Mandelbrot Madness

{"name":"Mandelbrot Madness","description":"Dive into the mesmerizing world of fractals with Mandelbrot Madness! Explore the intricacies of the Mandelbrot set as you zoom in and out, revealing stunning patterns and endless complexity. With captivating visuals and interactive controls, this project is perfect for anyone looking to blend art and programming while learning about the magic of mathematics.","photo":"","view_count":1,"fork_count":0,"expires_at":null,"created_at":"2025-01-27T17:05:10.385111Z","updated_at":"2025-01-27T17:05:10.385112Z","user_id":107,"status":"PRIVATE","parent_id":5557,"id":5599,"user":{"photo":null,"email":null,"recess_id":"03ed0349-b7d5-4ef6-bf3c-f814dd7833c4","created_at":"2024-05-30T19:05:05.821709Z","reset_token":null,"stripe_customer_id":null,"seats":null,"username":"glah_10000","id":107,"password_hash":null,"updated_at":"2024-05-30T19:05:05.821712Z","reset_token_expiry":null,"subscription_status":null},"code":{"script.js":"let complexBounds = 4;\nlet resolution = 300;\nlet iterations = 50;\n\nlet zr;\nlet zi;\n\nlet cr;\nlet ci;\n\nlet tempzi;\nlet tempzr;\n\nlet n;\n\nlet value = 1;\n\nfunction setup() {\n createCanvas(complexBounds * resolution, complexBounds * resolution);\n}\n\nfunction draw() {\n background(0); \n loadPixels();\n \n for(let yIter = 0; yIter < height; yIter++)\n {\n for(let xIter = 0; xIter < width; xIter++)\n {\n cr = map(xIter, 0, complexBounds * resolution, -complexBounds / 2, complexBounds / 2);\n ci = map(yIter, 0, complexBounds * resolution, -complexBounds / 2, complexBounds / 2);\n \n zr = 0;\n zi = 0;\n\n n = 0;\n\n for(n = 0; n < iterations; n++)\n {\n tempzr = zr * zr - zi * zi; \n tempzi = 2 * zr * zi;\n\n zr = tempzr + cr;\n zi = tempzi + ci;\n\n if(zr * zr + zi * zi > 4)\n {\n break;\n }\n }\n\n pixels[(xIter + yIter * width) * 4] = 200 / abs(zr * zr + zi * zi);\n pixels[(xIter + yIter * width) * 4 + 1] = 255 / iterations * n;\n pixels[(xIter + yIter * width) * 4 + 2] = 200 / abs(zr * zr + zi * zi);\n pixels[(xIter + yIter * width) * 4 + 3] = 255;\n }\n \n }\n updatePixels();\n}","style.css":"body { margin: 0; } canvas { display: block; }","index.html":"\n\n\n \n \n Mandelbrot Madness\n \n \n\n\n \n\n"},"chat_history":[{"deleted":0,"code_id":204600,"input_tokens":null,"id":104603,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-23T21:03:51.084598Z","output_tokens":null},{"deleted":0,"code_id":205094,"input_tokens":null,"id":104961,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T02:05:45.279228Z","output_tokens":null},{"deleted":0,"code_id":205134,"input_tokens":null,"id":104962,"project_id":5599,"sender":"client_script","message":"Let's get started!\n Errors:\n","created_at":"2025-01-27T02:34:57.419879Z","output_tokens":null},{"deleted":0,"code_id":205134,"input_tokens":2761,"id":104963,"project_id":5599,"sender":"ai","message":"Great! Could you tell me more about your project idea? What kind of project are you working on, and what would you like to add or change next?","created_at":"2025-01-27T02:34:57.426511Z","output_tokens":35},{"deleted":0,"code_id":205134,"input_tokens":null,"id":104964,"project_id":5599,"sender":"human","message":"I have some code that I made already to try and draw a mandlebrot set but I'm having trouble and I don't know why its not creating a mandlebrot set on the screen. Could you help me figure out what the problem is?","created_at":"2025-01-27T02:36:46.181487Z","output_tokens":null},{"deleted":0,"code_id":205134,"input_tokens":2809,"id":104965,"project_id":5599,"sender":"ai","message":"Certainly! Let's take a look at your code and see if we can identify the issue with rendering the Mandelbrot set.\n\n

\n# Reasoning\nThe student's code attempts to draw a Mandelbrot set with nested loops and pixel manipulation, but there seem to be logical errors in the iteration and mapping of complex numbers. These need to be addressed to correctly render the Mandelbrot set.\n

\n\n

\n# Answer:\n

\n\nLet's go through your code and make some adjustments to ensure it's rendering the Mandelbrot set correctly. Here are a few things we can fix:\n\n1. Correct the mapping of the real and imaginary parts of the complex numbers.\n2. Ensure the iteration condition is correct and update the color setting in the pixels array.\n\nLet's make these changes:\n\n```javascript\nlet complexBounds = 3;\nlet resolution = 200;\nlet maxIterations = 100; // Adjust this for more detail\n\nfunction setup() {\n createCanvas(complexBounds * resolution, complexBounds * resolution);\n}\n\nfunction draw() {\n background(0);\n loadPixels();\n \n for(let yIter = 0; yIter < height; yIter++) {\n for(let xIter = 0; xIter < width; xIter++) {\n let cr = map(xIter, 0, width, -2.5, 1);\n let ci = map(yIter, 0, height, -1, 1);\n \n let zr = 0;\n let zi = 0;\n let n = 0;\n\n while (n < maxIterations) {\n let tempzr = zr * zr - zi * zi + cr;\n let tempzi = 2 * zr * zi + ci;\n\n zr = tempzr;\n zi = tempzi;\n\n if (zr * zr + zi * zi > 4) {\n break;\n }\n\n n++;\n }\n\n let bright = map(n, 0, maxIterations, 0, 255);\n if (n === maxIterations) {\n bright = 0;\n }\n \n let pix = (xIter + yIter * width) * 4;\n pixels[pix] = bright;\n pixels[pix + 1] = bright;\n pixels[pix + 2] = bright;\n pixels[pix + 3] = 255;\n }\n }\n\n updatePixels();\n}\n```\n\n- **Mapping**: The `cr` and `ci` are mapped appropriately to fit typical Mandelbrot set ranges.\n- **Iteration**: The loop runs up to `maxIterations` and checks for divergence with `zr * zr + zi * zi > 4`.\n- **Brightness**: The brightness of each pixel is mapped based on the number of iterations.\n\nTry replacing your existing `draw()` function with this one, and see if it resolves the issue!","created_at":"2025-01-27T02:36:46.268040Z","output_tokens":570},{"deleted":0,"code_id":205150,"input_tokens":null,"id":104966,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T02:44:35.708284Z","output_tokens":null},{"deleted":0,"code_id":205151,"input_tokens":null,"id":104967,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T02:45:07.522461Z","output_tokens":null},{"deleted":0,"code_id":205161,"input_tokens":null,"id":104968,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T02:52:29.716984Z","output_tokens":null},{"deleted":0,"code_id":205166,"input_tokens":null,"id":104969,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T02:55:33.492603Z","output_tokens":null},{"deleted":0,"code_id":205332,"input_tokens":null,"id":104982,"project_id":5599,"sender":"client_script","message":"","created_at":"2025-01-27T15:59:11.933957Z","output_tokens":null}],"assets":[],"messages_sent":1,"comments":[],"steps":[]}