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The current implementation has a potential issue in the calculation. Specifically, the line `const z_abs_im_neg = -Math.abs(zy);` seems to be off. I'm focusing on validating this part, double-checking the intended complex arithmetic operations. This is crucial for correctly rendering the fractal.\n\n\n**Refining the Iteration Logic**\n\nI'm now focusing on directly translating the new formula into code. The core issue lies in the order of operations concerning the complex number's power and the absolute value. I need to ensure the power function operates first, followed by the absolute value calculations on the resulting complex number's real and imaginary components. The goal is to accurately represent the expression `|Re(z²)| + i·|Im(z²)| + c` within the iteration process.\n\n\n**Finalizing the Buffalo Logic**\n\nI've revised the iteration logic based on the correct formula, focusing on the order of operations: complex power, then absolute values. The key difference is now the complex power is applied *before* the absolute value. I've refactored the code to reflect this, directly implementing `|Re(z²)| + i·|Im(z²)| + c`. The updated method should now accurately compute the Buffalo fractal.\n\n\n**Finalizing the Buffalo Logic**\n\nAfter revising the iteration logic and incorporating the new Buffalo formula, I've verified the code's accuracy. Now, the complex power precedes the absolute values of the real and imaginary parts, accurately reflecting the expression `|Re(z²)| + i·|Im(z²)| + c`. I've also updated the formula display in `index.html` and `main.js` to reflect the change.\n\n\n**Revising the Buffalo Logic**\n\nI'm now fully immersed in implementing the revised Buffalo formula, prioritizing complex power calculation before absolute value extraction. The primary focus is updating the `calculateBuffaloIterations` function. It's critical to ensure the `complexPower` operation occurs before applying absolute values to real and imaginary components. Also, I'm verifying the necessary changes to the formula display within both `index.html` and `main.js`.\n\n\n**Updating the Buffalo Fractal**\n\nI'm now fully immersed in implementing the revised Buffalo formula, which is now `|Re(z²)| + i·|Im(z²)| + c`. This shift required changes to the `calculateBuffaloIterations` function, prioritizing complex power calculation before absolute value extraction. I have updated the code to ensure the `complexPower` operation occurs prior to applying the absolute values to the real and imaginary components. Additionally, I'm verifying the formula display within `index.html` and `main.js`.\n\n\n**Adapting the Calculation Method**\n\nI've revised the Buffalo fractal's `calculateBuffaloIterations` function, prioritizing complex power and absolute value calculations. The formula is now `Z_n+1 = (|Re(Z_n^P)| + i|Im(Z_n^P)|) + C`, which is directly translated into code. This approach required updating the formula display in `index.html`. Also, I've adjusted the description for `buffalo_thumb.png` to fit the new formula.\n\n\n\n\n```index.html\n```\n```main.js\n```\n```buffalo_thumb.png\n```","project",{"_61":114,"_62":116,"_66":117,"_118":119,"_86":120,"_121":122,"_57":123,"_124":125,"_126":127,"_128":-5,"_64":-5,"_129":-5,"_111":-5,"_130":84,"_131":132,"_138":54,"_139":-5,"_140":141,"_142":54,"_143":-5,"_144":145,"_146":-5,"_147":-5},"w632_9mpk3738s1grfyy","2025-06-22T01:56:33.293446+00:00","updated_at","2025-06-22T14:00:37.385+00:00","MandelBrowser","visibility","public","mandelbrot-browser-2","created_by",{"_61":22,"_62":98,"_66":99,"_100":101,"_102":-5,"_103":-5,"_104":105,"_106":54},"current_version",38,"last_posted_version","parent_version","posted","stats",{"_133":134,"_135":75,"_136":137},"views",90,"likes","comments",0,"auto_set_current","description","comments_mode","open","enable_chat","from_template","domains",[],"thumbnail","video","project_revision",{"_61":148,"_62":150,"_74":127,"_66":151,"_152":-5,"_64":-5,"_153":154,"_155":116,"_124":156,"_157":158,"_160":116,"_118":161,"_111":-5,"_131":162,"_164":54,"_165":63,"_166":-5,"_167":-5,"_168":169},"019797f0-12fe-76b4-ae42-5d63b7427021","2025-06-22T13:59:42.59+00:00","visited_at","parent_revision_version",37,"parent_revision_project_id",{"_61":22,"_62":98,"_66":99,"_100":101,"_102":-5,"_103":-5,"_104":105,"_106":54},"meta",{"_74":159},"1","project_id","2025-06-22T14:00:38.521+00:00",{"_163":137},"multiplayer_count","draft","site_id","chat_session_id","chat_session_run_index","current_screenshot_url","https://project-screenshots.websim.com/019797f0-c15f-75a6-9eb6-f886ae6f6fa0","cursor","eyJpZCI6IjAxOTc5N2YwLTEyZmUtNzZiNC1hZTQyLTVkNjNiNzQyNzAyMSJ9","token","included",[],"routes/browser/layout","actionData","errors"]