enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Table of polyhedron dihedral angles - Wikipedia

   en.wikipedia.org/wiki/Table_of_polyhedron...

   Name Schläfli symbol Vertex/Face configuration exact dihedral angle (radians) dihedral angle – exact in bold, else approximate (degrees) Platonic solids (regular convex) Tetrahedron {3,3} (3.3.3) arccos (⁠ 1 / 3 ⁠) 70.529° Hexahedron or Cube {4,3} (4.4.4) arccos (0) = ⁠ π / 2 ⁠ 90° Octahedron {3,4} (3.3.3.3) arccos (-⁠ 1 / 3 ...

3. Dodecahedron - Wikipedia

   en.wikipedia.org/wiki/Dodecahedron

   In pyritohedral pyrite, the faces have a Miller index of (210), which means that the dihedral angle is 2·arctan(2) ≈ 126.87° and each pentagonal face has one angle of approximately 121.6° in between two angles of approximately 106.6° and opposite two angles of approximately 102.6°. The following formulas show the measurements for the ...

4. Regular dodecahedron - Wikipedia

   en.wikipedia.org/wiki/Regular_dodecahedron

   A regular dodecahedron or pentagonal dodecahedron [notes 1] is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. It is an example of Platonic solids, described as cosmic stellation by Plato in his dialogues, and it was used as part of Solar System proposed by Johannes Kepler. However, the regular dodecahedron ...

5. List of uniform polyhedra - Wikipedia

   en.wikipedia.org/wiki/List_of_uniform_polyhedra

   This is left blank for non-orientable polyhedra and hemipolyhedra (polyhedra with faces passing through their centers), for which the density is not well-defined. Note on Vertex figure images: The white polygon lines represent the "vertex figure" polygon. The colored faces are included on the vertex figure images help see their relations.

6. Small stellated dodecahedron - Wikipedia

   en.wikipedia.org/wiki/Small_stellated_dodecahedron

   The critical angle is atan(2) above the dodecahedron face. If we regard it as having 12 pentagrams as faces, with these pentagrams meeting at 30 edges and 12 vertices, we can compute its genus using Euler's formula V − E + F = 2 − 2 g {\displaystyle V-E+F=2-2g} and conclude that the small stellated dodecahedron has genus 4.

7. List of Wenninger polyhedron models - Wikipedia

   en.wikipedia.org/wiki/List_of_Wenninger...

   Name Picture Dual name Dual picture Wythoff symbol Vertex figure and Schläfli symbol Symmetry group U# K# V E F Faces by type 20 Small stellated dodecahedron: Great dodecahedron: 5|2 5 / 2 {5 / 2,5} I h: U34 K39 12 30 12 12{5 / 2} 21 Great dodecahedron: Small stellated dodecahedron: 5 / 2 |2 5 {5, 5 / 2} I h: U35 K40 12 30 12 12{5} 22 Great ...