A Socolar tiling is an example of an aperiodic tiling, developed in 1989 by Joshua Socolar in the exploration of quasicrystals. There are 3 tiles a 30° rhombus, square, and regular hexagon. The 12-fold symmmetry set exist similar to the 10-fold Penrose rhombic tilings, and 8-fold Ammann–Beenker tilings. The 12-fold tiles easily tile periodically, so special rules are defined to limit their connections and force nonperiodic tilings. Each tile disallowed from touching another of itself, while the hexagon can connect to both and itself, but only in alternate edges. (Wikipedia).
6D minecraft? - Aperiodic Voxel Game devlog#1
The intro music is aperiodic too, played by me on a broken cello. The rest of the background music was a public domain recording of Beethoven Sonata no. 1, played by Daniel Veesey. Development for this game started in Processing, but I felt I was writing many lines of Java code for things
From playlist Summer of Math Exposition Youtube Videos
What's a Polygon? Geometry Terms and Definitions
Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www
From playlist Socratica: The Geometry Glossary Series
What's an Octagon? Geometry Terms and Definitions
An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre
From playlist Socratica: The Geometry Glossary Series
What's a Trapezoid? Geometry Terms and Definitions
Learn the definition of a trapezoid, and see a preview of how to compute its area. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreo
From playlist Socratica: The Geometry Glossary Series
What are Quadrilaterals? Geometry Terms and Definitions
Learn the definition of a quadrilateral and how it gets its name. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.p
From playlist Socratica: The Geometry Glossary Series
What's a plane? Geometry Terms and Definitions
Points, lines and planes are some of the fundamental objects in Euclidean geometry. Learn about the plane and its essential properties. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦
From playlist Socratica: The Geometry Glossary Series
What are obtuse angles? Geometry Terms and Definitions
Obtuse angles are neither smarter nor dumber than acute angles, so don't let the name fool you. But they are important. You would be wise to know all about them in case you meet one while hiking in the woods... Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harriso
From playlist Socratica: The Geometry Glossary Series
What's a Hexagon? Geometry Terms and Definitions
Some polygons have 6 sides. Some animals have 6 legs. Coincidence?? Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://w
From playlist Socratica: The Geometry Glossary Series
What's a straightedge? Geometry Terms and Definitions
An introduction to a very important geometric tool - the straightedge. It's not the same as a ruler! Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel:
From playlist Socratica: The Geometry Glossary Series
Introduction to Polygons - Geometry
Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. Geometer: Louise McCartney Artwork: Kelly Vivanco Written by Michael Ha
From playlist Geometry lessons
In this mini-lecture, we explore tilings found in everyday life and give the mathematical definition of a tiling. In particular, we think about: (i) traditional Islamic tilings; (ii) floor, wallpaper, pavement, and architectural tilings; (iii) the three regular tilings using either equilat
From playlist Maths
Nathalie Priebe Frank : Introduction to hierarchical tiling dynamical systems
Abstract: These lectures introduce the dynamical systems approach to tilings of Euclidean space, especially quasicrystalline tilings that have been constructed using a 'supertile method'. Because tiling dynamics parallels one-dimensional symbolic dynamics, we discuss this case as well, hig
From playlist Dynamical Systems and Ordinary Differential Equations
Wolfram Physics Project: Working Session Tuesday, Aug. 3, 2021 [Tilings]
This is a Wolfram Physics Project working session about tiling in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-ann
From playlist Wolfram Physics Project Livestream Archive
The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?
I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m
From playlist Recent videos
2048 FROM SCRATCH, PART 2! - CS50 Live, EP. 61
Join CS50's Colton Ogden for a second part of implementing the famous web game, 2048, from scratch in LÖVE and Lua. In this episode, we'll look at refactoring our existing code, as well as getting number merging and coloring working properly, with eventually a score and loss condition bein
From playlist CS50 on Twitch
Coding Challenge 171: Wave Function Collapse
Straight out of quantum mechanics, Wave Function Collapse is an algorithm for procedural generation of images. https://thecodingtrain.com/challenges/171-wave-function-collapse In this video (recorded over 3 live streams) I attempt the tiled model and explore a variety of solutions to the
From playlist Coding Challenges
Unity Tutorial | How To Create A City Builder Game In Unity | Session 09 | #unity | #gamedev
Don’t forget to subscribe! In this Unity tutorial, you will learn to create a city builder game in Unity. City Builder games are one of the most popular games in the mobile market, so it is definitely an important Unity game to have in your portfolio. In this tutorial, we’ll be creating
From playlist Create A City Builder Game In Unity
Tiling problems [2/2] | Dynamic Programming
A generalization of how to solve tiling problems using dynamic programming Previous video: https://youtu.be/gQszF5qdZ-0 Tiling problems: https://projecteuler.net/problem=114 https://projecteuler.net/problem=115 https://projecteuler.net/problem=116 https://projecteuler.net/problem=117 Al
From playlist Dynamic Programming
2048 FROM SCRATCH! CS50 Live, EP 60
From playlist CS50 on Twitch
What are scalene triangles? Geometry Terms and Definitions
Triangles can have many different names. Learn what you call a triangle where all three sides are different lengths. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to suppo
From playlist Socratica: The Geometry Glossary Series