Isohedral tilings | Order-7 tilings | Heptagonal tilings | Hyperbolic tilings | Isogonal tilings | Truncated tilings

Truncated order-7 heptagonal tiling

In geometry, the truncated order-7 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{7,7}, constructed from one heptagons and two tetrakaidecagons around every vertex. (Wikipedia).

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Code-It-Yourself! Simple Tile Based Platform Game #1

This video shows how to make a simple yet smooth tile-based 2D platform game, similar to classic offerings from older consoles. It uses nothing but the Windows Command Prompt to demonstrate robust collisions between the scenery and the player. All collisions are resolved using floating poi

From playlist Code-It-Yourself!

Video thumbnail

Super Fast Ray Casting in Tiled Worlds using DDA

In this video I look at how the "traditional OLC" method of raycasting in various videos is in fact terrible, and look at the more intelligent DDA algorithm which can significantly (orders of magnitude) be more effective at determining ray length in tile or voxel based worlds. Source: htt

From playlist Interesting Programming

Video thumbnail

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

Related pages

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