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

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