Acronym	gaje (old: gaj, older: gij)
Name	great icosiheptaheptacontidipeton
Cross sections	©
Circumradius	sqrt(2/3) = 0.816497
General of army	jak
Colonel of regiment	jak
Dual	(selfdual)
Face vector	27, 216, 990, 990, 216, 27
Confer	general polytopal classes: noble polytopes
External links

This polypeton belongs to the regiment of jak, but can well be obtained as a reduction of the Grünbaumian o3x3/2o3x3o *c3o, the conjugate of barm.

Incidence matrix

27 |  16 |  80  40 |  60 160 |  80 | 16
---+-----+---------+---------+-----+---
 2 | 216 |  10   5 |  15  30 |  30 | 10
---+-----+---------+---------+-----+---
 3 |   3 | 720   * ♦   3   2 |   9 |  6
 4 |   4 |   * 270 ♦   0   8 |  12 |  6
---+-----+---------+---------+-----+---
 6 |  12 |   8   0 | 270   * |   4 |  4  oct
 6 |   9 |   2   3 |   * 720 |   3 |  3  trip
---+-----+---------+---------+-----+---
10 |  30 |  30  15 |   5  10 | 216 |  2  pinnip
---+-----+---------+---------+-----+---
16 |  80 | 160  60 |  40  80 |  16 | 27  hit