Isohedral tilings | Order-7 tilings | Self-dual tilings | Heptagonal tilings | Hyperbolic tilings | Regular tilings | Isogonal tilings

Order-7 heptagonal tiling

In geometry, the order-7 heptagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {7,7}, constructed from seven heptagons around every vertex. As such, it is self-dual. (Wikipedia).

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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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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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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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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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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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Narayana's Cow and Other Algebraic Numbers

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Ed Pegg Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.

From playlist Wolfram Technology Conference 2018

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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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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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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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A lighthouse beam in a mirrored heptagon

For December 7, here is another animation that was wished by a viewer. A slowly rotating beam of light starts from the center of a regular heptagon, and is reflected on its walls. The color of the beam changes and its luminosity decreases after each reflection. In total, 128 reflections ar

From playlist Billiards in polygons

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Too many shapes to see all of them

0:00 a confusing maze It appears that we have a triangle of solid walls in front of us. Let's try to walk around it. Surprisingly, this "triangle" has seven sides! What's going on? 0:15 hyperbolic geometry This maze is actually based on hyperbolic geometry. The hyperbolic plane can be

From playlist Summer of Math Exposition Youtube Videos

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Regular tilings of the plane | Elementary Mathematics (K-6) Explained 37 | N J Wildberger

There are three famous regular tilings of the plane, and young people can happily learn about them. They are pleasing, made up of just one tile, which is itself a regular polygon, and have maximal symmetry. Curiously, the underlying tiles are the regular triangle (equilateral triangle), th

From playlist Elementary Mathematics (K-6) Explained

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Summing powers of 1/8 visually!

This is a short, animated visual proof showing the sum of the infinite geometric series of powers of 1/8 (starting with 1/8) is 1/7 using self similar trapezoids in a regular heptagon. #manim #math​​ #mathshorts​ #mathvideo​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​

From playlist MathShorts

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Number of Diagonals In a Regular Polygon - Geometry

This geometry video tutorial explains how to calculate the number of diagonals in a regular polygon such as a square, pentagon, hexagon, heptagon, and an octagon. It also explains how to confirm the answer by drawing the diagonals in a regular polygon. In addition, it discusses how to de

From playlist GED Math Playlist

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2000 years unsolved: Why is doubling cubes and squaring circles impossible?

Today's video is about the resolution of four problems that remained open for over 2000 years from when they were first puzzled over in ancient Greece: Is it possible, just using an ideal mathematical ruler and an ideal mathematical compass, to double cubes, trisect angles, construct regul

From playlist Recent videos

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Toy models — small mathematics in a big world — Tadashi Tokieda — ICM2018

Toy models — small mathematics in a big world — Would you like to come see some toys? ‘Toys’ here have a special sense: objects of daily life which you can find or make in minutes, yet which, if played with imaginatively, reveal surprises that keep scientists puzzling for a while. We will

From playlist Public Lectures

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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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Polygrams | A Fractional Number of Sides and Euler's Totient Function #some2

This is a video on polygrams created for the 3B1B Summer of Math Exposition 2. It was my first time creating a video and therefore it was quite difficult to do, although the next time I do a video it will be much easier. Nevertheless, I hope you can still enjoy it. Thanks to my sister

From playlist Summer of Math Exposition 2 videos

Related pages

Uniform tilings in hyperbolic plane | Schläfli symbol | Hyperbolic geometry | Geometry | Dual polyhedron | Square tiling | John Horton Conway