Elongated pentagonal gyrobicupola

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Elongated pentagonal gyrobicupola
Elongated pentagonal gyrobicupola
Type Johnson
J38 - J39 - J40
Faces 10 triangles
20 squares
2 pentagons
Edges 60
Vertices 30
Vertex configuration 10 of 3.4.5.4
20 of 3.43
Symmetry group -
Dual -
Properties convex

In geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids (J39). As the name suggests, it can be constructed by elongating a pentagonal gyrobicupola (J31) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal cupolae (J5) through 36 degrees before inserting the prism yields an elongated pentagonal orthobicupola (J38).

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

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