Acronym | ... |
Name | n/d-grammic retroantiprismatic hemiantiprism |
© | |
Circumradius | 1/sqrt(2) = 0.707107 |
Vertex figure | © |
Lace city in approx. ASCII-art |
x-n/d-o o-n/d-x -- n/d-ap o-n/d-x x-n/d-o -- n/d-ap | +-- n/(n-d)-ap +-------------- n/(n-d)-ap |
Especially | hatho (n/d = 2) |
In November 2020 this series of non-convex scaliform polychora has been found, existing for any 2 < n/d < 3. The extremal case n/d = 2 (hatho) would exist as well and so conceptually would belong here too, but has a slightly different incidence matrix (because of degeneracy of the base). In the other extremal case n/d = 3 the height of the retroantiprism would become zero.
By means of this series scaliform polychora finally have shot up to infinity now too.
Its hull will be a digon - n-gon duoantiprism.
4n | 2 2 2 | 3 3 2 1 | 1 1 3 ---+----------+------------+------- 2 | 4n * * | 2 0 1 0 | 1 0 2 n/d-ap lacings 2 | * 4n * | 0 2 1 0 | 0 1 2 n/(n-d)-ap lacings 2 | * * 4n | 1 1 0 1 | 1 1 1 n/d-sides ---+----------+------------+------- 3 | 2 0 1 | 4n * * * | 1 0 1 n/d-ap triangles 3 | 0 2 1 | * 4n * * | 0 1 1 n/(n-d)-ap triangles 4 | 2 2 0 | * * 2n * | 0 0 2 n | 0 0 n | * * * 4 | 1 1 0 ---+----------+------------+------- 2n | 2n 0 2n | 2n 0 0 2 | 2 * * n/d-ap 2n | 0 2n 2n | 0 2n 0 2 | * 2 * n/(n-d)-ap 6 | 4 4 2 | 2 2 2 0 | * * 2n bobipyr
© 2004-2021 | top of page |