The Burning Ship - A Fractal Zoom (5e598) (4k 60fps)
Maths Town
0:00 / 0:00
The Burning Ship - A Fractal Zoom (5e598) (4k 60fps)
161 363 просмотра · 8 лет назад
Maths Town
148 тыс. подписчиков
161 363 просмотра · 8 лет назад
The Burning Ship is a non-analytic cousin of the Mandelbrot. Some would say an ugly cousin, but I think it certainly has its charms. This is actually the first zoom of a different fractal type, so be sure to let me know what you think. The shapes and imagery are quite unique! Please hit subscribe! (Best viewed at high resolution)
We have gone for a kind of hypnotic Techno vibe with the music. All the tracks are taken from the album "Sounds of Berlin" (used under licence). I've had heaps of requests for this kind of music, and I thought that I better finally oblige. It does go pretty well with this fractal. There are no repeated tracks in this one, so it might be worth loading video for a relaxing Friday night with friends. Of course, if the music is not your thing, please play your own favourite album in the background, the video is long enough.
The burning ship fractal uses the formula: z=(|Re(z)| +|Im(z)|)^2 +c
Mathematically, the fractal is non-analytic, which means it doesn't have a derivative at all points. This means all bets are off. Discontinuities, sharp edges, and general disarray. Unlike the Mandelbrot, this is not a continuous unbroken shape. Although many of the properties look similar. We still spend the last 1/3 of the movie diving towards a mini-ship.
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: / mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: / mathstown
********************************************************************************/
Depth: 5e598
Re: -1.99181827178300746850379729643073442631428939879085065662860096612561268767310858894647971147944292323771333614650901867647816764526991398555233650113691463113493285053911485398748358662906979841030528324770678267995126250092150370610447992981067205321902268347576365417926210542503392810296542094425265107564509775091258429187687028938948135906588357465533374991333611700705605705867246831052454887674231519024565564931772606566344914114122919791327655960458765777461322863327704085070558709780052659920839131440858722097118200639329125496795551507023022169721041043033255288961936825855859583543453801982885801422181243822
Im: -0.00000000061550342900918102060525052997937836197385097343021630372410685931656557498714337232242277852678863301325165502209577312334996285903984253777360559438043586602172795527609800852803907135005860641595351491744340654064921619748677429820616683910222508554587259485430289375531815191257084952546069105470154885126022981667056267842700093726007828999262632792724139636264111518114743883795980352472514224331967682580446284288557652012051449231910806263361628339167465502828250488829932031798174745486098309196755479593677719424991151346894915376257453293368238849351417679707651804171083442824900524355350144636030155253