Acronym | dutip |
Name |
truncated-pentachoron dual, apiculated pentachoron |
© | |
Inradius | 3/sqrt(160) = 0.237171 |
Dual | tip |
This polychoron can be obtained as the convex hull of 2 mutually dual pens of according ratio c:x = 3/7. For this polychoron all the edges of the larger pen, x, remain as long ones, while its short ones, y, come in as lacings between the 2 vertex set members. Each cell then adjoins one vertex of that smaller pen to one of the nearby triangles of the larger one.
Incidence matrix according to Dynkin symbol
m3m3o3o = co3oo3oo3ox&#zy → height = 0 c = 3/7 = 0.428571 y = sqrt(19)/7 = 0.622700 o.3o.3o.3o. | 5 * ♦ 4 0 | 6 0 | 4 .o3.o3.o3.o | * 5 ♦ 4 4 | 12 6 | 12 ---------------+-----+-------+-------+--- oo3oo3oo3oo&#y | 1 1 | 20 * | 3 0 | 3 y .. .. .. .x | 0 2 | * 10 | 3 3 | 6 x ---------------+-----+-------+-------+--- .. .. .. ox&#y | 1 2 | 2 1 | 30 * | 2 .. .. .o3.x | 0 3 | 0 3 | * 10 | 2 ---------------+-----+-------+-------+--- .. .. oo3ox&#y | 1 3 | 3 3 | 3 1 | 20
© 2004-2019 | top of page |