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- ...ine Cube/Hexahedron & 8 & 12 & 6\ \hline Octahedron & 6 & 12 & 8\ \hline Dodecahedron & 20 & 30 & 12\ \hline Icosahedron & 12 & 30 & 20\ \hline \end{tabular} < A convex polyhedron has for its faces 12 squares, 8 regular hexagons, and 6 regular octagons. At each vertex of the polyhedron one square, one hexagon, and one1,006 bytes (134 words) - 13:15, 6 March 2022
- ...problem can be easily visualized; it corresponds to a [[dodecahedron]] (a regular solid with <math>12</math> [[equilateral]] pentagons) in which the <math>204 KB (716 words) - 19:50, 17 April 2022
- ...edron]], the regular [[octahedron]], the regular [[dodecahedron]], and the regular [[icosahedron]]. The dodecahedron has twelve faces, all of which are [[pentagon]]s. It also has twenty verti8 KB (1,184 words) - 15:06, 13 October 2024
- ...gular dodecahedron (the polyhedron consisting of <math>12</math> congruent regular pentagonal faces) floats in empty space with two horizontal faces. Note tha13 KB (1,968 words) - 17:05, 23 November 2024
- ...to refer to other twelve-sided polyhedra, as in the case of the [[rhombic dodecahedron]]. ...ces meet at each vertex. It is [[Platonic_solid#Duality | dual]] to the [[regular icosahedron]].835 bytes (125 words) - 12:00, 25 August 2019
- ...at each vertex. It is [[Platonic_solid#Duality | dual]] to the [[regular dodecahedron]].790 bytes (117 words) - 12:01, 25 August 2019
- ...ce is an equilateral triangle and five triangles meet at every vertex. The regular icosahedron shown below has one vertex at the top, one vertex at the bottom ...m_19 2020 AMC 10A #19], and connect all of the centers of the faces on the dodecahedron to get the icosahedron. The answer is <math>\boxed{810}</math>.4 KB (636 words) - 12:00, 22 December 2020
- ...gular dodecahedron (the polyhedron consisting of <math>12</math> congruent regular pentagonal faces) floats in space with two horizontal faces. Note that ther8 KB (1,269 words) - 04:36, 4 November 2022
- A rhombic dodecahedron is a solid with <math>12</math> congruent rhombus faces. At every vertex, < ...hexagonal blocks of side length <math>1</math> unit are arranged inside a regular hexagonal frame. Each block lies along an inside edge of the frame and is a16 KB (2,411 words) - 17:04, 23 November 2024
- ...th>S</math> be randomly chosen distinct vertices of a regular icosahedron (regular polyhedron made up of 20 equilateral triangles). What is the probability th ==Solution 8 (Dodecahedron Schlegel (Planar Graph) Diagram)==14 KB (2,340 words) - 06:39, 5 November 2024