Acronym | ..., {5} || perp {5/2} |
Name | (degenerate) pentagon atop fully perpendicular pentagram |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 10, 35, 52, 35, 10 |
Confer |
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It either can be thought of as a degenerate 5D segmentotope with zero height as in here, or as a 4D tegum product of the formers bases, cf. stapedit.
As abstract polytope {5} || perp {5/2} is automorph, thereby just interchanging the roles of the bases.
Incidence matrix according to Dynkin symbol
ox5oo xo5/2oo&#x → height = 0
({5} || perp {5/2})
o.5o. o.5/2o. | 5 * | 2 5 0 | 1 5 10 0 | 1 10 5 | 2 5
.o5.o .o5/2.o | * 5 | 0 5 2 | 0 10 5 1 | 5 10 1 | 5 2
-----------------+-----+--------+-----------+--------+----
.. .. x. .. | 2 0 | 5 * * | 1 0 5 0 | 0 5 5 | 1 5
oo5oo oo5/2oo&#x | 1 1 | * 25 * | 0 2 2 0 | 1 4 1 | 2 2
.x .. .. .. | 0 2 | * * 5 | 0 5 0 1 | 5 5 0 | 5 1
-----------------+-----+--------+-----------+--------+----
.. .. x.5/2o. | 5 0 | 5 0 0 | 1 * * * | 0 0 5 | 0 5
ox .. .. ..&#x | 1 2 | 0 2 1 | * 25 * * | 1 2 0 | 2 1
.. .. xo ..&#x | 2 1 | 1 2 0 | * * 25 * | 0 2 1 | 1 2
.x5.o .. .. | 0 5 | 0 0 5 | * * * 1 | 5 0 0 | 5 0
-----------------+-----+--------+-----------+--------+----
ox5oo .. ..&#x ♦ 1 5 | 0 5 5 | 0 5 0 1 | 5 * * | 2 0
ox .. xo ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 25 * | 1 1
.. .. xo5/2oo&#x ♦ 5 1 | 5 5 0 | 1 0 5 0 | * * 5 | 0 2
-----------------+-----+--------+-----------+--------+----
ox5oo xo ..&#x ♦ 2 5 | 1 10 5 | 0 10 5 1 | 2 5 0 | 5 *
ox .. xo5/2oo&#x ♦ 5 2 | 5 10 1 | 1 5 10 0 | 0 5 2 | * 5
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