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gyroelongated pentagonal birotunda
In geometry, the gyroelongated pentagonal birotunda is one of the Johnson solids (''J''48). As the name suggests, it can be constructed by gyroelongating a pentagonal birotunda (either ''J''34 or the icosidodecahedron) by inserting a decagonal antiprism between its two halves.
The gyroelongated pentagonal birotunda is one of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form. In the illustration to the right, each pentagonal face on the bottom half of the figure is connected by a path of two triangular faces to a pentagonal face above it and to the left. In the figure of opposite chirality (the mirror image of the illustrated figure), each bottom pentagon would be connected to a pentagonal face above it and to the right. The two chiral forms of ''J''48 are not considered different Johnson solids.
==See also==
*Birotunda
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