Truncated order-6 octagonal tiling

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

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

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

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

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