Regular 3-honeycombs | Isochoric 3-honeycombs | Honeycombs (geometry) | Heptagonal tilings | Order-n-5 3-honeycombs | Order-3-n 3-honeycombs | Isogonal 3-honeycombs

Order-3-5 heptagonal honeycomb

In the geometry of hyperbolic 3-space, the order-3-5 heptagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. (Wikipedia).

Order-3-5 heptagonal honeycomb
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Hyperbolic honeycombs

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

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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

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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

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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

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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

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Order 12 Subgroups in S5

Abstract Algebra: Find all subgroups in S5, the symmetric group on 5 letters, that are isomorphic to D12, the dihedral group with 12 elements.

From playlist Abstract Algebra

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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

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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

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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

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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

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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

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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

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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

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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

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Polygons

This geometry video tutorial provides a basic introduction into polygons. It explains how to identify if a figure is a regular polygon from those that are not polygons. Polygons have a 2D shape, they are closed figures, and do not contain intersecting lines and open sections. This video

From playlist GED Math Playlist

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Amazon Honeycode | Build An Application Without Coding | AWS Training | Edureka | AWS Rewind - 4

🔥Edureka AWS Certification Training: https://www.edureka.co/aws-certification-training This "Amazon Honeycode Tutorial" video by Edureka will help you understand what exactly is Amazon Honeycode and how you can create an application using honeycode without any programming. 🔹Checkout Edur

From playlist AWS Tutorial Videos

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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

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Introduction Polyhedra Using Euler's Formula

This video introduces polyhedra and how every convex polyhedron can be represented as a planar graph. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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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

Related pages

Hyperbolic space | Regular Polytopes (book) | Octagon | Order-7 cubic honeycomb | Poincaré disk model | Icosahedron | Vertex figure | Order-3 apeirogonal tiling | Hypercycle (geometry) | Schläfli symbol | Heptagon | Geometry | Octagonal tiling | Apeirogon | Coxeter–Dynkin diagram | Tessellation | Honeycomb (geometry) | Heptagonal tiling