Semiregular tilings | Hexagonal tilings | Isogonal tilings | Euclidean tilings | Truncated tilings

Truncated hexagonal tiling

In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each vertex. As the name implies this tiling is constructed by a truncation operation applies to a hexagonal tiling, leaving dodecagons in place of the original hexagons, and new triangles at the original vertex locations. It is given an extended Schläfli symbol of t{6,3}. Conway calls it a truncated hextille, constructed as a truncation operation applied to a hexagonal tiling (hextille). There are 3 regular and 8 semiregular tilings in the plane. (Wikipedia).

Truncated hexagonal tiling
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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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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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From playlist Faces, edges and Vertices of 3D shapes

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Yoshiyuki Kotani -Tiling of 123456-edged Hexagon - G4G13 Apr 2018

The theme is the tiling of flat plane by the hexagon which has the edges of 1,2,3,4,5,6 length, and that of other polygons of different edges. It is a very tough problem to make a tiling by a different edged polygon. Polygon tiling of plane often needs edges of the same lengths. It is well

From playlist G4G13 Videos

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Geometry: Ch 4 - Geometric Figures (11 of 18) The Regular Hexagon Analyzed with Trig

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From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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In this video, we explore the differences between starting with a random dot in a regular hexagon and iterating the procedure of choosing a hexagon vertex at random and moving either half the distance from the current dot to the chosen vertex OR two thirds the distance from the current dot

From playlist Fractals

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From playlist Maths

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Area of a Regular Hexagon in a Regular Hexagon (visual proof)

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From playlist Proofs Without Words

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The Honeycombs of 4-Dimensional Bees ft. Joe Hanson | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Be sure to check out It's OK to be Smart's video on nature's love of hexagons https://youtu.be/Pypd_yKGYpA And try CuriosityStream today: http://curiositystream.com/inf

From playlist Higher Dimensions

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Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021

If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc

From playlist Celebration of Mind 2021

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Cookie Shapes!

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From playlist Thanksgiving: Edible Math

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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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Gourab Ray : Universality of fluctuations of the dimer model

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From playlist Combinatorics

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Complex ODEs: Asymptotics, Orthogonal Polynomials and Random Matrices - 16 May 2018

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From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Rose Kaplan-Kelly: Right-angled Links in Thickened Surfaces

Rose Kaplan-Kelly, Temple University Title: Right-angled Links in Thickened Surfaces Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this talk, we will consider links which are alternating on higher genus surfaces $S_g$ in $S_g \times I$. We wil

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Frank Morgan - Optimal Pentagonal Tilings - CoM May 2021

In 2001 Thomas Hales proved that hexagons provide the least-perimeter way to tile the plane with unit areas. Of course, among hexagons, the regular one is best. Similarly, the best quadrilateral is square and the best triangle is equilateral. But what is the best pentagonal tile? Unfortuna

From playlist Celebration of Mind 2021

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Bridges 2017 talk - Non-euclidean virtual reality

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From playlist GPU shaders

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How many panels on a soccer ball? - Numberphile

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From playlist Football (soccer) on Numberphile

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Constructing a Hexagon (with a compass)

This video focuses on how to construct a regular hexagon with a compass and straightedge. I also explain the concept of why the construction works by exploring the anatomy of a regular hexagon. If you found this video helpful, please click the LIKE and SUBSCRIBE buttons below, it helps me

From playlist Geometry

Related pages

Hexagon | Kissing number | Dodecagon | Vertex configuration | Uniform coloring | John Horton Conway | Circle packing | Schläfli symbol | Vertex (geometry) | Edge tessellation | Truncation (geometry) | Uniform tiling | Coxeter group | Euclidean plane | Hexagonal tiling | Triangular tiling | Uniform polyhedron | Triakis octahedron | Geometry | Triangle | Triakis icosahedron