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Snub disphenoid: Difference between revisions - Wikipedia Jump to content

Snub disphenoid: Difference between revisions

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{{Infobox_Polyhedron |
{| border="1" bgcolor="#ffffff" cellpadding="5" align="right" style="margin-left:10px" width="250"
Image_File=snub_disphenoid.png |
!bgcolor=#e7dcc3 colspan=2|Snub disphenoid
Polyhedron_Type=[[Johnson solid|Johnson]]<br>[[tridiminished rhombicosidodecahedron|J<sub>83</sub>]] -''' J<sub>84</sub>''' - [[snub square antiprism|J<sub>85</sub>]]|
|-
Face_List=12 [[triangle]]s |
|align=center colspan=2|[[image:Snub disphenoid.png|240px|Snub disphenoid]]
Edge_Count=18 |
|-
Vertex_Count=8 |
|bgcolor=#e7dcc3|Type||[[Johnson solid|Johnson]]
Symmetry_Group=-|
|-
Vertex_List=4 of 3<sup>4</sup> and 4 of 3<sup>5</sup>|
|bgcolor=#e7dcc3|Faces||12 [[triangle]]s
Dual=-|
|-
Property_List=[[convex]], [[deltahedron]]}}
|bgcolor=#e7dcc3|Edges||18
|-
|bgcolor=#e7dcc3|Vertices||8
|-
|bgcolor=#e7dcc3|Vertex configuration||3<sup>4</sup> and 3<sup>5</sup>
|-
|bgcolor=#e7dcc3|[[Symmetry group]]||-
|-
|bgcolor=#e7dcc3|[[Dual polyhedron]]||-
|-
|bgcolor=#e7dcc3|Properties||convex, [[deltahedron]]
|}



In [[geometry]], the '''Snub disphenoid''' is one of the
In [[geometry]], the '''Snub disphenoid''' is one of the
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It is not a [[Platonic solid]] because some [[vertex|vertices]] have 4
It is not a [[Platonic solid]] because some [[vertex|vertices]] have 4
[[face|faces]] meeting and others have 5.
[[face|faces]] meeting and others have 5.
It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the [[Platonic solid|Platonic]] and [[Archimedean solid|Archimedean]] solids.


The 92 Johnson solids were named and described by [[Norman Johnson]] in [[1966]].
The 92 Johnson solids were named and described by [[Norman Johnson]] in [[1966]].
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*[http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]
*[http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]


{{geometry-stub}}

{{stub}}

[[Category:Johnson solids]]
[[Category:Johnson solids]]
[[Category:Deltahedra]]
[[Category:Deltahedra]]

Revision as of 02:03, 28 February 2005

Snub disphenoid
TypeJohnson
J83 - J84 - J85
Faces12 triangles
Edges18
Vertices8
Vertex configuration4 of 34 and 4 of 35
Symmetry group-
Dual polyhedron-
Propertiesconvex, deltahedron

In geometry, the Snub disphenoid is one of the Johnson solids (J84). It is a three-dimensional solid that has equilateral triangles only as faces. It is a deltahedron. It is not a Platonic solid because some vertices have 4 faces meeting and others have 5. It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

External links