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Title	Ulam Space
ID	5578686257217536
Created	1 years ago, 1692018520535
Updated	1 years ago, 1692032144206
Code	/******* * ================================================================== * Ulam Space * ================================================================== * Started: 08/10/2023 * Finished: 08/12/2023 * Released: 08/14/2023 * Total time: 2 hours * ================================================================== * This is like my other graphic Prime Space, but the prime numbers * aren't being rotated by their magnitude in radians (making a polar * spiral) and instead they're simply being rotated by pi/2 radians * (or 90 degrees), so they make an Ulam spiral, named after Polish * mathematician Stanisław Ulam. * ================================================================== * This is the sixth installment in my "Space" series of programs. * Check out the last five here! ----> { * * Fractal Space: https://www.khanacademy.org/cs/z/5801176655675392 * * Prime Space: https://www.khanacademy.org/cs/z/5438551371071488 * * Parallax Space: https://www.khanacademy.org/cs/z/5763159425073152 * * Lorenz Space: https://www.khanacademy.org/cs/z/5396217931546624 * * Fluid Space: https://www.khanacademy.org/cs/z/4940472372740096 * * } * ================================================================== ******/ // The code { // Setup { enableContextMenu(); imageData.data = []; var JuliaSetFractal = function(r, i) { loadPixels(); var pixels = imageData.data; for(var x = 0; x < width; x++) { for(var y = 0; y < height; y++) { var a = map(x, 0, width, -2, 2), b = map(y, 0, height, -2, 2); var n = -48; var mi = 128; var ca = r, cb = i; while(n < mi) { var aa = a a - b * b; var bb = 2 * a * b; a = aa + ca; b = bb + cb; if (aa + bb > 4) { break; } n++; } var sat = map(n, 0, mi, 0, 1); sat = map(sqrt(sat), 0, 1, 0, 255); if(n === mi) { sat = 30; } var pix = (x + y * width) * 4; pixels[pix + 0] = sat; pixels[pix + 1] = sat; pixels[pix + 2] = sat; pixels[pix + 3] = 255; } } updatePixels(); }; var fimg; var Fractal = (function() { JuliaSetFractal(0.3825, -0.2); fimg = get(170, 125, 265, 350); })(); var logostroke = 2.5; var cornerlogo = function() { pushStyle(); noFill(); logostroke += 5; stroke(0); strokeWeight(logostroke); ellipse(30, 570, 50, 50); logostroke -= 5; stroke(255); strokeWeight(logostroke); ellipse(30, 570, 60, 60); fill(0); stroke(255); strokeWeight(logostroke); ellipse(30, 570, 50, 50); image(fimg, 16, 552.5, 27.5, 34.375); fill(255); textSize(7); textAlign(TOP, LEFT); textFont(createFont("monospace")); text("Z U S H A H", 8, 572.5); popStyle(); }; mouseClicked = function() { if(dist(mouseX, mouseY, 30, 570) <= 30) { println("Subscribe here:\nhttps://www.khanacademy.org/cs/z/6183418307231744\n\nMore programs:\nhttps://www.khanacademy.org/profile/zushah77/projects"); } }; var clr = [ color(255), color(232, 111, 111), color(230, 160, 89), color(230, 206, 120), color(255), color(118, 182, 222), color(113, 121, 227), color(129, 227, 225), color(255) ]; Number.prototype.primecheck = function() { for(var i = 2, n = Math.sqrt(this); i <= n; i++) { if(this % i === 0) { return false; } } return this > 1; }; var x = 300; var y = 300; var theta = 0; var s = 1; var step = 1; var n = 41; var stars = []; for(var i = 0; i < 300; i++) { while(step < s) { if(n.primecheck()) { stars.push([x, y, clr[Math.round(Math.random() * clr.length)]]); } n++; step++; x += 4 * Math.cos(theta); y -= 4 * Math.sin(theta); } theta += Math.PI / 2; if(i % 2 === 0) { s++; } step = 0; } //} // Draw { background(0); strokeWeight(4); for(var i = 0; i < stars.length; i++) { stroke(stars[i][2]); point(stars[i][0], stars[i][1]); } cornerlogo(); //} //}
Folds	16,33,37,171
Fork	false
Key	ag5zfmtoYW4tYWNhZGVteXIXCxIKU2NyYXRjaHBhZBiAgLPlkbn0CQw
Votes	21
Spin-Offs	0
Type	PJS
Width	600
Height	600
User Flagged	false
Origin Scratchpad	null
Hidden From Hotlist	false
Restricted Posting	false
By Child	false
Author Nick	Zushah
Author Name	zushah77
Author ID	kaid_283963410088246895625872
Author Profile Access	PUBLIC

Archive Data

Added	4 days ago, 1744684541536
Updated	4 days ago, 1744685929055
Source Deleted	unknown