{"id":3107,"date":"2025-11-02T06:29:42","date_gmt":"2025-11-02T05:29:42","guid":{"rendered":"https:\/\/codeflarelimited.com\/blog\/?p=3107"},"modified":"2025-11-02T06:29:44","modified_gmt":"2025-11-02T05:29:44","slug":"create-fractals-in-javascript","status":"publish","type":"post","link":"https:\/\/codeflarelimited.com\/blog\/create-fractals-in-javascript\/","title":{"rendered":"CreatE\u00a0Fractals\u00a0in JavaScript"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">What Are Fractals?<\/h2>\n\n\n\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Fractal\">Fractals<\/a> are\u00a0<strong>self-similar patterns<\/strong>\u00a0\u2014 meaning if you zoom in on a fractal, you will keep seeing similar shapes repeating infinitely.<\/p>\n\n\n\n<p><a href=\"https:\/\/codeflarelimited.com\/training-catalogue\">Start learning how to code<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Key Characteristics of Fractals<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Self-similarity:<\/strong>\u00a0Smaller parts look like the whole<\/li>\n\n\n\n<li><strong>Infinite complexity:<\/strong>\u00a0The more you zoom in, the more detail you see<\/li>\n\n\n\n<li><strong>Created using recursion:<\/strong>\u00a0Repeating a process over and over<\/li>\n\n\n\n<li><strong>Often found in nature:<\/strong>\u00a0Trees, snowflakes, coastlines, lightning, clouds<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Examples in Nature<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tree branches splitting into smaller branches<\/li>\n\n\n\n<li>Romanesco broccoli spirals<\/li>\n\n\n\n<li>Snowflakes<\/li>\n\n\n\n<li>River networks<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Creating Fractals in JavaScript<\/h2>\n\n\n\n<p>To create fractals, we use\u00a0<strong>recursion<\/strong>\u00a0and a drawing tool \u2014 usually\u00a0<strong>HTML Canvas<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Steps to Build a Fractal in JavaScript<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Create an HTML\u00a0<code>&lt;canvas><\/code><\/li>\n\n\n\n<li>Access the canvas drawing context in JS<\/li>\n\n\n\n<li>Write a recursive function<\/li>\n\n\n\n<li>Draw smaller shapes on each recursive call<\/li>\n\n\n\n<li>Stop recursion at a depth limit<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Example: Fractal Tree Using Canvas<\/h3>\n\n\n\n<p>\u2705 HTML<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"markup\" class=\"language-markup\">&lt;canvas id=\"canvas\" width=\"600\" height=\"500\">&lt;\/canvas><\/code><\/pre>\n\n\n\n<p>\u2705 JavaScript<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"javascript\" class=\"language-javascript\">const canvas = document.getElementById(\"canvas\");\nconst ctx = canvas.getContext(\"2d\");\n\nfunction drawTree(x, y, length, angle, branchWidth) {\n  ctx.lineWidth = branchWidth;\n  ctx.beginPath();\n  ctx.moveTo(x, y);\n\n  const x2 = x + length * Math.cos(angle);\n  const y2 = y + length * Math.sin(angle);\n\n  ctx.lineTo(x2, y2);\n  ctx.stroke();\n\n  if (length &lt; 10) return; \/\/ stop recursion\n\n  \/\/ branches\n  drawTree(x2, y2, length * 0.75, angle + 0.5, branchWidth * 0.7);\n  drawTree(x2, y2, length * 0.75, angle - 0.5, branchWidth * 0.7);\n}\n\n\/\/ draw\nctx.strokeStyle = \"brown\";\ndrawTree(300, 500, 100, -Math.PI \/ 2, 10);\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Result:<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"908\" src=\"https:\/\/codeflarelimited.com\/blog\/wp-content\/uploads\/2025\/11\/Screenshot-2025-11-02-at-6.12.50-AM-1024x908.png\" alt=\"Create fractals in JavaScript Codeflare\" class=\"wp-image-3108\" srcset=\"https:\/\/codeflarelimited.com\/blog\/wp-content\/uploads\/2025\/11\/Screenshot-2025-11-02-at-6.12.50-AM-1024x908.png 1024w, https:\/\/codeflarelimited.com\/blog\/wp-content\/uploads\/2025\/11\/Screenshot-2025-11-02-at-6.12.50-AM-300x266.png 300w, https:\/\/codeflarelimited.com\/blog\/wp-content\/uploads\/2025\/11\/Screenshot-2025-11-02-at-6.12.50-AM-768x681.png 768w, https:\/\/codeflarelimited.com\/blog\/wp-content\/uploads\/2025\/11\/Screenshot-2025-11-02-at-6.12.50-AM.png 1188w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Other Fractals You Can Build \ud83c\udf00<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Fractal<\/th><th>Technique<\/th><\/tr><\/thead><tbody><tr><td>Mandelbrot set<\/td><td>Complex numbers + iteration<\/td><\/tr><tr><td>Koch snowflake<\/td><td>Triangles + recursion<\/td><\/tr><tr><td>Sierpinski triangle<\/td><td>Triangles subdividing<\/td><\/tr><tr><td>Fractal clouds<\/td><td>Noise algorithms<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Tips for Building Your Own<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use\u00a0<strong>recursion<\/strong><\/li>\n\n\n\n<li>Add\u00a0<strong>randomness<\/strong>\u00a0for natural effects<\/li>\n\n\n\n<li>Control complexity with\u00a0<strong>depth limits<\/strong><\/li>\n\n\n\n<li>Experiment with\u00a0<strong>angles, colors, and shrink ratios<\/strong><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Final Thought<\/h2>\n\n\n\n<p>Fractals are not just math \u2014 they&#8217;re art, nature, and computer graphics blended together. With JavaScript and a little recursion, you can generate infinite beauty from simple rules.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What Are Fractals? Fractals are\u00a0self-similar patterns\u00a0\u2014 meaning if you zoom in on a fractal, you will keep seeing<\/p>\n","protected":false},"author":1,"featured_media":3109,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98],"tags":[],"class_list":["post-3107","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-softare-development"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>CreatE\u00a0Fractals\u00a0in JavaScript<\/title>\n<meta name=\"description\" content=\"Fractals are\u00a0self-similar patterns\u00a0\u2014 meaning if you zoom in on a fractal, you will keep seeing similar shapes repeating infinitely\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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