Acronym tispid
Name truncated small prismated decachoron
Circumradius sqrt(y2+3y+3)
Face vector 120, 300, 230, 50
Confer
extremal cases:
spid   respid  
general polytopal classes:
isogonal  
External
links
polytopewiki  

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

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