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
Confer
analogs:
quasitruncated hypercube qtCn  
External
links
hedrondude   polytopewiki  

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

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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