Honeycombs (geometry)

Architectonic and catoptric tessellation

In geometry, John Horton Conway defines architectonic and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space groups and their duals, as three-dimensional analogue of the Platonic, Archimedean, and Catalan tiling of the plane. The singular vertex figure of an architectonic tessellation is the dual of the cell of catoptric tessellation. The cubille is the only Platonic (regular) tessellation of 3-space, and is self-dual. There are other uniform honeycombs constructed as gyrations or prismatic stacks (and their duals) which are excluded from these categories. (Wikipedia).

Architectonic and catoptric tessellation
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From playlist Topos à l'IHES

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From playlist Algebraic and Complex Geometry

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mandelbrot julia rotation 3

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From playlist Fractal

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This video shows some basic facts about the classical spherical coordinates in vector calculus.

From playlist Dr Denis Potapov's videos

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Olivia Caramello - 2/4 ntroduction to categorical logic, classifying toposes...

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From playlist Topos à l'IHES

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The Romans developed a lot of infrastructure like roads and aqueducts to both help their cities flourish and to... you know... be better at war. But the interesting thing about Roman Engineering is how it was almost all focused on Techne and not Episteme. In this episode of Crash Course H

From playlist History of Science

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Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021

A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n

From playlist Celebration of Mind 2021

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From playlist Eureka Math Grade 3 Module 7

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The Cosmic Spiderweb: void/wall perpendicularity in (...) - M. Neyrinck - Workshop 1 - CEB T3 2018

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From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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From playlist Dynamical Systems and Ordinary Differential Equations

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From playlist Inkscape for teachers

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From playlist Inkscape for teachers

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From playlist Inkscape for teachers

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mandelbrot julia rotation 2

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From playlist Fractal

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Laura Taalman - Printing Perfect Pentagons - G4G13 Apr 2018

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From playlist G4G13 Videos

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Trigonal trapezohedral honeycomb | Truncated cubic honeycomb | Tetrahedral-octahedral honeycomb | Cuboid | Vertex figure | John Horton Conway | Triangular prism | Space group | Harold Scott MacDonald Coxeter | Square pyramid | Honeycomb (geometry) | Quarter cubic honeycomb | Triangular bipyramid | Trigonal trapezohedron | Symmetry group | Rhombic dodecahedral honeycomb | Rhombic dodecahedron | Cube | Cuboctahedron | Bitruncated cubic honeycomb | Convex uniform honeycomb | Branko Grünbaum | Coxeter notation | Cubic crystal system | Geometry | Octahedron | Cubic honeycomb