Octagonal tilings | Uniform tilings | Order-6 tilings | Hyperbolic tilings | Isogonal tilings | Truncated tilings
In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{8,6}. (Wikipedia).
How Many Faces, Edges And Vertices Does A Octagonal Prism Have?
How Many Faces, Edges And Vertices Does A Octagonal Prism Have? Here we’ll look at how to work out the faces, edges of vertices of an octagonal prism. We’ll start by counting the faces, these are the flat surfaces that make the 3D shape. An octagonal prism has 10 faces altogether - 2 o
From playlist Faces, edges and Vertices of 3D shapes
(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
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
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
Laser beams in a maze with octagonal and square cells
Yay, another maze type! This one, suggested in comments, is based on a particular so-called semi-regular tiling, made of regular octagons and squares. The tiling is also called truncated square tiling, or truncated quadrille. At the beginning of the simulation, 15000 laser beams, or parti
From playlist Illumination problem
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
Particle density in a maze with octagonal and square cells
This is the particle density version of the maze with regular octagonal and square cells, that appeared previously in the videos https://youtu.be/BZ-YIi2gTQ8 and https://youtu.be/OSxjmKsLzjo . The maze is based on a semi-regular tiling of the plane known as truncated square-tiling, or trun
From playlist Illumination problem
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
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
Geometry: Ch 4 - Geometric Figures (16 of 18) The Right Circular Cone Truncated
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the right circular truncated cone, and explain the equations of its surface area and volume. Next video in this series can be seen at: https://youtu.be/zNxXORWmA2E
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
[Epilepsy warning] A rotating laser beam in a maze with octagonal and square cells
I put an epilepsy warning on this video, since there is some flashing in the first part. This video shows the "rotating laser" version of the maze based on a semi-regular tiling, introduced in the video https://youtu.be/BZ-YIi2gTQ8 . The tiling is also called truncated square tiling, or tr
From playlist Illumination problem
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
The Beauty of Symmetry: An Introduction to the Wallpaper Group
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription! Resources used in the video: Web app to generate all 17 wallpapers: https://math.hws.edu/eck/js/symmetry/wallpaper.html Lots of i
From playlist Cool Math Series
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
Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str
From playlist Universal Hyperbolic Geometry
Laser beams in a large maze with octagonal and square cells
This second simulation in a maze based on a truncated square tiling, made or regular octagons and squares, features a larger maze, of size 64 by 64. The previous video https://youtu.be/BZ-YIi2gTQ8 used a maze of size 32 by 32. In the current version, the maze is so large that no beam manag
From playlist Illumination problem
IMS Public Lecture: From Puzzles to Moduli Spaces
Hugo Parlier, University of Fribourg, Switzerland
From playlist Public Lectures
Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18
School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent
From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects