| 词条 | Gyroelongated pentagonal birotunda |
| 释义 |
|image=gyroelongated_pentagonal_birotunda.png |type=Johnson J47 - J48 - J49 |faces=4x10 triangles 2+10 pentagons |edges=90 |vertices=40 |symmetry=D5 |vertex_config=2x10(3.5.3.5) 2.10(34.5) |dual=- |properties=convex, chiral |net=Johnson solid 48 net.png }} In geometry, the gyroelongated pentagonal birotunda is one of the Johnson solids (J48). As the name suggests, it can be constructed by gyroelongating a pentagonal birotunda (either J34 or the icosidodecahedron) by inserting a decagonal antiprism between its two halves. {{Johnson solid}}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 J48 are not considered different Johnson solids. See also
External links
2 : Johnson solids|Chiral polyhedra |
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