Acronym stap
TOCID symbol (5/2)Q
Name stellar antiprism,
5/2-antiprism
 
 © ©
Circumradius sqrt[(15+sqrt(5))/40] = 0.656431
Vertex figure [33,5/2]
Confer
more general:
n2-ap   nd-ap  
compounds:
sassid   sadsid  
general polytopal classes:
segmentohedra  
External
links
wikipedia   WikiChoron

Incidence matrix according to Dynkin symbol

s2s5/2s

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

starting figure: x x5/2x

β2β5o

both( . . .   ) | 10 | 1 1  2 | 1  3
----------------+----+--------+-----
      s2s . (r) |  2 | 5 *  * | 0  2
      s2s . (l) |  2 | * 5  * | 0  2
sefa( . β5o   ) |  2 | * * 10 | 1  1
----------------+----+--------+-----
      . β5o   )   5 | 0 0  5 | 2  *
sefa( β2β5o   ) |  3 | 1 1  1 | * 10
or
both( . . . ) | 10 |  2  2 | 1  3
--------------+----+-------+-----
both( s2s . ) |  2 | 10  * | 0  2
sefa( . β5o ) |  2 |  * 10 | 1  1
--------------+----+-------+-----
      . β5o     5 |  0  5 | 2  *
sefa( β2β5o ) |  3 |  2  1 | * 10

starting figure: x x5o

xo5/2ox&#x   → height = sqrt[(sqrt(5)-1)/2] = 0.786151
({5/2} || {5/2} with crossed lacings)

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

© 2004-2019
top of page