Acronym | tispid |
Name | truncated small prismated decachoron |
Circumradius | sqrt(y2+3y+3) |
Face vector | 120, 300, 230, 50 |
Confer | |
External links |
Truncation would result in 3 different edge sizes in the outcome isohedral polychoron. That one here is scaled such so that the shorter specified one becomes unity. Then the larger specified edge will have size q=sqrt(2). The third one would be the arbitrary expansion size y (wrt. the rectified extremum, i.e. corresponding to the arbitrary truncation depth). In fact, for y=0 this results again in respid, while y → ∞ results again in the pre-image spid (rescaled back down accordingly).
Incidence matrix according to Dynkin symbol
by3ox3xo3yb&#zq → height = 0 y > 0 (depending on truncation depth) b = y+2 (pseudo) (q-laced tegum sum of 2 inverted (b,x,y)-prips) o.3o.3o.3o. & | 120 | 2 1 2 | 1 2 2 3 | 1 3 1 ------------------+-----+------------+--------------+--------- .. .. x. .. & | 2 | 120 * * | 1 1 0 1 | 1 1 1 x .. .. .. y. & | 2 | * 60 * | 0 2 2 0 | 1 3 0 y oo3oo3oo3oo&#q | 2 | * * 120 | 0 0 1 2 | 0 2 1 q ------------------+-----+------------+--------------+--------- .. o.3x. .. & | 3 | 3 0 0 | 40 * * * | 1 0 1 x-{3} .. .. x.3y. & | 6 | 3 3 0 | * 40 * * | 1 1 0 (x,y)-{6} by .. .. yb&#zq | 8 | 0 4 4 | * * 30 * | 0 2 0 (y,q)-{8} .. ox .. ..&#q & | 3 | 1 0 2 | * * * 120 | 0 1 1 xqq ------------------+-----+------------+--------------+--------- .. o.3x.3y. & | 12 | 12 6 0 | 4 4 0 0 | 10 * * (x,y)-tut by3ox .. yb&#zq & | 18 | 6 9 12 | 0 2 3 6 | * 20 * titrip .. ox3xo ..&#q | 6 | 6 0 6 | 2 0 0 6 | * * 20 tall (x,q)-3ap
© 2004-2024 | top of page |