Acronym stappip
Name pentagramic-antiprism prism
 
 ©
Circumradius sqrt[(25+sqrt(5))/40] = 0.825168
Lace city
in approx. ASCII-art
x5/2o   x5/2o	-- x x5/2o (stip)
             
             
o5/2x   o5/2x	-- x o5/2x (gyro stip †)

  |       |
  |       +-- s2s5/2s (stap)
  +---------- s2s5/2s (stap)
Confer
general antiprism-prisms:
n/d-appip  
general polytopal classes:
segmentochora  
External
links
hedrondude   wikipedia   polytopewiki  

† Just as in stap x5/2o and o5/2x had in effect the very same orientation (but X-shaped lacings), the mutual gyration of the stips results here too in an alignment of effectively the same orientation above each other. Only the respective displacement happens to be a bit narrower than that of a mere straight prism stacking.


Incidence matrix according to Dynkin symbol

x s2s5/2s

. demi( . .   . ) | 20 |  1  1  1  2 | 1 1  2 1  3 | 1  3 1
------------------+----+-------------+-------------+-------
x demi( . .   . ) |  2 | 10  *  *  * | 1 1  2 0  0 | 1  3 0
.       s2s   .   |  2 |  * 10  *  * | 1 0  0 0  2 | 0  2 1
.       s  2  s   |  2 |  *  * 10  * | 0 1  0 0  2 | 0  2 1
. sefa( . s5/2s ) |  2 |  *  *  * 20 | 0 0  1 1  1 | 1  1 1
------------------+----+-------------+-------------+-------
x       s2s   .   |  4 |  2  2  0  0 | 5 *  * *  * | 0  2 0
x       s  2  s   |  4 |  2  0  2  0 | * 5  * *  * | 0  2 0
x sefa( . s5/2s ) |  4 |  2  0  0  2 | * * 10 *  * | 1  1 0
.       . s5/2s     5 |  0  0  0  5 | * *  * 4  * | 1  0 1
. sefa( s2s5/2s ) |  3 |  0  1  1  1 | * *  * * 20 | 0  1 1
------------------+----+-------------+-------------+-------
x       . s5/2s    10 |  5  0  0 10 | 0 0  5 2  0 | 2  * *
x sefa( s2s5/2s )   6 |  3  2  2  2 | 1 1  1 0  2 | * 10 *
.       s2s5/2s    10 |  0  5  5 10 | 0 0  0 2 10 | *  * 2

xx xo5/2ox&#x     → height = sqrt[(sqrt(5)-1)/2] = 0.786151
(stip || gyro stip)

o. o.5/2o.    | 10  * | 1  2  2 0  0 | 2 1  2  2  1 0 0 | 1 2 1 1 0
.o .o5/2.o    |  * 10 | 0  0  2 1  2 | 0 0  2  1  2 2 1 | 0 1 2 1 1
--------------+-------+--------------+------------------+----------
x. ..   ..    |  2  0 | 5  *  * *  * | 2 0  2  0  0 0 0 | 1 2 1 0 0
.. x.   ..    |  2  0 | * 10  * *  * | 1 1  0  1  0 0 0 | 1 1 0 1 0
oo oo5/2oo&#x |  1  1 | *  * 20 *  * | 0 0  1  1  1 0 0 | 0 1 1 1 0
.x ..   ..    |  0  2 | *  *  * 5  * | 0 0  2  0  0 2 0 | 0 1 2 0 1
.. ..   .x    |  0  2 | *  *  * * 10 | 0 0  0  0  1 1 1 | 0 0 1 1 1
--------------+-------+--------------+------------------+----------
x. x.   ..    |  4  0 | 2  2  0 0  0 | 5 *  *  *  * * * | 1 1 0 0 0
.. x.5/2o.    |  5  0 | 0  5  0 0  0 | * 2  *  *  * * * | 1 0 0 1 0
xx ..   ..&#x |  2  2 | 1  0  2 1  0 | * * 10  *  * * * | 0 1 1 0 0
.. xo   ..&#x |  2  1 | 0  1  2 0  0 | * *  * 10  * * * | 0 1 0 1 0
.. ..   ox&#x |  1  2 | 0  0  2 0  1 | * *  *  * 10 * * | 0 0 1 1 0
.x ..   .x    |  0  4 | 0  0  0 2  2 | * *  *  *  * 5 * | 0 0 1 0 1
.. .o5/2.x    |  0  5 | 0  0  0 0  5 | * *  *  *  * * 2 | 0 0 0 1 1
--------------+-------+--------------+------------------+----------
x. x.5/2o.     10  0 | 5 10  0 0  0 | 5 2  0  0  0 0 0 | 1 * * * *
xx xo   ..&#x   4  2 | 2  2  4 1  0 | 1 0  2  2  0 0 0 | * 5 * * *
xx ..   ox&#x   2  4 | 1  0  4 2  2 | 0 0  2  0  2 1 0 | * * 5 * *
.. xo5/2ox&#x   5  5 | 0  5 10 0  5 | 0 1  0  5  5 0 1 | * * * 2 *
.x .o5/2.x      0 10 | 0  0  0 5 10 | 0 0  0  0  0 5 2 | * * * * 1

s2s5/2s || s2s5/2s   → height = 1
(stap || stap)

demi( . .   . )                   | 10  * | 1 1  2  1 0 0  0 | 1  3 1 1  2 0  0 | 1 1  3 0
                  demi( . .   . ) |  * 10 | 0 0  0  1 1 1  2 | 0  0 1 1  2 1  3 | 0 1  3 1
----------------------------------+-------+------------------+------------------+---------
      s2s   .                     |  2  0 | 5 *  *  * * *  * | 0  2 1 0  0 0  0 | 1 0  1 0
      s  2  s                     |  2  0 | * 5  *  * * *  * | 0  2 0 1  0 0  0 | 1 0  1 0
sefa( . s5/2s )                   |  2  0 | * * 10  * * *  * | 1  1 0 0  1 0  0 | 1 1  1 0
demi( . .   . ) || demi( . .   . ) |  1  1 | * *  * 10 * *  * | 0  0 1 1  2 0  0 | 0 1  3 0
                        s2s   .   |  0  2 | * *  *  * 5 *  * | 0  0 1 0  0 0  2 | 0 0  2 1
                        s  2  s   |  0  2 | * *  *  * * 5  * | 0  0 0 1  0 0  2 | 0 0  2 1
                  sefa( . s5/2s ) |  0  2 | * *  *  * * * 10 | 0  0 0 0  1 1  1 | 0 1  1 1
----------------------------------+-------+------------------+------------------+---------
      . s5/2s                       5  0 | 0 0  5  0 0 0  0 | 2  * * *  * *  * | 1 1  0 0
sefa( s2s5/2s )                   |  3  0 | 1 1  1  0 0 0  0 | * 10 * *  * *  * | 1 0  1 0
      s2s   .   ||       s2s   .   |  2  2 | 1 0  0  2 1 0  0 | *  * 5 *  * *  * | 0 0  2 0
      s  2  s   ||       s  2  s   |  2  2 | 0 1  0  2 0 1  0 | *  * * 5  * *  * | 0 0  2 0
sefa( . s5/2s ) || sefa( . s5/2s ) |  2  2 | 0 0  1  2 0 0  1 | *  * * * 10 *  * | 0 1  1 0
                        . s5/2s     0  5 | 0 0  0  0 0 0  5 | *  * * *  * 2  * | 0 1  0 1
                  sefa( s2s5/2s ) |  0  3 | 0 0  0  0 1 1  1 | *  * * *  * * 10 | 0 0  1 1
----------------------------------+-------+------------------+------------------+---------
      s2s5/2s                      10  0 | 5 5 10  0 0 0  0 | 2 10 0 0  0 0  0 | 1 *  * *
      . s5/2s   ||       . s5/2s     5  5 | 0 0  5  5 0 0  5 | 1  0 0 0  5 1  0 | * 2  * *
sefa( s2s5/2s ) || sefa( s2s5/2s )   3  3 | 1 1  1  3 1 1  1 | 0  1 1 1  1 0  1 | * * 10 *
                        s2s5/2s     0 10 | 0 0  0  0 5 5 10 | 0  0 0 0  0 2 10 | * *  * 1

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