Inside Outside [Monochrome] - Perpendicular Mandelbrot Fractal Zoom @MathsTown

Uploaded October 2019 | Updated September 2026, 2 weeks ago

This is one (well two) for the fractal nerds like me. This section of the Perpendicular Mandelbrot has a peculiar feature; the "inside" of the fractal begins forming part of the evolving shape patterns (solid black is "inside", but the shaded steps are not.). This doesn't happen in the normal Mandelbrot Set, and I was quite surprised to find this phenomenon. I rendered the whole video at a high iteration count to make sure. I've decided to release this video in two forms, monochrome and colour so you can compare. I know Stan loves his monochrome. :-) Please subscribe, it helps the channel!

Colour Version: youtube.com/watch?v=E0Vt3agEyls

Thank-you to my supporters on Patreon.

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Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
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Music from Epidemic Sound: epidemicsound.com/referral/ekoiev
Supine - Peter Sandberg
Reconcile - Peter Sandberg
Love And Friendship - Johannes Bornlöf
Two As One - Johannes Bornlöf

$Inside Outside [Monochrome] - Perpendicular Mandelbrot Fractal Zoom This is one (well two) for the fractal nerds like me. This section of the Perpendicular Mandelbrot has a peculiar feature; the inside of the fractal begins forming part of the evolving shape patterns (solid black is inside, but the shaded steps are not.). This doesnt happen in the normal Mandelbrot Set, and I was quite surprised to find this phenomenon. I rendered the whole video at a high iteration count to make sure. Ive decided to release this video in two forms, monochrome and colour so you can compare. I know Stan loves his monochrome. :-) Please subscribe, it helps the channel! Colour Version: https://www.youtube.com/watch?v=E0Vt3agEyls Thank-you to my supporters on Patreon. /******************************************************************************** Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights) Website: https://www.maths.town Twitter: https://twitter.com/MathsTown ********************************************************************************/ Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ Supine - Peter Sandberg Reconcile - Peter Sandberg Love And Friendship - Johannes Bornlöf Two As One - Johannes Bornlöf$

Metallic Dreams II - Mandelbrot Fractal Zoom (8k 60fps)

Classic 4 - 4th Power Mandelbrot Fractal Zoom

$[Reversed] The Next Dimension - Mandelbrot Fractal Zoom As demanded by the residents of Maths Town! A reversed version of The Next Dimension video. As will all deep reverses, there are bitrate issues at the start, you may like to skip the first 3min. This video is a collaboration with fractal artist Yann Lby. This video projects the 2D Mandelbrot fractal into 3D using the iteration data for the vertical axis. It is rendered with Yanns own software MMY3D. Make sure you check out his amazing collection of 3D fractal zooms. https://www.youtube.com/watch?v=UoUDq1pkpOE&list=PL4lt5Vl4_TwrO3KDhVpp3_45DRZqtVNa- Please take the time to subscribe to Yanns channel, he has some great fractal content there (and tell him I sent you). Patreon Note: This video is not available for download on Patreon, because it contains the work of another artist. Rendered in 4k, from 8k data frames (at 30fps). The final magnification of this zoom is beyond e1000. More of Yanns work: https://www.youtube.com/watch?v=UoUDq1pkpOE&list=PL4lt5Vl4_TwrO3KDhVpp3_45DRZqtVNa- /******************************************************************************** Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights) Website: https://www.maths.town Twitter: https://twitter.com/MathsTown Grab a T-Shirt: https://amzn.to/3eIfqmX ********************************************************************************/ Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ Music by: Valante$

$The Endless Ocean - Mandelbrot Fractal Zoom A huge blue double header for you this week! Two videos with the same geometry, colour palette and music, but with completely different moods. This one is really another look at the Infinite Ocean idea that was popular a few months back, however I have added colour cycling, so things are moving a little. If you dont really like this style, you will probably like the companion video Blue Dreams (released tomorrow). Please hit subscribe. The idea for this came after being trolled in the comments section by someone saying that there is no artistic merit to the videos because it is computer generated. And while I certainly dont claim to be very artistic myself, it is certainly possible to control the style and mood of the video. There are certainly some awesome fractal artists out there, particularly those making still images. So to demonstrate what is possible, I thought I would make two videos with exactly the geometry and colour palette. Anyways, please let me know in the comments what you think, and which video is more to your taste. Unlike the Infinite Ocean video, this one is rendered with my own software and Kalles Fraktaler. This means that I can go much deeper, and create the video much faster. I created a Panel effect for my plugin which gives the coloured panels you see in this video. The video is also shaded to give it a pseudo-3D feel. The angle for the lighting effect is based on the angle at which the iteration count is increasing. Such shading is cue for the brain to interpret the image as having depth. Thank-you to my supporters on Patreon. /******************************************************************************** Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights) Website: https://www.maths.town Twitter: https://twitter.com/MathsTown ********************************************************************************/ All music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ Watchman - Yi Nantiro The Dice Is Cast - Yi Nantiro One Way Ticket - Yi Nantiro Not All Roses Are Red - Yi Nantiro Nippon - Yi Nantiro The Way Of The Warrior - Yi Nantiro At Long Last - Yi Nantiro As The Curtains Fall - Yi Nantiro A Single Grain Of Rice - Yi Nantiro Immovable As The Mountain - Yi Nantiro$

$Mandelbrot World Record Attempt - Part 3 (e4000 to e6000) The deepest Mandelbrot zoom ever! This zoom is over 24-hours long, uploaded to YouTube in 11 parts. It will finish on a mini-Mandelbrot. As such, I am claiming a world record for the deepest Mandelbrot video! I have kept to the traditional colouring style for this one. Consider playing your own music while you let this one roll. Sit back, relax, and soak it in. This will be the only time I ever attempt a video this deep. Rendering around the final mini-Mandelbrot is just too computationally expensive to try again; I have other things I wish to achieve now. If you wish to claim the deepest Mandelbrot title, and would like me to acknowledge it, here are my conditions: It must finish on a mini-Mandelbrot, it must be rendered in at least 4k, it should double in depth no faster than once per second, and you should publish the coordinates. Finally, a huge thank-you to my supporters on Patreon, and my loyal subscribers who have made this channel possible! If it wasn’t for you, this content would not exist. I always turn off mid-roll ads so you dont get interrupted! You can support this practice by joining Patreon, super-thanks, or making a direct one-time donation: https://donate.stripe.com/7sI9DOaJ96wadpu9AC Here are the links for each part (the release will be spaced) Part 1: https://youtu.be/CfqHAOOM8Tw Part 2: https://youtu.be/Ac33rIHr4xI Part 3: https://youtu.be/Os2SC5PHQ8Y Part 4: https://youtu.be/DVoShta1v6o Part 5: https://youtu.be/qzHrFROrQS4 Part 6: https://youtu.be/gg9hd4Kh-tQ Part 7: https://youtu.be/1I35JnVUNk8 Part 8: https://youtu.be/wFoV2rQSIMo Part 9: https://youtu.be/h4quecQTfds Part 10: https://youtu.be/Hm9011pZw9I Part 11: https://youtu.be/6Z-qXe9-3Fs Full playlist of this zoom: https://www.youtube.com/playlist?list=PLKHNByHfHxT4Gl01oxGmuK5UGPkbUTjll This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel or commercially if you are a member of my Patreon page. https://www.patreon.com/mathstown /******************************************************************************** Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights) Direct Donations: https://donate.stripe.com/7sI9DOaJ96wadpu9AC Ko-Fi: https://ko-fi.com/mathstown (Buy me a coffee) Website: https://www.maths.town Twitter: https://twitter.com/MathsTown Discord: https://discord.gg/YphYVt787v (Drop by and say hello) ********************************************************************************/ Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ (Easily the best source of music for creators!) #Mandelbrot #fractal #mathstown #fractals$ $The Needle of the Power 2 Mandelbulb Fractal. (8k Technical Render) The Mandelbulb was an attempt to recreate the Mandelbrot Set in 3D. It was largely considered a failure at first. However, as I explore it further, and render it in higher detail, I am finding that the fractal has some quite interesting detail. The aim of this video is to show you what is actually there. So Ive called this a technical render, its not an attempt to be artistic. Please give me your thoughts in the comments. There two parts to this render: 0:00 Wide View of the Needle 1:42 Close-up View of the Needle 3D fractals are much harder to render than 2D fractals. There are a number of trade-offs to make as we cant simply assign colours to iteration counts. Most renderers for the Mandelbulb fractal rely on graphics card running at 32-bit precision. However this severely limits how close we can get. This is an attempt to render the Mandelbulb at full 64-bit double precision, which was done on a CPU. It is early days for my little software renderer, so there are a few problems, but it does expose some detail. It would not be possible to render the 2nd part of this video at 32-bit. It is significantly more zoomed in. The close-up view actually only takes you to the main mini-bulb shown in the fist video. It is significantly more zoomed, and you are seeing much less of the needle. Thank-you to my supporters on Patreon. This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel if you are a member of my Patreon page. https://www.patreon.com/mathstown If you liked this video you can buy me a coffee on Ko-Fi: https://ko-fi.com/mathstown /******************************************************************************** Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights) Direct Donation: https://donate.stripe.com/7sI9DOaJ96wadpu9AC Ko-Fi: https://ko-fi.com/mathstown (Buy me a coffee) Website: https://www.maths.town Discord: https://discord.gg/YphYVt787v (Drop by and say hello) ********************************************************************************/ Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ (Easily the best source of music for creators!) #Mandelbrot #fractal #mathstown #fractals$