |
top_mount_diameter = 6; // mm | |
top_mount_dimension_x = 85; // mm | |
top_mount_dimension_y = 40; // mm | |
bottom_mount_thickness = 2; // mm | |
bottom_mount_diameter = 3; //mm | |
bottom_mount_dimension_x = 62.5; // mm | |
bottom_mount_dimension_y = 62.5; // mm | |
// Calculations | |
dx = abs(top_mount_dimension_x - bottom_mount_dimension_x) / 2; | |
dy = abs(top_mount_dimension_y - bottom_mount_dimension_y) / 2; | |
d_both = sqrt(dx * dx + dy * dy); | |
angle = atan2(d_both, height_difference); | |
top_ellipse_semi_major = top_mount_diameter / 2 / cos(angle); | |
top_ellipse_semi_minor = top_mount_diameter / 2; | |
bottom_ellipse_semi_major = bottom_mount_diameter / 2 / cos(angle); | |
bottom_ellipse_semi_minor = bottom_mount_diameter / 2; | |
// Interpolate | |
function lerp(a, b, frac) = a * (1 - frac) + b * frac; | |
// Function to generate an interpolated shape between two ellipses | |
function interpolateEllipses(rx1, ry1, x1, y1, z1, rx2, ry2, x2, y2, z2, steps) = | |
let( | |
center1 = [x1, y1, z1], | |
center2 = [x2, y2, z2], | |
vertices = concat( | |
// Generate vertices for interpolated ellipses | |
[for (j = [0 : steps]) | |
for (i = [0 : 359]) | |
let( | |
fraction = j / steps, | |
rx = lerp(rx1, rx2, fraction), | |
ry = lerp(rx1, rx2, fraction), | |
x = lerp(x1, x2, fraction), | |
y = lerp(y1, y2, fraction), | |
z = lerp(z1, z2, fraction) | |
) [x + cos(i) * rx, y + sin(i) * ry, z] | |
], | |
[center1, center2] | |
), | |
faces = concat( | |
// Make the sides | |
[for (j = [0 : steps - 1]) | |
for (i = [0 : 359]) | |
[ | |
i + (j + 1) * 360, (i + 1) % 360 + (j + 1) * 360, (i + 1) % 360 + j * 360, i + j * 360 | |
], | |
], | |
// Cap ellipse 1 | |
[for (i = [0 : 359]) | |
[i, (i + 1) % 360, len(vertices) - 2] | |
], | |
// Cap ellipse 2 | |
[for (i = [0 : 359]) | |
[(i + 1) % 360 + 360 * steps, i + 360 * steps, len(vertices) - 1] | |
] | |
) | |
) [vertices, faces]; | |
module interp_ellipses(rx1, ry1, x1, y1, z1, rx2, ry2, x2, y2, z2, steps) { | |
polyhedron_points_faces = interpolateEllipses(rx1, ry1, x1, y1, z1, rx2, ry2, x2, y2, z2, steps); | |
polyhedron(polyhedron_points_faces[0], polyhedron_points_faces[1], convexity=10); | |
} | |
interp_ellipses(bottom_ellipse_semi_minor, bottom_ellipse_semi_minor, -dx / 2, 0, - height_difference / 2, top_ellipse_semi_minor, top_ellipse_semi_minor, dx / 2, 0, height_difference / 2, 100); | |
translate([-dx / 2, 0, -height_difference / 2 - bottom_mount_thickness]) | |
cylinder(h = bottom_mount_thickness, r = bottom_mount_diameter / 2, $fn = 359); | |
translate([dx / 2, 0, height_difference / 2]) | |
cylinder(h = top_mount_thickness, r = top_mount_diameter / 2, $fn = 359); | |
translate([-dx / 2, 0, -height_difference / 2 - bottom_mount_thickness - bottom_mount_diameter]) | |
cylinder(h = bottom_mount_diameter, r1 = 0, r2 = bottom_mount_diameter, $fn = 359); | |
translate([dx / 2, 0, height_difference / 2 + top_mount_thickness]) | |
cylinder(h = top_mount_diameter, r1 = top_mount_diameter, r2 = 0, $fn = 359); |
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