“Elongated pentagonal gyrobirotunda”的意思、由来-开放百科全书

词条

Elongated pentagonal gyrobirotunda

释义

Formulae
References
External links

{{Infobox polyhedron
|image=elongated_pentagonal_gyrobirotunda.png
|type=Johnson
J₄₂ - J₄₃ - J₄₄
|faces=10+10 triangles
10 squares
2+10 pentagons
|edges=80
|vertices=40
|symmetry=D_5d
|vertex_config=20(3.4².5)
2.10(3.5.3.5)
|dual=-
|properties=convex
|net=Johnson solid 43 net.png
}}

In geometry, the elongated pentagonal gyrobirotunda is one of the Johnson solids (J₄₃). As the name suggests, it can be constructed by elongating a "pentagonal gyrobirotunda," or icosidodecahedron (one of the Archimedean solids), by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal rotundae (J₆) through 36 degrees before inserting the prism yields an elongated pentagonal orthobirotunda (J₄₂).

Formulae

The following formulae for volume and surface area can be used if all faces are regular, with edge length a:^[1]

References

1. ^Stephen Wolfram, "Elongated pentagonal gyrobirotunda" from Wolfram Alpha. Retrieved July 26, 2010.

External links

{{Mathworld2 | urlname = ElongatedPentagonalGyrobirotunda | title =Elongated pentagonal gyrobirotunda | urlname2 = JohnsonSolid | title2 = Johnson solid }}

1 : Johnson solids

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