Tetrated dodecahedron: Difference between revisions
Content deleted Content added
mNo edit summary |
add stat table |
||
| Line 1: | Line 1: | ||
{| border="1" bgcolor="#ffffff" cellpadding="5" align="right" style="margin-left:10px" width="250" |
|||
| ⚫ | The tetrated dodecahedron is a [[near-miss Johnson solid]]. It was first discovered in 2002 by Alex Doskey. It was then independently rediscovered in 2003 and named by Robert Austin. |
||
!bgcolor=#e7dcc3 colspan=2|Tetrated dodecahedron |
|||
|- |
|||
|align=center colspan=2|[[Image:Tetrated Dodecahedron.gif|240px|Augmented tridiminished icosahedron]] |
|||
|- |
|||
|bgcolor=#e7dcc3|Type||[[near-miss Johnson solid]] |
|||
|- |
|||
|bgcolor=#e7dcc3|Faces||16 [[triangle]]s<br>5 [[pentagon]]s |
|||
|- |
|||
|bgcolor=#e7dcc3|Edges||54 |
|||
|- |
|||
|bgcolor=#e7dcc3|Vertices||28 |
|||
|- |
|||
|bgcolor=#e7dcc3|Vertex configuration||5.5.5<BR>3.5.3.5<BR>3.3.5.5 |
|||
|- |
|||
|bgcolor=#e7dcc3|[[Symmetry group]]||T<sub>d</sub> |
|||
|- |
|||
|bgcolor=#e7dcc3|[[Dual polyhedron]]||? |
|||
|- |
|||
|bgcolor=#e7dcc3|Properties||convex |
|||
|} |
|||
| ⚫ | The '''tetrated dodecahedron''' is a [[near-miss Johnson solid]]. It was first discovered in 2002 by Alex Doskey. It was then independently rediscovered in 2003 and named by Robert Austin. It has 28 faces: twelve regular pentagons arranged in four panels of three pentagons each, four equilateral triangles (shown in blue), and six pairs of isosceles triangles (shown in yellow). All edges of the tetrated dodecahedron have the same length, except for the shared bases of these isosceles triangles, which are approximately 1.07 times as long as the other edges. This [[polyhedron]] has tetrahedral symmetry. |
||
== External links == |
|||
[[Image:Tetrated Dodecahedron.gif]] |
|||
* [http://web.ukonline.co.uk/polyhedra/acrohedra/nearmiss/Tetrated%20Dodecahedra.html Tetrated Dodecahedra] |
|||
{{CopyrightedFreeUseProvidedThat|acknowledgement is given to Robert Webb's Great Stella software as the creator of this image along with a link to the Stella website: http://www.software3d.com/Stella.html}} |
{{CopyrightedFreeUseProvidedThat|acknowledgement is given to Robert Webb's Great Stella software as the creator of this image along with a link to the Stella website: http://www.software3d.com/Stella.html}} |
||
Revision as of 23:38, 7 November 2006
| Tetrated dodecahedron | |
|---|---|
| |
| Type | near-miss Johnson solid |
| Faces | 16 triangles 5 pentagons |
| Edges | 54 |
| Vertices | 28 |
| Vertex configuration | 5.5.5 3.5.3.5 3.3.5.5 |
| Symmetry group | Td |
| Dual polyhedron | ? |
| Properties | convex |
The tetrated dodecahedron is a near-miss Johnson solid. It was first discovered in 2002 by Alex Doskey. It was then independently rediscovered in 2003 and named by Robert Austin. It has 28 faces: twelve regular pentagons arranged in four panels of three pentagons each, four equilateral triangles (shown in blue), and six pairs of isosceles triangles (shown in yellow). All edges of the tetrated dodecahedron have the same length, except for the shared bases of these isosceles triangles, which are approximately 1.07 times as long as the other edges. This polyhedron has tetrahedral symmetry.