Aperiodic tilings | Discrete geometry
In geometry, pinwheel tilings are non-periodic tilings defined by Charles Radin and based on a construction due to John Conway.They are the first known non-periodic tilings to each have the property that their tiles appear in infinitely many orientations. (Wikipedia).
(5,3,2) triangle tiling: http://shpws.me/NW2E (7,3,2) triangle tiling (small): http://shpws.me/NW3A (6,3,2) triangle tiling: http://shpws.me/NW3H (4,3,2) triangle tiling: http://shpws.me/NW3K (3,3,2) triangle tiling: http://shpws.me/NW3J (4,4,2) triangle tiling: http://shpws.me/NW3M
From playlist 3D printing
O. Paris-Romaskevich - Triangle tiling billiards
Tiling billiards is a dynamical system in which a billiard ball moves through the tiles of some fixed tiling in a way that its trajectory is a broken line, with breaks admitted only at the boundaries of the tiles. One can think about this system as a movement of the refracted light. In thi
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Cindy Lawrence - Play Truchet: Truchet Tiling to Engage the Public with Mathematics - G4G13 Apr 2018
In 1704, Sébastien Truchet considered all possible patterns formed by tilings of a square tile split along the diagonal into two triangles. This original tiling was modified to create a single tile consisting of two circular arcs centered at opposite corners of a square, resulting in an ae
From playlist G4G13 Videos
Burkard Polster - Animating Conway - CoM Oct 2021
The plan is to show you very pretty animated proofs of two or three of John Conway’s ingenious theorems. The proof of the Conway Circle result discussed from 13:13 to 21:30 is by Paul Farrell of Technological University Dublin, see his YouTube video at Math Moves: https://www.youtube.com
From playlist Celebration of Mind 2021
There is more than one way to tile the plane. In this video we'll explore hexagonal tiling. Hexagonal tiling can be used to make many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode PayPal Donation
From playlist Tools
Craig Kaplan - Parquet Deformations: the tiles, they are a-changin - CoM Apr 2021
A Parquet Deformation is a tessellation that evolves gradually in space, a kind of animation expressed in a single drawing. William Huff developed Parquet Deformations and used them as an exercise for architecture and design students for decades. For a computer scientist, they also represe
From playlist Celebration of Mind 2021
RustConf 2019 - Flatulence, Crystals, and Happy Little Accidents by Nick Fitzgerald
RustConf 2019 - Flatulence, Crystlas, and Happy Little Accidents by Nick Fitzgerald Sometimes programming Rust can feel like serious business. Let's reject the absurdity of the real world and slip into solipsism with generative art. How does Rust hold up as a paint brush? And what can we
From playlist RustConf 2019
MAKING AN INTERACTIVE PENROSE TILING | Math in Dreams (PS4) | ND
The Penrose Tiling has always been a mathematical tiling that I have struggled to wrap my brain around, but I realized I might be able to build the Penrose Tiling in Dreams (PS4) instead of attempting to draw it by hand. With a bit of tinkering and after realizing building it by hand was g
From playlist The New CHALKboard
WHAT IS THE DEFINITION OF A MATHEMATICAL TILING: introducing the basics of math tiling | Nathan D.
I go through the basics behind the question, "what is the definition of a mathematical tiling". While introducing the basics of math tiling objects, we introduce the definitions of a partition, topological disc, and a prototile. By introducing these ideas and definitions, we are able to an
From playlist The New CHALKboard
60 years of dynamics and number expansions - 10 December 2018
http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Ann Schwartz - Down the Rabbit Hole with Flexagons - CoM Oct 2020
Flexagons have been around for decades—but beware! There are many more flexagons than the ones folded by Arthur Stone back in 1939. And once you start exploring and folding up new ones there’s no turning back. I should know. Here I’ll tell the story of how the first hexaflexagon was discov
From playlist Celebration of Mind
Carolyn Yackel - Enough Lace Patterns for Fibonacci - G4G13 Apr 2018
A combinatorial theorem on counting certain palindronic partitions with implications for some lace knitting patterns.
From playlist G4G13 Videos
Louise Mabbs - Re-Visioning Maths - CoM May 2022
In my experience, many people, especially women are scared of maths or were poorly taught, I love the way it underpins everything in the world and part of my mission is to make maths accessible to people through visual means. The presentation will cover the development of my Mathematical
From playlist Celebration of Mind
Virtual Star Party - May 27, 2012
From playlist Virtual Star Party
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
Spring toggle mechanism enables to reach end positions of a lever quickly and holds it there firmly. The pink double crank represents action from outside.
From playlist Mechanisms
How Is Everything Interconnected?
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Try The Great Courses Plus at: http://ow.ly/zIpD30aclsSa. CORRECTION: The Great Courses Plus is offering a 30 day free trial to PBS Idea Channel viewers. We got merch
From playlist Newest Episodes
Kaapi with Kuriosity: Tilings (ONLINE) by Mahuya Datta
Kaapi with Kuriosity Tilings (ONLINE) Speaker: Mahuya Datta (Indian Statistical Institute, Kolkata) When: 4:00 pm to 5:30 pm Sunday, 27 March 2022 Where: Zoom meeting and Livestream on ICTS YouTube channel Abstract: Tiling is a way of arranging plane shapes so that they completely co
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
