animate/Catalogue/npoly twist.html

109 lines
3.4 KiB
HTML
Raw Normal View History

<!DOCTYPE html>
<html>
<!-- ahhh -->
<body style="margin:0;">
<canvas id="myCanvas" width="10" height="10"
style="display: block;box-sizing: border-box;">
Your browser does not support the HTML5 canvas tag.</canvas>
<script>
let c = document.getElementById("myCanvas");
let ctx = c.getContext("2d");
ctx.canvas.width = window.innerWidth;
ctx.canvas.height = window.innerHeight;
let deg_per_sec = 30;
let time = 120;
let fps = 60;
centerX = ctx.canvas.width / 2;
centerY = ctx.canvas.height / 2;
rotation = 0; //was = j = angle
currentFrame = 0; //was = i
function render() {
if (currentFrame < time / (1 / fps)) {
setTimeout(() => {
render();
render_clear();
DrawPolyTwist_width(3,400,-90,rotation,"red")
// DrawSquareTwist_angle(3,400,0,rotation,"red")
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
currentFrame += 1; // was = i
}
}
render();
function DrawSquareTwist_angle(sides,width, rotation,innerRotation, colour){
let out_angle = innerRotation;
// let widthMultiplier = 169 / (239 * Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
// let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
for (let i = 0; i < 25; i++) {
DrawPolygon(sides,width*widthMultiplier**i,innerRotation*i, colour)
}
function DrawPolyTwist_width(sides,width, rotation,innerRotation, colour){
let out_angle = 0
let innerAngle = 180 - ((sides-2) *180/sides);
let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
if (scopeAngle < innerAngle/2) {
out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
}
else {
out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
}
let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
for (let i = 0; i < 25; i++) {
DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colour)
}
}
function DrawPolygon(sides, width, rotation, colour) {
ctx.beginPath();
ctx.moveTo (centerX + width * Math.cos(rotation*Math.PI/180), centerY + width * Math.sin(rotation*Math.PI/180));
for (var i = 1; i <= sides; i += 1) {
ctx.lineTo(
centerX + width * Math.cos(i * 2 * Math.PI / sides + (rotation*Math.PI/180)),
centerY + width * Math.sin(i * 2 * Math.PI / sides + (rotation*Math.PI/180))
);
}
ctx.strokeStyle = colour;
ctx.lineWidth = 1;
ctx.stroke();
}
function rad(degrees) {
var pi = Math.PI;
return degrees * (pi / 180);
}
function render_clear() {
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
ctx.fillStyle = "black";
ctx.fillRect(0, 0, ctx.canvas.width, ctx.canvas.height);
}
</script>
</body>
</html>