Acronym | stacupe |
Name |
pentagrammic-cupola prism, stip atop 2pip |
Circumradius | sqrt(3-sqrt(5)) = 0.874032 |
Lace city in approx. ASCII-art |
x5/2o x5/2x -- stacu x5/2o x5/2x -- stacu | +- 2pip +-------- stip |
Face vector | 30, 65, 49, 14 |
Confer |
|
This segmentochoron provides a Grünbaumian bottom base.
As abstract polytope stacupe is isomorphic to pecupe, thereby replacing the pentagram by a pentagon and the {10/2} by a decagon, resp. stacu by pecu.
Incidence matrix according to Dynkin symbol
xx5/2ox xx&#x → height = sqrt((5+sqrt(5))/10) = 0.850651
(stip || 2pip)
o.5/2o. o. | 10 * | 2 1 2 0 0 0 | 1 2 2 1 2 0 0 0 | 1 1 2 1 0
.o5/2.o .o | * 20 | 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
--------------+-------+------------------+--------------------+----------
x. .. .. | 2 0 | 10 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0
.. .. x. | 2 0 | * 5 * * * * | 0 2 0 0 2 0 0 0 | 1 0 2 1 0
oo5/2oo oo&#x | 1 1 | * * 20 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 10 * * | 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * 10 * | 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * 10 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
--------------+-------+------------------+--------------------+----------
x.5/2o. .. | 5 0 | 5 0 0 0 0 0 | 2 * * * * * * * | 1 1 0 0 0
x. .. x. | 4 0 | 2 2 0 0 0 0 | * 5 * * * * * * | 1 0 1 0 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * 10 * * * * * | 0 1 1 0 0
.. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * 10 * * * * | 0 1 0 1 0
.. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * 10 * * * | 0 0 1 1 0
.x5/2.x .. | 0 10 | 0 0 0 5 5 0 | * * * * * 2 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * 5 * | 0 0 1 0 1
.. .x .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * 5 | 0 0 0 1 1
--------------+-------+------------------+--------------------+----------
x.5/2o. x. ♦ 10 0 | 10 5 0 0 0 0 | 2 5 0 0 0 0 0 0 | 1 * * * *
xx5/2ox ..&#x ♦ 5 10 | 5 0 10 5 5 0 | 1 0 5 5 0 1 0 0 | * 2 * * *
xx .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 2 0 2 0 1 0 | * * 5 * *
.. ox xx&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 2 2 0 0 1 | * * * 5 *
.x5/2.x .x ♦ 0 20 | 0 0 0 10 10 10 | 0 0 0 0 0 2 5 5 | * * * * 1
xx5/2ox&#x || xx5/2ox&#x → height = 1 (stacu || stacu) o.5/2o. || .. .. | 5 * * * | 2 2 1 0 0 0 0 0 0 0 | 1 2 1 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 .o5/2.o || .. .. | * 10 * * | 0 1 0 1 1 1 0 0 0 0 | 0 1 1 0 1 1 1 1 0 0 0 0 | 1 0 1 1 1 0 .. .. || o.5/2o. | * * 5 * | 0 0 1 0 0 0 2 2 0 0 | 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1 .. .. || .o5/2.o | * * * 10 | 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1 -------------------------+-----------+------------------------+--------------------------+------------ x. .. || .. .. | 2 0 0 0 | 5 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 oo5/2oo&#x || .. .. | 1 1 0 0 | * 10 * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 o.5/2o. || o.5/2o. | 1 0 1 0 | * * 5 * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 .x .. || .. .. | 0 2 0 0 | * * * 5 * * * * * * | 0 1 0 0 0 1 1 0 0 0 0 0 | 1 0 1 0 1 0 .. .x || .. .. | 0 2 0 0 | * * * * 5 * * * * * | 0 0 1 0 0 1 0 1 0 0 0 0 | 1 0 0 1 1 0 .o5/2.o || .o5/2.o | 0 1 0 1 | * * * * * 10 * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0 .. .. || x. .. | 0 0 2 0 | * * * * * * 5 * * * | 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 .. .. || oo5/2oo&#x | 0 0 1 1 | * * * * * * * 10 * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1 .. .. || .x .. | 0 0 0 2 | * * * * * * * * 5 * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1 .. .. || .. .x | 0 0 0 2 | * * * * * * * * * 5 | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1 -------------------------+-----------+------------------------+--------------------------+------------ x.5/2o. || .. .. | 5 0 0 0 | 5 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 1 1 0 0 0 0 xx ..&#x || .. .. | 2 2 0 0 | 1 2 0 1 0 0 0 0 0 0 | * 5 * * * * * * * * * * | 1 0 1 0 0 0 .. ox&#x || .. .. | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 | * * 5 * * * * * * * * * | 1 0 0 1 0 0 x. .. || x. .. | 2 0 2 0 | 1 0 2 0 0 0 1 0 0 0 | * * * 5 * * * * * * * * | 0 1 1 0 0 0 oo5/2oo&#x || oo5/2oo&#x | 1 1 1 1 | 0 1 1 0 0 1 0 1 0 0 | * * * * 10 * * * * * * * | 0 0 1 1 0 0 .x5/2.x || .. .. | 0 10 0 0 | 0 0 0 5 5 0 0 0 0 0 | * * * * * 1 * * * * * * | 1 0 0 0 1 0 .x .. || .x .. | 0 2 0 2 | 0 0 0 1 0 2 0 0 1 0 | * * * * * * 5 * * * * * | 0 0 1 0 1 0 .. .x || .. .x | 0 2 0 2 | 0 0 0 0 1 2 0 0 0 1 | * * * * * * * 5 * * * * | 0 0 0 1 1 0 .. .. || x.5/2o. | 0 0 5 0 | 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * 1 * * * | 0 1 0 0 0 1 .. .. || xx ..&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * 5 * * | 0 0 1 0 0 1 .. .. || .. ox&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * 5 * | 0 0 0 1 0 1 .. .. || .x5/2.x | 0 0 0 10 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * 1 | 0 0 0 0 1 1 -----------------------+-----------+------------------------+--------------------------+------------ xx5/2ox&#x || .. .. ♦ 5 10 0 0 | 5 10 0 5 5 0 0 0 0 0 | 1 5 5 0 0 1 0 0 0 0 0 0 | 1 * * * * * x.5/2o. || x.5/2o. ♦ 5 0 5 0 | 5 0 5 0 0 0 5 0 0 0 | 1 0 0 5 0 0 0 0 1 0 0 0 | * 1 * * * * xx ..&#x || xx ..&#x ♦ 2 2 2 2 | 1 2 2 1 0 2 1 2 1 0 | 0 1 0 1 2 0 1 0 0 1 0 0 | * * 5 * * * .. ox&#x || .. ox&#x ♦ 1 2 1 2 | 0 2 1 0 1 2 0 2 0 1 | 0 0 1 0 2 0 0 1 0 0 1 0 | * * * 5 * * .x5/2.x || .x5/2.x ♦ 0 10 0 10 | 0 0 0 5 5 10 0 0 5 5 | 0 0 0 0 0 1 5 5 0 0 0 1 | * * * * 1 * .. .. || xx5/2ox&#x ♦ 0 0 5 10 | 0 0 0 0 0 0 5 10 5 5 | 0 0 0 0 0 0 0 0 1 5 5 1 | * * * * * 1
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