Acronym	aurap
Name	augmented rectified pentachoron
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	11, 36, 42, 17
Confer	segmentochora: rap   octpy   related CRFs: arse aurap   general polytopal classes: Blind polytopes   bistratic lace towers
External links

Note, that the vertex figure of the medial vertices here might look like being an autip, when considering their faces only. But vertex figures have always to be orbiform, and autip surely is not. In fact, those verfs are an object out of a trip and a squippy, being attached within 4D slightly folded.

Incidence matrix according to Dynkin symbol

oox3oxo3ooo&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                    height(2,3) = sqrt(5/8) = 0.790569
(pt || pseudo oct || tet)

o..3o..3o..    | 1 * * ♦ 6  0  0 0 | 12 0 0 0  0 0 | 4 4 0 0 0
.o.3.o.3.o.    | * 6 * | 1  4  2 0 |  4 2 2 1  4 0 | 2 2 2 2 0
..o3..o3..o    | * * 4 ♦ 0  0  3 3 |  0 0 0 3  3 3 | 0 0 3 1 1
---------------+-------+-----------+---------------+----------
oo.3oo.3oo.&#x | 1 1 0 | 6  *  * * |  4 0 0 0  0 0 | 2 2 0 0 0
... .x. ...    | 0 2 0 | * 12  * * |  1 1 1 0  1 0 | 1 1 1 1 0
.oo3.oo3.oo&#x | 0 1 1 | *  * 12 * |  0 0 0 1  2 0 | 0 0 2 1 0
..x ... ...    | 0 0 2 | *  *  * 6 |  0 0 0 1  0 2 | 0 0 2 0 1
---------------+-------+-----------+---------------+----------
... ox. ...&#x | 1 2 0 | 2  1  0 0 | 12 * * *  * * | 1 1 0 0 0
.o.3.x. ...    | 0 3 0 | 0  3  0 0 |  * 4 * *  * * | 1 0 1 0 0
... .x.3.o.    | 0 3 0 | 0  3  0 0 |  * * 4 *  * * | 0 1 0 1 0
.ox ... ...&#x | 0 1 2 | 0  0  2 1 |  * * * 6  * * | 0 0 2 0 0
... .xo ...&#x | 0 2 1 | 0  1  2 0 |  * * * * 12 * | 0 0 1 1 0
..x3..o ...    | 0 0 3 | 0  0  0 3 |  * * * *  * 4 | 0 0 1 0 1
---------------+-------+-----------+---------------+----------
oo.3ox. ...&#x ♦ 1 3 0 | 3  3  0 0 |  3 1 0 0  0 0 | 4 * * * *
... ox.3oo.&#x ♦ 1 3 0 | 3  3  0 0 |  3 0 1 0  0 0 | * 4 * * *
.ox3.xo ...&#x ♦ 0 3 3 | 0  3  6 3 |  0 1 0 3  3 1 | * * 4 * *
... .xo3.oo&#x ♦ 0 3 1 | 0  3  3 0 |  0 0 1 0  3 0 | * * * 4 *
..x3..o3..o    ♦ 0 0 4 | 0  0  0 6 |  0 0 0 0  0 4 | * * * * 1