catalogued triangle twist

This commit is contained in:
Sam 2022-03-16 19:33:42 +13:00
parent 70421f763f
commit ec6314dae2
8 changed files with 325 additions and 365 deletions

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@ -0,0 +1,97 @@
<!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();
draw_shape_fill(4, 200, rotation, centerX, centerY, "blue")
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = angle, now = rotation
currentFrame += 1; // was = i
}
}
render();
function draw_shape_fill(sides, radius, rotation, x, y, colour) {
var rot = Math.round((((sides - 2) * 180) / sides) * 2);
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)); //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(
x + Math.cos(rad(90 + piv * i + rotation)) * radius,
y + Math.sin(rad(90 + piv * i + rotation)) * radius,
radius,
stt - (stt - end) / 2,
end + rad(n),
0
);
ctx.fillStyle = colour;
ctx.fill();
ctx.beginPath();
ctx.arc(
x + Math.cos(rad(90 + piv * i + rotation)) * radius,
y + Math.sin(rad(90 + piv * i + rotation)) * radius,
radius,
stt,
end - (end - stt) / 2 + rad(n),
0
);
ctx.fillStyle = colour;
ctx.fill();
stt = end + -rad(rot - piv); //+rad(30);
}
}
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>

122
Catalogue/foral sub.html Normal file
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<!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();
draw_floral(11, 200, rotation *0, centerX, centerY, "red"); //used as an example
draw_shape_sub(11, 200, 0, centerX, centerY, "blue");
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = angle, now = rotation
currentFrame += 1; // was = i
}
}
render();
function draw_shape_sub(sides, radius, rotation, x, y, colour) {
var denominator = sides - 2;
//var rot = Math.round((sides - 2) * 180 / sides * 2)
var rot =
Math.round((((sides - 2) * 180) / sides) * 2) * (1 / denominator);
var piv = 360 / sides;
var l = 1;
var stt = 0.5 * Math.PI - rad(rot) * l + rad(rotation);
var end = 0;
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(
x + Math.cos(rad(90 + piv * i + rotation)) * radius,
y + Math.sin(rad(90 + piv * i + rotation)) * radius,
radius,
stt,
end,
0
);
ctx.strokeStyle = colour;
ctx.stroke();
ctx.beginPath();
ctx.arc(
x + Math.cos(rad(90 + piv * i + rotation)) * radius,
y + Math.sin(rad(90 + piv * i + rotation)) * radius,
radius,
stt - rad(rot) * l,
end - rad(rot) * l,
0
);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -rad(rot - piv); //+rad(30);
}
}
function draw_floral(sides, radius, rotation, x, y, colour) {
var rot = Math.round((((sides - 2) * 180) / sides) * 2);
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(
x + Math.cos(rad(90 + piv * i + rotation)) * radius,
y + Math.sin(rad(90 + piv * i + rotation)) * radius,
radius,
stt,
end,
0
);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -rad(rot - piv); //+rad(30);
}
}
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>

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@ -34,7 +34,7 @@
let colour1 = [137, 54, 255];
let colour2 = [158, 255, 54];
// Draw_nodal_expanding(5, 100000, rotation * 2 + 33000,0, colour1, colour2, 0.5, 2)
Draw_nodal_expanding(5, 10000, rotation+33000, 0, colour1, colour2, 1, 1)
Draw_nodal_expanding(5, 10000, rotation+33000, 0, colour1, colour2, 1, 2)
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = angle, now = rotation

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<!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();
DrawTriangleTwist_angle(400,0,rotation,"red")
// DrawTriangleTwist_width(400,0,rotation,"red")
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
currentFrame += 1; // was = i
}
}
render();
function DrawTriangleTwist_width(width, rotation,innerRotation, colour){
let widthMultiplier = 1 / (2 * Math.sin(Math.PI / 180 * (150 - innerRotation + 120 * Math.floor(innerRotation / 120))))
for (let i = 0; i < 25; i++) {
draw_triangle(180+innerRotation*i,width*widthMultiplier**i, colour)
}
}
function DrawTriangleTwist_angle(width, rotation,innerRotation, colour){
let out_angle = 0
let innerAngle = innerRotation - (120*Math.floor(innerRotation/120));
if (innerAngle < 60) {
out_angle = 120 / (2 * Math.cos(rad(innerAngle))) - 60
}
else {
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))))
for (let i = 0; i < 25; i++) {
draw_triangle(180+out_angle*i,width*widthMultiplier**i, colour)
}
}
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>

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@ -28,7 +28,7 @@
render();
render_clear();
draw_triangle(0, 200)
draw_triangle(0, 200, "red");
}, 1000 / fps);
rotation += deg_per_sec / fps; // was = j = angle, now = rotation
@ -38,13 +38,13 @@
render();
function draw_triangle(ang, radius) {
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 = "red";
ctx.strokeStyle = colour;
ctx.stroke();
}

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@ -1,361 +0,0 @@
<!DOCTYPE html>
<html>
<!-- ahhh -->
<body>
<canvas id="myCanvas" width="1920" height="1080" style="border:1px solid #d3d3d3;">
Your browser does not support the HTML5 canvas tag.</canvas>
<script>
function rad(degrees) {
var pi = Math.PI;
return degrees * (pi / 180);
}
function colourToText(colour) {
return "rgb(" + colour[0] + "," + colour[1] + "," + colour[2] + ")"
}
function LerpRGB(a, b, t) {
if (t < 0) {
t *= -1
}
var newColor = [0, 0, 0];
newColor[0] = a[0] + (b[0] - a[0]) * t;
newColor[1] = a[1] + (b[1] - a[1]) * t;
newColor[2] = a[2] + (b[2] - a[2]) * t;
return newColor;
}
function draw_shape_sub(sides, radius, rotation, x, y, colour) {
var denominator = sides - 2
//var rot = Math.round((sides - 2) * 180 / sides * 2)
var rot = (Math.round((sides - 2) * 180 / sides * 2)) * (1 / denominator)
var piv = 360 / sides;
var l = 1
var stt = 0.5 * Math.PI - rad(rot) * l + rad(rotation);
var end = 0;
for (let i = 1; i < sides + 1; i++) {
end = (stt + rad(rot));
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end, 0);
ctx.strokeStyle = colour;
ctx.stroke();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - rad(rot) * l, end - rad(rot) * l, 0);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function draw_shape_fill(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)) //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - (stt - end) / 2, end + rad(n), 0);
ctx.fillStyle = colour;
ctx.fill();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end - (end - stt) / 2 + rad(n), 0);
ctx.fillStyle = colour;
ctx.fill();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
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);
}
function draw_triangle(ang, radius) {
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 = "red";
ctx.stroke();
}
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
var sides_org = 3;
var r = 300;
var deg_per_sec = 30;
var time = 120;
var fps = 60;
var rot_org = Math.round((sides_org - 2) * 180 / sides_org * 2)
var piv = 360 / sides_org;
var angle = 0;
centerX = 1920 / 2//1875/2;
centerY = 1080 / 2//950/2;//-(Math.tan(30*Math.PI/180)*width/2);
j = 0;
i = 0;
n_angle = 0
i_angle = 0
tmp_a = angle
//var capturer = new CCapture( { format: 'webm' } );
/*
var capturer = new CCapture( {
format: 'webm',
framerate: 60,
verbose: true
} );
*/
//capturer.start();
/*
function animate() {
requestAnimationFrame( animate );
test();
}
*/
delMe = 0
function render() {
if (i < time / (1 / fps)) {
setTimeout(() => {
render();
//requestAnimationFrame(test);
angle = j;
render_clear();
r = 400
tmpA = (Math.asin(Math.cos(rad(angle)))) / (2 * Math.PI) + .75
tmpB = Math.cos(rad(angle)) / 4 + 0.75
tmpC = Math.cos(angle * (3 * Math.PI / 180)) / 4 + 0.75
tmpD = (Math.sin(30 * Math.PI / 180)) / Math.sin((150 - (angle - 120 * Math.floor(angle / 120)) * Math.PI / 180))
fl = angle - 120 * Math.floor(angle / 120)
tmpE = 1 / (2 * Math.cos(Math.PI / 3 - (fl * Math.PI / 180)))
//console.log(tmpE)
//console.log("angle: " + angle + " tmpC: " +Math.round(tmpC * 1000) / 1000)
/*
console.log(Math.cos(0*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(30*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(60*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(180*(3*Math.PI/180))/4+0.75)
*/
s = 400
speed_mult = 1
tmpF = 1 / (2 * Math.sin(Math.PI / 180 * (150 - angle * speed_mult + 120 * Math.floor(angle * speed_mult / 120))))
tmpAng = n_angle
fl1 = (n_angle - 2 * Math.PI / 3 * (Math.floor(3 * n_angle / (2 * Math.PI))))
t1 = Math.abs(Math.sin(Math.PI / 3 - fl1) / (2 * (Math.cos(Math.PI / 3 - fl1)) ** 2))
n_angle += 1 / (t1 + 1)
new_angle = -120 * tmpF + 120
tmpG = 1 / (2 * Math.sin(Math.PI / 180 * (150 - angle * speed_mult + 120 * Math.floor(angle * speed_mult / 120))))
//console.log("angle: " + t1 + " | fl1 : "+ fl1)
angle_accident = 120 * Math.floor(angle * speed_mult / 120)
out_angle = 0
i_angle += angle - tmp_a
tmp_a = angle
if (i_angle > 120) {
i_angle -= 120
}
if (i_angle < 60) {
out_angle = 120 / (2 * Math.cos(rad(i_angle))) - 60
}
else {
out_angle = -120 / (2 * Math.cos(2 * Math.PI / 3 - (i_angle * Math.PI / 180))) + 180
}
//console.log("angle: " + i_angle + " | out A: " + out_angle)
tmpFinal = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle * speed_mult + 120 * Math.floor(out_angle * speed_mult / 120))))
//console.log(400*tmpFinal-delMe)
delMe = 400 * tmpFinal
//draw_triangle(180+0,s)
//draw_triangle(180+angle*speed_mult,s*tmpF)
//draw_triangle(180+out_angle*speed_mult,s*tmpFinal)
//draw_triangle(180+new_angle*speed_mult,s*tmpG)
for (let i = 0; i < 25; i++) {
draw_triangle(180+out_angle*speed_mult*i,s*tmpFinal**i)
//draw_triangle(180+angle*speed_mult*i,s*tmpF**i)
}
height = 400
L = height / 2 * (Math.asin(Math.cos(angle * Math.PI / height)) / Math.PI) + height * 3 / 4
L2 = -(.5 * angle - height * Math.floor(angle / (height * 2))) + height
B = rad(180) - Math.asin(height * Math.sin(rad(30)) / L2)
theFinalAngle = rad(150) - B
console.log("L :" + L2 + " | B: " + B * 180 / Math.PI)
//draw_triangle(180+ (theFinalAngle*180/Math.PI) ,L)
//draw_triangle((angle-180)/2.8,tmpA*400)
//draw_shape(7,300,0,centerX,centerY,"red");
//draw_shape_sub(7,300,0,centerX,centerY,"blue");
//draw_shape_fill(5,300,angle,centerX,centerY,"purple");
/*
draw_shape_fill(5,300,angle,centerX,centerY,"purple");
draw_shape_fill(5,115,-(angle+108),centerX,centerY,"red");
draw_shape_fill(5,44,angle+108,centerX,centerY,"yellow");
draw_shape(5,300,angle,centerX,centerY,"red");
draw_shape(5,115,-(angle+108),centerX,centerY,"yellow");
draw_shape(5,44,angle+108,centerX,centerY,"purple");
*/
//Draw_Spiral(4,400,0,centerX,centerY,'red');
//Draw_Spiral_Pattern(50, 250, angle, centerX, centerY, 'red')
//Draw_Shape_accident(4,300,angle,centerX,centerY,'red')
//Draw_Spiral(10,400,-angle,centerX,centerY,'red');
//draw_shape(99,300,angle,centerX,centerY,"red");
//draw_triangle(0);
//draw_tri(angle);
//draw_test_fill(angle);
//draw_shape(5,300,angle,centerX,centerY);
//draw_shape(3,300,-angle,centerX,centerY)
//draw_shape(7,400,angle,centerX,centerY)
//draw_shape(6,r,-angle,centerX,centerY)
/*
colour1 = [137, 54, 255];
colour2 = [158, 255, 54];
ncolour = LerpRGB(colour1, colour2, Math.cos(rad(angle)));
*/
colour1 = [137, 54, 255];
colour2 = [158, 255, 54];
//Draw_nodal_expanding(2.5,100000,angle*2+33000,angle*0, colour1,colour2,0.5, 5)
//Draw_nodal_expanding(2.5,10000,angle,angle*0, colour1,colour2,0.5, 1)
//console.log(angle*2)
//draw_shape(55,300,angle,centerX,centerY,"pink")
//Draw_Phyllotaxis(angle/5000+1);
//draw_shape_fill(4,400,angle,centerX,centerY,colourToText(ncolour));
//capturer.capture( document.getElementById("myCanvas") );
}, (1000 / fps));
j += deg_per_sec * 1 / fps;
i += 1;
}
else {
//capturer.stop();
//capturer.save();
}
}
render()
//render_clear()
//Draw_nodal(500, 100,33)
//draw_shape_fill(5,300,angle,centerX,centerY,"purple");
//draw_shape_fill(5,115,angle+108,centerX,centerY,"red");
//draw_shape(5,300,angle,centerX,centerY);
//Draw_center();
function Draw_nodal(radius, points, step, rotate, colour) { //catalogued
var angle = 360 / points * step
ctx.beginPath();
var start_angle = angle;
var done = false;
var total_moves = 1;
ctx.moveTo(centerX + (Math.cos(rad(angle + rotate)) * radius), centerY + (Math.sin(rad(angle + rotate)) * radius));
while (done != true) {
if ((total_moves * step) % points != 0) {
total_moves++
}
else {
total_moves++
done = true
}
}
for (let z = 1; z <= total_moves; z++) {
ctx.lineTo(centerX + (Math.cos(rad(angle * z + rotate)) * radius), centerY + (Math.sin(rad(angle * z + rotate)) * radius));
}
ctx.strokeStyle = colour;
ctx.stroke();
}
function Draw_rectangle_pattern1(angle, size, colour) { //catalogued
ctx.save();
ctx.translate(centerX, centerY)//-(Math.sin(rad(angle)) *centerX));
ctx.rotate(rad(angle + 180));
ctx.beginPath();
ctx.strokeStyle = colour;
ctx.rect(-size, -size, size, size);
ctx.stroke();
ctx.restore();
}
function Draw_center() {
ctx.beginPath();
ctx.moveTo(centerX - 100, centerY);
ctx.lineTo(centerX + 100, centerY);
ctx.moveTo(centerX, centerY - 100);
ctx.lineTo(centerX, centerY + 100);
ctx.strokeStyle = "red";
ctx.stroke();
}
</script>
</body>
</html>