Acronym aurap
Name augmented rectified pentachoron
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
segmentochora:
rap   octpy  
related CRFs:
arse aurap  
general polytopal classes:
Blind polytopes   bistratic lace towers  

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

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