Regular 3-honeycombs | Isochoric 3-honeycombs | Honeycombs (geometry) | Heptagonal tilings | Order-3-n 3-honeycombs | Infinite-order tilings | Isogonal 3-honeycombs | Order-n-7 3-honeycombs
In the geometry of hyperbolic 3-space, the order-3-7 heptagonal honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {7,3,7}. (Wikipedia).
These sculptures are joint work with Roice Nelson. They are available from shapeways.com at http://shpws.me/oNgi, http://shpws.me/oqOx and http://shpws.me/orB8.
From playlist 3D printing
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
Reaching for Infinity Through Honeycombs – Roice Nelson
Pick any three integers larger than 2. We describe how to understand and draw a picture of a corresponding kaleidoscopic {p,q,r} honeycomb, up to and including {∞,∞,∞}.
From playlist G4G12 Videos
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
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
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
Why do Bees build Hexagons? Honeycomb Conjecture explained by Thomas Hales
Mathematician Thomas Hales explains the Honeycomb Conjecture in the context of bees. Hales proved that the hexagon tiling (hexagonal honeycomb) is the most efficient way to maximise area whilst minimising perimeter. Interview with Oxford Mathematician Dr Tom Crawford. Produced by Tom Roc
From playlist Mathstars
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
Particle distribution in a honeycomb maze with rounded cells
This simulation shows the particle distribution in a honeycomb maze, which was introduced in the video https://youtu.be/a3ICP1wQyR8 . The walls of each hexagonal cell are part of a same circle which is inscribed in the hexagon. As we have seen in the previous video, particles can spend lon
From playlist Illumination problem
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
Graphene Nanoribbons and the Experimentalist Who Used Mathematica
Peter Jacobse
From playlist Wolfram Technology Conference 2019
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
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
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
Find the Sum of the Angles of a Heptagon
Find the Sum of the Angles of a Heptagon If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help support my cha
From playlist Polygons
The Mystery of the Fibonacci Cycle
A video about the mysterious pattern found in the final digits of Fibonacci numbers. It turns out, if you write out the full sequence of Fibonacci numbers, the pattern of final digits repeats every 60 numbers. What’s up with that? Watch this video and you’ll find out! (My apologies to any
From playlist Summer of Math Exposition Youtube Videos
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
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
Find the Measure of the Angle of a Regular Heptagon
Find the Measure of the Angle of a Regular Heptagon If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help sup
From playlist Polygons
How to construct a Regular Hexahedron (Cube)
How the greeks constructed the 3rd platonic solid: the regular hexahedron Source: Euclids Elements Book 13, Proposition 15 https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry
From playlist Platonic Solids