Fractals | Cubes | Curves | Topological spaces | Iterated function system fractals
In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension. (Wikipedia).
Coding Challenge #2: Menger Sponge Fractal
In this coding challenge, I attempt to code the Menger Sponge (fractals) using Processing. Code: https://thecodingtrain.com/challenges/2-menger-sponge 🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/5kcBUriAy 🎥 Previous video: https://youtu.be/17WoOqgXsRM?list=PL
From playlist Coding Challenges
Live Stream #31: Shape Morphing and Menger Sponge in Processing
Live from sfpc.io! In this video, using Processing, I take on two chat submitted challenges: Shape morphing and the Menger sponge (fractals). 15:07 - Challenge #1: Shape Morphing 44:30 - Preparation for the 2nd challenge 53:14 - Challenge #2: Menger Sponge 1:17:40 - Picking up after tec
From playlist Live Stream Archive
Q. What sort of tunnel do you get when you mix a Menger Sponge with a BoxBulb? A. A Brainmelt tunnel. Fractal rendered in Mandelbulber Composited in HitFilm #Fractal #Maths #Art
From playlist Nerdy Rodent Uploads!
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From playlist Amazing Stuff
It's finally time to start diving into individual animal phyla! First up is Porifera. This includes all the sponges. These are funky looking organisms, almost none of which exhibit any kind of symmetry, nor do they possess any tissues or organs. What are they all about? How to they feed? H
From playlist Zoology
Menger's tunnel recipe: Take a Menger 4D Cube (or 3D, if you prefer). Duplicate it. Rotate yourself 90 degrees. Mix your cube with a Benesi - Mag transform and a T-DIFS Box. Rotate at your leisure. (Also, I'm, playing with my new LUTs. Yeah, I know, right? Colours are ACE!) Anyway, what
From playlist Nerdy Rodent Uploads!
You make me iterate Yes, its Fractal time one again. After watching this video you should be able to answer these 3 simple questions: Which shape did you like the most? How many triangles did you see? Would you wash with a Menger Sponge? Rendered in Mandelbulber 2.19 beta Composited in
From playlist Nerdy Rodent Uploads!
GCSE Maths: Volume of 3D Shapes Livestream
The third of six livestreams happening every Friday at 4pm (GMT +1) discussing the topics of the Tom Rocks Maths Appeal GCSE Maths series. The topic this week is the Volume of 3D shapes (Cubes, Cuboids, Prisms and Cylinders) - full list of questions discussed (with timestamps) below. How
From playlist Tom Rocks GCSE Maths Appeal
Recognising Fractals from a reasonable distance - Linear Distance Estimation Edition!
Welcome to the second part of the series on recognising fractals from a reasonable distance! This is the Linear Distance Estimation Edition, featuring the following fractals: Amazing box - Mod 2 Abox - Mod Kali-V3 Abox - SurfBox Generalized Fold Box - Octahedron Generalized Fold Box - Oc
From playlist Nerdy Rodent Uploads!
Mandelbulbs: the search for a 3D Mandelbrot Fractal
Follow Tom on his journey to Delft in the Netherlands in his quest to find a 3D Mandelbrot Set, otherwise known as a 'Mandelbulb'. We begin with a discussion of the definition of a fractal, with examples from the natural world, as well as generating our very own in the form of the Koch Sn
From playlist Director's Cut
The Beauty of Fractal Geometry (#SoME2)
0:00 — Sierpiński carpet 0:18 — Pythagoras tree 0:37 — Pythagoras tree 2 0:50 — Unnamed fractal circles 1:12 — Dragon Curve 1:30 — Barnsley fern 1:44 — Question for you! 2:05 — Koch snowflake 2:26 — Sierpiński triangle 2:47 — Cantor set 3:03 — Hilbert curve 3:22 — Unnamed fractal squares 3
From playlist Summer of Math Exposition 2 videos
Heat equation in a Menger-Sierpinski carpet
The heat equation is easier to solve numerically than the wave or Schrödinger equation, because it includes a damping effect that makes it less sensitive to round-off errors. For simple geometries, however, it results in rather dull visuals, as the heat just tends to spread evenly. This ca
From playlist Heat equation
What Is A Fractal (and what are they good for)?
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature. Learn more about all the stuff that MIT is doing and researching with fr
From playlist Science Out Loud
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From playlist Amazing Stuff
Can Yule solve my problems - Alex Bellos
Oxford Mathematics Christmas Lecture: Can Yule solve my problems - Alex Bellos In our Oxford Mathematics Christmas Lecture Alex Bellos challenges you with some festive brainteasers as he tells the story of mathematical puzzles from the middle ages to modern day. Alex is the Guardian’s pu
From playlist Oxford Mathematics Public Lectures
