Acronym quittin
Name quasitruncated penteract
Field of sections
 ©
Circumradius sqrt[13-8 sqrt(2)]/2 = 0.649286
Inradius
wrt. quitit
[sqrt(2)-1]/2 = 0.207107
Inradius
wrt. pen
(5-4 sqrt(2))/sqrt(20) = -0.146877
Vertex figure
 ©
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Volume (1230-869 sqrt(2))/30 = 0.034947
Face vector 160, 400, 400, 200, 42
Confer
analogs:
quasitruncated hypercube qtCn  
External
links
hedrondude   polytopewiki  

As abstract polytope quittin is isomorphic to tan, thereby replacing octagrams by octagons, resp. quith by tic, resp. quitit by tat.

Note that the tets and pens become retrograde here.


Incidence matrix according to Dynkin symbol

o3o3o3x4/3x

. . . .   . | 160 |   4  1 |   6  4 |   4  6 |  1  4
------------+-----+--------+--------+--------+------
. . . x   . |   2 | 320  * |   3  1 |   3  3 |  1  3
. . . .   x |   2 |   * 80    0  4 |   0  6 |  0  4
------------+-----+--------+--------+--------+------
. . o3x   . |   3 |   3  0 | 320  * |   2  1 |  1  2
. . . x4/3x |   8 |   4  4 |   * 80 |   0  3 |  0  3
------------+-----+--------+--------+--------+------
. o3o3x   .    4 |   6  0 |   4  0 | 160  * |  1  1
. . o3x4/3x   24 |  24 12 |   8  6 |   * 40 |  0  2
------------+-----+--------+--------+--------+------
o3o3o3x   .    5 |  10  0 |  10  0 |   5  0 | 32  *
. o3o3x4/3x   64 |  96 32 |  64 24 |  16  8 |  * 10

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