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dodecahedron
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Regular dodecahedron - Wikipedia
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex . It is one of the Platonic solids, described in Plato's dialogues as the shape of the universe itself. Johannes Kepler used the dodecahedron in his 1596 model of the Solar System.
en.wikipedia.org
en.wikipedia.org
Dodecahedron - Wikipedia
any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid.
en.wikipedia.org
en.wikipedia.org
Roman dodecahedron: A mysterious 12-sided object ... - Live Science
There are more than 50 theories for the function of this 12-sided, pentagonal-faced bronze object — but archaeologists have never quite ...
www.livescience.com
www.livescience.com
dodecahedron
dodecahedron Geom. (ˌdəʊdɪkəˈhiːdrən) Also 6–9 dodecaedron, 6–8 -um. [a. Gr. δωδεκάεδρον, neuter of δωδεκάεδρος, f. δώδεκα twelve + ἕδρα seat, base, face. Cf. F. dodécaèdre (16th c.).] A solid figure having twelve faces: esp. the regular dodecahedron, see quots. 1570, 1653.1570 Billingsley Euclid xi...
Oxford English Dictionary
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DODECAHEDRON Definition & Meaning - Merriam-Webster
The meaning of DODECAHEDRON is a solid having 12 plane faces.
www.merriam-webster.com
www.merriam-webster.com
Paper Dodecahedron - Paper Models of Polyhedra
The dodecahedron is one of the 5 Platonic Solids (convex regular polyhedra). The model is made of 12 regular pentagonal faces. Tutorial vídeo dodecahedron.
www.polyhedra.net
www.polyhedra.net
Rhombic dodecahedron
Bilinski dodecahedron
In 1960 Stanko Bilinski discovered a second rhombic dodecahedron with 12 congruent rhombus faces, the Bilinski dodecahedron. See also
Dodecahedron
Rhombic triacontahedron
Trapezo-rhombic dodecahedron
Truncated rhombic dodecahedron
24-cell – 4D analog of rhombic dodecahedron
Archimede
wikipedia.org
en.wikipedia.org
Mathematicians Report New Discovery About the Dodecahedron
Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.
www.quantamagazine.org
www.quantamagazine.org
Dodecahedron -- from Wolfram MathWorld
A (general) dodecahedron is a polyhedron having 12 faces. Examples include the Bilinski dodecahedron, decagonal prism, elongated square dipyramid.
mathworld.wolfram.com
mathworld.wolfram.com
The Dodecahedron: Ancient Toy or Practical Tool?
This 12-sided hollow object dating back to ancient Rome looks like a primitive Rubik's Cube, but its function—if it had one—remains a mystery.
www.history.com
www.history.com
Dodecahedron - Definition, Formulas, Properties, Examples - Cuemath
A dodecahedron is a three-dimensional figure having twelve faces that are pentagonal in shape. All the faces are flat 2-D shapes.
www.cuemath.com
www.cuemath.com
Spinning Dodecahedron - Math is Fun
A 3D shape with 12 flat faces. Notice these interesting things: It has 12 faces. It has 30 edges. It has 20 vertices (corner points).
www.mathsisfun.com
www.mathsisfun.com
Robotic dodecahedron searches the deep sea for new species
Jan 17, 2024Brennan Phillips. A robotic dodecahedron can capture fragile deep-sea animals to collect tissues samples and construct three-dimensional scans of the creatures, potentially speeding up the ...
www.newscientist.com
Snub dodecahedron
The snub dodecahedron has the highest sphericity of all Archimedean solids. Geometric relations
The snub dodecahedron can be generated by taking the twelve pentagonal faces of the dodecahedron and pulling them outward so they
wikipedia.org
en.wikipedia.org
Symmetry group of the dodecahedron and its subsets > Let $G$ be the symmetry group of the dodecahedron. Indicate subsets of the dodecahedron on which $G$ acts by all possible permutations. I know that $G \simeq A_5 \...
If the question is "find all the subsets $E$ of the dodecahedron such that $G$ acts on $E$ by all permutations" then the only possibility is $E=$ {the
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