Isohedral tilings | Heptagonal tilings | Hyperbolic tilings | Regular tilings | Isogonal tilings
In geometry, a heptagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {7,3}, having three regular heptagons around each vertex. (Wikipedia).
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
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
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
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
(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
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
In this video, we explore the differences between starting with a random dot in a regular hexagon and iterating the procedure of choosing a hexagon vertex at random and moving either half the distance from the current dot to the chosen vertex OR two thirds the distance from the current dot
From playlist Fractals
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
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
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
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
Mathematics as Metaphor - Curtis McMullen (Harvard University)
Public lecture
From playlist Mathematics Research Center
Q&A - Topology, geometry and life in three dimensions
Caroline Series answers questions following her Friday Evening Discourse. What would the solar system look like in a universe with hyperbolic geometry? Was the proof of Fermat’s last theorem or the Poincare conjecture more exciting? Subscribe for regular science videos: http://bit.ly/RiSu
From playlist Ri Talks
R. William Gosper - Minsky's "Circle" Recurrence: Recent News - G4G12 April 2016
(With Rohan Ridenour) Some interesting special cases of the recurrence, including an open problem and a connection to Penrose tiles. (With animations.)
From playlist G4G12 Videos
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
Folding A Line Segment Into Polygons (Summer of Math Exposition #1)
If n-1 points are randomly distributed on line segment AB, what is the probability that AB can be folded at those points to form an n-sided polygon? This is my submission to https://3b1b.co/SoME1 You’re The Champion by MaxKoMusic | https://maxkomusic.com/ Music promoted by https://www.
From playlist Summer of Math Exposition Youtube Videos
Thomas Eliot - undergraduate talk
Thomas Eliot delivers an undergraduate research talk at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Area of an interior hexagon (visual proof) - plus a bonus area!
This is a short, animated visual proof of a relatively recent proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has been created from the region obtained by connecting vertices of the outer hexagon to appropriate edge midpoints of the outer
From playlist Proofs Without Words
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
