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golden rhombi; 3, 4, or 5 faces meet at each vertex. It has 5 faces (green on top figure) meeting at each of its 2 poles; these 2 vertices lie on its axis of 5-fold symmetry, which is perpendicular to 5 axes of 2-fold symmetry through the midpoints of opposite equatorial edges (example on top figure:
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The orthogonal projection of the (vertical) belt of 10 middle faces of the rhombic triacontahedron is just the (horizontal) exterior regular decagon of the common orthogonal projection.
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most left-hand and most right-hand mid-edges). Its other 10 faces follow its equator, 5 above and 5 below it; each of these 10 rhombi has 2 of its 4 sides lying on this zig-zag
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to 3 dimensions. The 32 vertices of a 5-cube map into the 22 exterior vertices of the rhombic icosahedron, with the remaining 10 interior vertices forming a
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The edges of the rhombic icosahedron can be grouped in 5 parallel-sets, seen in this wireframe orthogonal projection.
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The rhombic icosahedron and the rhombic triacontahedron have the same 10-fold symmetric orthogonal projection. (*)
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Removal of a further belt of 8 faces with parallel edges from the icosahedron results in the
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The rhombic icosahedron forms the convex hull of the vertex-first projection of a
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Even though all its faces are congruent, the rhombic icosahedron is not
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The rhombic icosahedron has 5 sets of 8 parallel edges, described as 8
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http://www.georgehart.com/virtual-polyhedra/zonohedra-info.html
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by removing a belt of 10 middle faces with parallel edges.
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equator. The rhombic icosahedron has 22 vertices. It has
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243:The rhombic icosahedron can be derived from the
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175:The rhombic icosahedron is a
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16:Not to be confused with
261:rhombic triacontahedron
245:rhombic triacontahedron
229:rhombic triacontahedron
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343:"Rhombic icosahedron"
315:mathworld.wolfram.com
311:"Rhombic Icosahedron"
286:Bilinski dodecahedron
118:A rhombic icosahedron
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290:rhombic dodecahedron
221:Rhombic dodecahedron
214:pentagonal antiprism
309:Weisstein, Eric W.
137:. Its 20 faces are
124:rhombic icosahedron
26:Rhombic icosahedron
340:Weisstein, Eric W.
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239:Related polyhedra
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144:skew decagon
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320:2019-12-20
296:References
177:zonohedron
171:Zonohedron
128:polyhedron
101:Properties
44:Zonohedron
382:Zonohedra
348:MathWorld
160:is odd).
139:congruent
96:, , (2*5)
376:Category
227:, and a
74:Vertices
231:from a
223:from a
364:Model
233:6-cube
225:4-cube
210:5-cube
135:sphere
132:oblate
105:convex
187:belts
126:is a
64:Edges
51:Faces
362:VRML
122:The
40:Type
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