Uniform tilings | Hyperbolic tilings | Isogonal tilings | Order-4 tilings | Hexagonal tilings | Truncated tilings

Truncated order-4 hexagonal tiling

In geometry, the truncated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,4}. A secondary construction tr{6,6} is called a truncated hexahexagonal tiling with two colors of dodecagons. (Wikipedia).

Truncated order-4 hexagonal tiling
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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

Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the regular hexagon using trigonometry the details of the regular hexagon. Next video in this series can be seen at: https://youtu.be/oaT0pSYDVZI

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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Geometry: Ch 4 - Geometric Figures (10 of 18) The Regular Hexagon

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the 3 angles of the regular hexagon and its parameter and area. Next video in this series can be seen at: https://youtu.be/1-bs5CvLQik

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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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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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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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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Drawing a 4 cm hexagon using Maths-Pro

How to draw a 4 cm side length regular polygon using Maths-Pro. Visit my website www.maths-pro.com for hundreds of free Maths resources (worksheets, posters, polyhedra photos and construction advice and much more.

From playlist Using the Maths-Pro geometry template and other geometry

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How Many Faces, Edges And Vertices Does A Hexagonal Prism Have?

How Many Faces, Edges And Vertices Does A Hexagonal Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a hexagonal prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A hexagonal prism has 8 faces altogether - 2 hexagon

From playlist Faces, edges and Vertices of 3D shapes

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

Centro di Ricerca Matematica Ennio De Giorgi http://crm.sns.it/event/429/ Complex ODEs: Asymptotics, Orthogonal Polynomials and Random Matrices An international interdisciplinary workshop, gathering experts in mathematics and mathematical physics, working on the theory of orthogonal and

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Cookie Shapes!

Avoiding math to have a relaxing Saturday with friends. Links to everyone's cool stuff below: Gwen Fisher: http://www.beadinfinitum.com/ She also has a blog: http://gwenbeads.blogspot.com/ Also buy everything from her etsy shop before someone else does: https://www.etsy.com/shop/gwenbead

From playlist Thanksgiving: Edible Math

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Bridges 2018 talk - Visualizing hyperbolic honeycombs

This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2018, about my JMA paper with Roice Nelson: https://www.tandfonline.com/doi/abs/10.1080/17513472.2016.1263789 Many high resolution images at hyperbolichoneycombs.org Ray-m

From playlist Talks

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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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How many panels on a soccer ball? - Numberphile

Applying the Euler Characteristic to a soccer ball (football). More links & stuff in full description below ↓↓↓ See the Brussels Sprouts video: http://youtu.be/OAss481FfAQ Truncated Icosahedron: http://youtu.be/4mEk7d8oRho An extra bit: http://youtu.be/QwfPTE7lEbE Featuring Teena Gerhard

From playlist Football (soccer) on Numberphile

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Polygonal Numbers - Geometric Approach & Fermat's Polygonal Number Theorem

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

From playlist ℕumber Theory

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High density phases of hard-core lattice particle systems - Ian Jauslin

Members' Seminar Topic: High density phases of hard-core lattice particle systems Speaker: Ian Jauslin Affiliation: Member, School of Mathematics Date: October 30, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Ayliean MacDonald - The Pentagon: A User’s Guide - CoM Oct 2021

Regular pentagons throw a spanner in the works when it comes to tessellation but don’t let that one case tarnish the good name of the pentagon! Come along as we explore the 15 irregular pentagons which do tile the plane, journey through five fold symmetry, make a quick pit stop to look at

From playlist Celebration of Mind 2021

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How to construct a Tetrahedron

How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th

From playlist Platonic Solids

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Bridges 2017 talk - Non-euclidean virtual reality

This is a talk I gave with Sabetta Matsumoto (Georgia Tech) at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2017, about my papers with Vi Hart, Andrea Hawksley and Sabetta Matsumoto: http://archive.bridgesmathart.org/2017/bridges2017-33.htm

From playlist GPU shaders

Related pages

Dodecagon | Schläfli symbol | Commutator subgroup | Alternation (geometry) | Coxeter notation | Hyperbolic geometry | Geometry | Square tiling | Orbifold notation | John Horton Conway