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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Volney <volney@invalid.invalid> Newsgroups: sci.math Subject: Re: Rotation Bifurcation... Date: Sat, 30 Mar 2024 12:18:01 -0400 Organization: A noiseless patient Spider Lines: 29 Message-ID: <uu9dvq$13amk$2@dont-email.me> References: <uu7m3v$jh52$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 30 Mar 2024 16:18:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="6a4e17a5371ed9f235886225d5e13a27"; logging-data="1157844"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19xTZx/38IG6T54+LGeeq3p" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:vJOGKrdxpo5OvDdOEmD4wxKDdmE= In-Reply-To: <uu7m3v$jh52$1@dont-email.me> Content-Language: en-US Bytes: 1757 On 3/29/2024 8:24 PM, Chris M. Thomasson wrote: > A strange bifurcation algorithm from an older iterated function system > of mine: > > https://youtu.be/XKhS_nklCkE > > My pseudo code is in the description: > > ______________ > // px_mutation interpolates from -4...4 across each frame; 1440 here. > > render frames: > _________ > // angle interpolates from 0...pi2 across iterations > // px = py = 0 > > // Iteration: > px = sin(angle * px_mutation); > py = cos(angle * py); > ______________ > > Anybody should be able to reproduce it on their end. Right? > > It's all 2d, but has a 3d vibe! Nice. > > Any thoughts? It looks like a fractal version of an optical illusion of whether a cylinder (with the fractal on it) is rotating in one direction or the other.