Acronym apid (alt.: bamid)
Name antiprismatodecachoron,
biambodecachoron,
triangle based biambodecachoron
Net
 ©
Circumradius sqrt(3/5) = 0.774597
Confer
general polytopal classes:
isogonal  
External
links
hedrondude   polytopewiki  

Rectification, when applicable, results in using a specific point on each edge. Ambification simplifies that by using the midpoint always. Birectification, when applicable, results in using a specific point on each face. Biambification accordingly simplifies that by using the respective centerpoint. But the decachoron uses 2 types of faces, whereas only the trigonal ones do contribute, while the hexagonal ones do not contribute in these isogonal polychoron. (In fact, else it won't be isogonal any more.)

Note that the similar hull of the centers of the hexagons of deca would simply reproduce the topology of spid: each tut provides an inscribed tet, then in expanded position.


Incidence matrix according to Dynkin symbol

oo3xo3ox3oo&#zy   → height = 0
                    y = sqrt(2/5) = 0.632456
(tegum sum of 2 inverted raps)

o.3o.3o.3o.    | 10  * |  6  3  0 |  6  6  3  0 | 2  6 0
.o3.o3.o3.o    |  * 10 |  0  3  6 |  0  3  6  6 | 0  6 2
---------------+-------+----------+-------------+-------
.. x. .. ..    |  2  0 | 30  *  * |  2  1  0  0 | 1  2 0
oo3oo3oo3oo&#y |  1  1 |  * 30  * |  0  2  2  0 | 0  4 0
.. .. .x ..    |  0  2 |  *  * 30 |  0  0  1  2 | 0  2 1
---------------+-------+----------+-------------+-------
.. x.3o. ..    |  3  0 |  3  0  0 | 20  *  *  * | 1  1 0
.. xo .. ..&#y |  2  1 |  1  2  0 |  * 30  *  * | 0  2 0
.. .. ox ..&#y |  1  2 |  0  2  1 |  *  * 30  * | 0  2 0
.. .o3.x ..    |  0  3 |  0  0  3 |  *  *  * 20 | 0  1 1
---------------+-------+----------+-------------+-------
.. x.3o.3o.    |  4  0 |  6  0  0 |  4  0  0  0 | 5  * *  tet
.. xo3ox ..&#y |  3  3 |  3  6  3 |  1  3  3  1 | * 20 *  (x,y)-3ap
.o3.o3.x ..    |  0  4 |  0  0  6 |  0  0  0  4 | *  * 5  tet
or
o.3o.3o.3o.    & | 20 |  6  3 |  6  9 |  2  6
-----------------+----+-------+-------+------
.. x. .. ..    & |  2 | 60  * |  2  1 |  1  2
oo3oo3oo3oo&#y   |  2 |  * 30 |  0  4 |  0  4
-----------------+----+-------+-------+------
.. x.3o. ..    & |  3 |  3  0 | 40  * |  1  1
.. xo .. ..&#y & |  3 |  1  2 |  * 60 |  0  2
-----------------+----+-------+-------+------
.. x.3o.3o.    & |  4 |  6  0 |  4  0 | 10  *  tet
.. xo3ox ..&#y   |  6 |  6  6 |  2  6 |  * 20  (x,y)-3ap

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