Solved the npoly twist equation. works for n sides greater than 3
This commit is contained in:
parent
ec6314dae2
commit
6233468037
Binary file not shown.
After Width: | Height: | Size: 192 KiB |
Binary file not shown.
After Width: | Height: | Size: 226 KiB |
Binary file not shown.
After Width: | Height: | Size: 148 KiB |
|
@ -28,7 +28,7 @@
|
|||
render();
|
||||
render_clear();
|
||||
|
||||
draw_floral(9, 200, rotation *0, centerX, centerY, "red");
|
||||
draw_floral(16, 200, rotation *0, centerX, centerY, "red");
|
||||
|
||||
|
||||
}, 1000 / fps);
|
||||
|
|
|
@ -0,0 +1,141 @@
|
|||
<!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();
|
||||
|
||||
DrawSquareTwist_width(7,400,0,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 DrawSquareTwist_width(sides,width, rotation,innerRotation, colour){
|
||||
// if(innerRotation >59){
|
||||
// innerRotation=59
|
||||
// }
|
||||
|
||||
let out_angle = 0
|
||||
let innerAngle = 180 - ((sides-2) *180/sides);
|
||||
// console.log(innerAngle);
|
||||
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;
|
||||
console.log(minWidth);
|
||||
// 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 * (((innerAngle/2)*3) - out_angle + innerAngle * Math.floor(out_angle / innerAngle))))
|
||||
|
||||
// let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120)))) //triangle
|
||||
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle))) //triangle
|
||||
console.log(innerRotation + ": " + out_angle);
|
||||
for (let i = 0; i < 25; i++) {
|
||||
DrawPolygon(sides,width*widthMultiplier**i,out_angle*i, colour)
|
||||
// draw_triangle(180+out_angle*i,width*widthMultiplier**i, colour)
|
||||
}
|
||||
|
||||
}
|
||||
function DrawPolygon(sides, width, rotation, colour) {
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(centerX + width * Math.cos(((rotation*4)*Math.PI/180) / sides), centerY + width * Math.sin(((rotation*4)*Math.PI/180) / sides));
|
||||
|
||||
for (var i = 1; i <= sides; i += 1) {
|
||||
ctx.lineTo(
|
||||
centerX + width * Math.cos((i * 2 * Math.PI +((rotation*4)*Math.PI/180)) / sides),
|
||||
centerY + width * Math.sin((i * 2 * Math.PI +((rotation*4)*Math.PI/180)) / sides)
|
||||
);
|
||||
}
|
||||
|
||||
ctx.strokeStyle = colour;
|
||||
ctx.lineWidth = 1;
|
||||
ctx.stroke();
|
||||
}
|
||||
|
||||
|
||||
function drawSquare(angle,size, colour) {
|
||||
ctx.save();
|
||||
ctx.translate(centerX, centerY)//-(Math.sin(rad(angle)) *centerX));
|
||||
ctx.rotate(rad(angle + 180));
|
||||
ctx.beginPath();
|
||||
ctx.strokeStyle = colour;
|
||||
ctx.rect(-size/2, -size/2, size, size);
|
||||
ctx.stroke();
|
||||
ctx.restore();
|
||||
}
|
||||
|
||||
function draw_triangle(ang, radius, colour) {
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(centerX + Math.cos(rad(90 + 120 * 1 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 1 + ang)) * radius);
|
||||
ctx.lineTo(centerX + Math.cos(rad(90 + 120 * 2 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 2 + ang)) * radius);
|
||||
ctx.lineTo(centerX + Math.cos(rad(90 + 120 * 3 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 3 + ang)) * radius);
|
||||
ctx.lineTo(centerX + Math.cos(rad(90 + 120 * 1 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 1 + ang)) * radius);
|
||||
ctx.strokeStyle = colour;
|
||||
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>
|
|
@ -0,0 +1,109 @@
|
|||
<!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>
|
|
@ -0,0 +1,71 @@
|
|||
<!DOCTYPE html>
|
||||
<html>
|
||||
<!-- ahhh -->
|
||||
|
||||
<body style="margin: 0; overflow: hidden">
|
||||
<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();
|
||||
|
||||
DrawPolygon(4, 300, rotation, "red");
|
||||
}, 1000 / fps);
|
||||
rotation += deg_per_sec / fps; // was = j = angle, now = rotation
|
||||
currentFrame += 1; // was = i
|
||||
}
|
||||
}
|
||||
|
||||
render();
|
||||
|
||||
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 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>
|
Binary file not shown.
After Width: | Height: | Size: 138 KiB |
|
@ -0,0 +1,81 @@
|
|||
<!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();
|
||||
|
||||
DrawSquareTwist_angle(400,0,rotation,"red")
|
||||
|
||||
}, 1000 / fps);
|
||||
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
|
||||
currentFrame += 1; // was = i
|
||||
}
|
||||
}
|
||||
|
||||
render();
|
||||
|
||||
|
||||
|
||||
function DrawSquareTwist_angle(width, rotation,innerRotation, colour){
|
||||
let out_angle = innerRotation;
|
||||
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (130 - out_angle + 90 * Math.floor(out_angle / 90))))+0.5
|
||||
|
||||
for (let i = 0; i < 25; i++) {
|
||||
drawSquare(innerRotation*i,width*widthMultiplier**i, colour)
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
function drawSquare(angle,size, colour) {
|
||||
ctx.save();
|
||||
ctx.translate(centerX, centerY)//-(Math.sin(rad(angle)) *centerX));
|
||||
ctx.rotate(rad(angle + 180));
|
||||
ctx.beginPath();
|
||||
ctx.strokeStyle = colour;
|
||||
ctx.rect(-size/2, -size/2, size, size);
|
||||
ctx.stroke();
|
||||
ctx.restore();
|
||||
}
|
||||
|
||||
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>
|
Binary file not shown.
After Width: | Height: | Size: 176 KiB |
|
@ -2,7 +2,7 @@
|
|||
<html>
|
||||
<!-- ahhh -->
|
||||
|
||||
<body style="margin:0;overflow: hidden;">
|
||||
<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>
|
||||
|
@ -29,8 +29,8 @@
|
|||
render();
|
||||
render_clear();
|
||||
|
||||
DrawTriangleTwist_angle(400,0,rotation,"red")
|
||||
// DrawTriangleTwist_width(400,0,rotation,"red")
|
||||
// DrawTriangleTwist_angle(400,0,rotation,"red")
|
||||
DrawTriangleTwist_width(400,0,rotation,"red")
|
||||
|
||||
}, 1000 / fps);
|
||||
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
|
||||
|
@ -41,9 +41,10 @@
|
|||
render();
|
||||
|
||||
|
||||
function DrawTriangleTwist_width(width, rotation,innerRotation, colour){
|
||||
|
||||
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - innerRotation + 120 * Math.floor(innerRotation / 120))))
|
||||
function DrawTriangleTwist_angle(width, rotation,innerRotation, colour){
|
||||
let out_angle = innerRotation;
|
||||
// let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - innerRotation + 120 * Math.floor(innerRotation / 120))))
|
||||
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120))))
|
||||
|
||||
for (let i = 0; i < 25; i++) {
|
||||
draw_triangle(180+innerRotation*i,width*widthMultiplier**i, colour)
|
||||
|
@ -51,7 +52,7 @@
|
|||
|
||||
}
|
||||
|
||||
function DrawTriangleTwist_angle(width, rotation,innerRotation, colour){
|
||||
function DrawTriangleTwist_width(width, rotation,innerRotation, colour){
|
||||
let out_angle = 0
|
||||
let innerAngle = innerRotation - (120*Math.floor(innerRotation/120));
|
||||
|
||||
|
@ -62,7 +63,7 @@
|
|||
out_angle = -120 / (2 * Math.cos(2 * Math.PI / 3 - (innerAngle * Math.PI / 180))) + 180
|
||||
}
|
||||
|
||||
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120))))
|
||||
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle + 120 * Math.floor(out_angle / 120)))) //150 = 90+innerangle/2
|
||||
|
||||
for (let i = 0; i < 25; i++) {
|
||||
draw_triangle(180+out_angle*i,width*widthMultiplier**i, colour)
|
||||
|
@ -70,9 +71,6 @@
|
|||
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
function draw_triangle(ang, radius, colour) {
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(centerX + Math.cos(rad(90 + 120 * 1 + ang)) * radius, centerY + Math.sin(rad(90 + 120 * 1 + ang)) * radius);
|
||||
|
|
Loading…
Reference in New Issue