| 词条 | Gyroelongated pentagonal cupolarotunda |
| 释义 |
|image=gyroelongated_pentagonal_cupolarotunda.png |type=Johnson J46 - J47 - J48 |faces=7x5 triangles 5 squares 2+5 pentagons |edges=80 |vertices=35 |symmetry=C5 |vertex_config=5(3.4.5.4) 2.5(3.5.3.5) 2.5(34.4) 2.5(34.5) |dual=- |properties=convex, chiral |net=Johnson solid 47 net.png }} In geometry, the gyroelongated pentagonal cupolarotunda is one of the Johnson solids (J47). As the name suggests, it can be constructed by gyroelongating a pentagonal cupolarotunda (J32 or J33) by inserting a decagonal antiprism between its two halves. {{Johnson solid}}The gyroelongated pentagonal cupolarotunda 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 square 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 square face above it and to the right. The two chiral forms of J47 are not considered different Johnson solids. External links
2 : Johnson solids|Chiral polyhedra |
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