- Copilot AnswerGeometry
The 120-cell incorporates the geometries of every convex regular polytope in the first four dimensions (except the … See more
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- 120-cellThe 120-cell is a finite regular four-dimensional polytope with Schläfli symbol . It is also known as the hyperdodecahedron or hecatonicosachoron, and is composed of 120 dodecahedra, with 3 to an edge, and 720 pentagons (Coxeter 1973, p. 264).mathworld.wolfram.com/120-Cell.html
120-Cell -- from Wolfram MathWorld
The 120-cell is a finite regular four-dimensional polytope with Schläfli symbol . It is also known as the hyperdodecahedron or hecatonicosachoron, and is composed of 120 dodecahedra, with 3 to an edge, and 720 pentagons (Coxeter 1973, p. …
The HyperSphere - Massachusetts …
These characteristic linked circles show up everywhere in images of the denizens of four dimensional space, and lend the images their particular harmony. The hyper-dodecahedron is not the …
Regular 4-polytope - Wikipedia
Like their 3-dimensional analogues, the convex regular 4-polytopes can be naturally ordered by size as a measure of 4-dimensional content …
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In general, the exterior derivative maps k-forms to (k + 1)-forms. In four dimensions, there are 4 derivatives, the gradient, the curl, the hypercurl and the divergence. There seems to be no …
Construction of the Hyper-Dodecahedron - Theory
The light areas are the eight existing faces. Remember that the blue faces with the arrows are the same faces. All that is left is to connect the remaining four vertices (the red dots to each other, and the green dots to each other) with an …
Hyperdodecahedron -- from Wolfram MathWorld
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120-cell - YouTube
Watch full videoJun 3, 2010 · This short computer graphics animation presents the regular 120-cell: a four dimensional polytope composed of 120 dodecahedra and also known as the hyperdodecahedron or hecatonicosachoron.
- Author: Gian Marco Todesco
- Views: 77.3K
Theory.org Geometry/Topology
A construction of the Hyper-Dodecahedron, or 120-cell, a four dimensional polytope that is the analogue of the regular dodecahedron in three dimensions. A senior thesis in mathematics, …
The 120-Cell - qfbox.info
Jun 17, 2019 · The 120-cell is a beautiful object composed of 120 dodecahedra, joined 3 to an edge, meeting at 720 pentagons, 1200 edges, and 600 vertices. It is the equivalent of the 3D regular dodecahedron. It is the dual of the 600-cell. …
4-polytope - Wikipedia
In geometry, a 4-polytope (sometimes also called a polychoron, [1] polycell, or polyhedroid) is a four-dimensional polytope. [2][3] It is a connected and closed figure, composed of lower …
Regular Polychoron -- from Wolfram MathWorld
Mar 5, 2025 · Of the six regular convex polychora, five are typically regarded as being analogous to the Platonic solids: the 4-simplex (a hyper-tetrahedron), the 4-cross polytope (a hyper …
120-cell - Wikiversity
Mar 10, 2025 · In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {5,3,3}. It is also called a C120, dodecaplex …
platonic - Department of Mathematics
The 'hyperdodecahedron' - mathematicians call it the '120-cell' - with 120 dodecahedral faces. This one is one of my favorites, so let's see it made of platinum struts attached by gold …
There are two natural ways to de ̄ne a convex polyhedron, A: As the convex hull of a ̄nite set of points. As a subset of En cut out by a ̄nite number of hyper-planes, more precisely, as the …
24-cell - Wikipedia
It is also called C24, or the icositetrachoron, [2] octaplex (short for "octahedral complex"), icosatetrahedroid, [3] octacube, hyper-diamond or polyoctahedron, being constructed of …
Energetics of Multi-shell Cages | SpringerLink
Jan 1, 2013 · The hyper-dodecahedron ( 60 & 24 & 10) U 20 _300 (Table 6.4, shell 1) appears the most stable, with a gain in gap of about 1 au, in comparison to C 60. Next stable is the …
Infinity Mirror Light Infinite Dodecahedron Color Art Light for …
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Dodecahedron - Wikipedia
In geometry, a dodecahedron (from Ancient Greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron[1] is any polyhedron …
Blazesly Light,Blazesly Infinity Glow Lamp,3D Hyper Cube Rgbw …
🎮 Ultimate Gaming Ambiance: Elevate your gaming setup with our infinity dodecahedron gaming light, designed to immerse you in a captivating light show. Enhance the atmosphere of your …
