Aperiodic tilings | Pentagonal tilings

Sphinx tiling

In geometry, the sphinx tiling is a tessellation of the plane using the "sphinx", a pentagonal hexiamond formed by gluing six equilateral triangles together. The resultant shape is named for its reminiscence to the Great Sphinx at Giza. A sphinx can be dissected into any square number of copies of itself, some of them mirror images, and repeating this process leads to a non-periodic tiling of the plane. The sphinx is therefore a rep-tile (a self-replicating tessellation). It is one of few known pentagonal rep-tiles and is the only known pentagonal rep-tile whose sub-copies are equal in size. (Wikipedia).

Sphinx tiling
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Triangle tilings

(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

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Domino tilings of squares | MegaFavNumbers

This video is part of the #MegaFavNumbers project. Domino tiling is a tessellation of the region in the Euclidean plane by dominos (2x1 rectangles). In this video we consider square tilings. Sequence, where each element is equal to the number of tilings of an NxN square, is growing reall

From playlist MegaFavNumbers

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Introduction to Tiling Theory

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

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Hexagonal Tiling Explained!

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

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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

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Did An Ancient Mistake Cause The Sphinx's Temple To Be Out Of Alignment?

Unearthed | Tuesdays at 10/9c Clues reveal what the Sphinx Temple looked like more than 4,000 years ago, and its secret ties to the yearly equinoxes. Full Episodes Streaming FREE on SCI GO: https://www.sciencechannelgo.com/unearthed/ More Unearthed! http://www.sciencechannel.com/tv-shows/

From playlist Unearthed

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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)

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The Archaeology Iceberg Explained

I have returned from my four month long hiatus! I hope this 50 minute video makes up for it. Today, we will explore some of the most bizarre and obscure stories and facts related to the field of archaeology. In this video, I talk about everything from mummies to Giant Aztec Snake statues t

From playlist Anthropology Profile

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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

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Mark Setteducati - The Magic of Inventing - CoM Apr 2021

For more than 40 years, Mark Setteducati has created games, puzzles and magic tricks that he has sold to toy companies around the world. Where do his ideas come from? Watch and find out how he does it. Mark is a co-founder and past President of the Gathering for Gardner. He is a Magician

From playlist Celebration of Mind 2021

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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

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Kernel Recipes 2019 - Kernel documentation: past, present, and future

The Linux kernel project includes a huge amount of documentation, but that information has seen little in the way of care over the years. The amount of care has increased significantly recently, though, and things are improving quickly. Listen as the kernel’s documentation maintainer discu

From playlist Kernel Recipes 2019

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Ancient Aliens: A Twin Sphinx on the Giza Plateau (Season 9) | History

For Ancient Astronaut Theorists, a twin Sphinx supposedly buried deep in the sand at the Giza Plateau could be the key to reconnecting us with our alien ancestors in this clip from Season 9, Episode 2, "Mysteries of the Sphinx". #AncientAliens Subscribe for more from Ancient Aliens and oth

From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History

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Ancient Aliens: The Sphinx and the Secrets of Atlantis (Season 9) | History

American psychic and healer, Edgar Casey, prophesied that a chamber under the Sphinx holds the hall of records from the lost city of Atlantis in this clip from Season 9, Episode 2, "Mysteries of the Sphinx". #AncientAliens Subscribe for more from Ancient Aliens and other great HISTORY show

From playlist Ancient Aliens: Official Series Playlist | New Episodes Fridays at 9/8c | History

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TOP 5 UNSOLVED MYSTERIES OF 2022 | The UnXplained

Check out these top moments from 2022, in this The UnXplained compilation. Watch all new episodes of The UnXplained, streaming now, on The HISTORY Channel website at http://history.com/schedule. #TheUnXplained Subscribe for more from The UnXplained and other great The HISTORY Channel

From playlist The UnXplained: Official Series Playlist | History

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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The Age of the Pyramid Builders

Get your free trial of MagellanTV here: https://try.magellantv.com/historyguy/. It's an exclusive offer for our viewers: an extended, month-long trial, FREE. MagellanTV is a new kind of streaming service run by filmmakers with 2,000+ documentaries! Check out our personal recommendation and

From playlist History without War

Related pages

Self-replication | Rep-tile | Pentagon | Equilateral triangle | Tessellation | Polyiamond | Geometry | Mirror image | Aperiodic tiling