Forms
Two members of the set can be deltahedra, that is, constructed entirely of equilateral triangles: the gyroelongated square bipyramid, a Johnson solid, and the icosahedron, a Platonic solid. The gyroelongated triangular bipyramid can be made with equilateral triangles, but is not a deltahedron because it has coplanar faces, i.e. is not strictly convex. The other members can be constructed with isosceles triangles.
| n | 3 | 4 | 5 | 6 | n |
|---|---|---|---|---|---|
| Shape | Gyroelongated triangular bipyramid | Gyroelongated square bipyramid | Gyroelongated pentagonal bipyramid (icosahedron) |
Gyroelongated hexagonal bipyramid | Gyroelongated bipyramid |
| Image | |||||
| Dual | Triangular truncated trapezohedron | Square truncated trapezohedron | Pentagonal truncated trapezohedron (Dodecahedron) |
Hexagonal truncated trapezohedron | Truncated trapezohedra |
Read more about this topic: Gyroelongated Bipyramid
Famous quotes containing the word forms:
“I may not tell
of the forms that pass and pass,
of that constant old, old face
that leaps from each wave
to wait underneath the boat
in the hope that at last she’s lost.”
—Hilda Doolittle (1886–1961)
“The failure of women to produce genius of the first rank in most of the supreme forms of human effort has been used to block the way of all women of talent and ambition for intellectual achievement.”
—Anna Garlin Spencer (1851–1931)
“A painter told me that nobody could draw a tree without in some sort becoming a tree; or draw a child by studying the outlines of its forms merely,—but by watching for a time his motions and plays, the painter enters into his nature and can then draw him at will in every attitude.”
—Ralph Waldo Emerson (1803–1882)