Small rhombidodecacron

Multi tool use
Small rhombidodecacron
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Type |
Star polyhedron
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Face |

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Elements |
F = 60, E = 120 V = 42 (χ = −18)
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Symmetry group |
Ih, [5,3], *532
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Index references |
DU39
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dual polyhedron |
Small rhombidodecahedron
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In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.
References
Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}
External links
- Weisstein, Eric W. "Small rhombidodecacron". MathWorld.
- Uniform polyhedra and duals
Star-polyhedra navigator
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Kepler-Poinsot polyhedra (nonconvex regular polyhedra) |
- small stellated dodecahedron
- great dodecahedron
- great stellated dodecahedron
- great icosahedron
|
Uniform truncations of Kepler-Poinsot polyhedra |
- dodecadodecahedron
- truncated great dodecahedron
- rhombidodecadodecahedron
- truncated dodecadodecahedron
- snub dodecadodecahedron
- great icosidodecahedron
- truncated great icosahedron
- nonconvex great rhombicosidodecahedron
- great truncated icosidodecahedron
|
Nonconvex uniform hemipolyhedra
|
- tetrahemihexahedron
- cubohemioctahedron
- octahemioctahedron
- small dodecahemidodecahedron
- small icosihemidodecahedron
- great dodecahemidodecahedron
- great icosihemidodecahedron
- great dodecahemicosahedron
- small dodecahemicosahedron
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Duals of nonconvex uniform polyhedra |
- medial rhombic triacontahedron
- small stellapentakis dodecahedron
- medial deltoidal hexecontahedron
- small rhombidodecacron
- medial pentagonal hexecontahedron
- medial disdyakis triacontahedron
- great rhombic triacontahedron
- great stellapentakis dodecahedron
- great deltoidal hexecontahedron
- great disdyakis triacontahedron
- great pentagonal hexecontahedron
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Duals of nonconvex uniform polyhedra with infinite stellations |
- tetrahemihexacron
- hexahemioctacron
- octahemioctacron
- small dodecahemidodecacron
- small icosihemidodecacron
- great dodecahemidodecacron
- great icosihemidodecacron
- great dodecahemicosacron
- small dodecahemicosacron
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