“Diminished rhombicosidodecahedron”的意思、由来-开放百科全书

词条

Diminished rhombicosidodecahedron

释义

External links

{{Infobox polyhedron
|image=diminished_rhombicosidodecahedron.png
|type=Johnson
J₇₅ - J₇₆ - J₇₇
|faces=3x5 triangles
3x5+10 squares
1+2x5 pentagons
1 decagon
|edges=105
|vertices=55
|symmetry=C_5v
|vertex_config=10(4.5.10)
3x5+3x10(3.4.5.4)
|dual=-
|properties=convex
|net=Johnson solid 76 net.png
}}

In geometry, the diminished rhombicosidodecahedron is one of the

Johnson solids (J₇₆).

It can be constructed as a rhombicosidodecahedron with one pentagonal cupola removed.

Related Johnson solids are:

J₈₀: parabidiminished rhombicosidodecahedron with two opposing cupolae removed, and
J₈₁: metabidiminished rhombicosidodecahedron with two non-opposing cupolae removed, and
J₈₃: tridiminished rhombicosidodecahedron with three cupola removed.

External links

{{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname =DiminishedRhombicosidodecahedron | title = Diminished rhombicosidodecahedron }}
Editable printable net of a diminished rhombicosidodecahedron with interactive 3D view

1 : Johnson solids

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