Acronym gudap (old: gedap)
Name great duoantiprism,
(old: great double antiprism)
(but not: great antiprism)
Cross sections
 ©
Circumradius 1
Vertex figure
 ©
Confer
uniform relatives:
sishi   distadedip  
compounds:
ditsop  
External
links
hedrondude   wikipedia

As abstract polytope gudap is automorph, thereby interchanging the roles of pentagons and pentagrams, resp. those of pap and starp.

Besides of s2s2s2s (hex, the alternated vertex faceting of tes) this is the only other possible alternated vertex faceting of an (omnitruncated) duoprism, which can be made uniform.

Alternatively it can be obtained as a subsymmetrical faceting of sishi. Note that its edge skeleton supports not only sissid or gike cells, but also gad or ike cells. Therefore choose from sishi any single ring of 10 sissids. That then well could be replaced by a ring of starps. The then open faces could be closed by a complemental ring of 10 paps – up to some "glue" of 50 tets.


Incidence matrix according to Dynkin symbol

s5s2s5/3s

demi( . . .   . ) | 50 |  1  1  1  1  2  2 |  1  1  3  3  3  3 | 1 1 1 1  4
------------------+----+-------------------+-------------------+-----------
      s 2 s   .   |  2 | 25  *  *  *  *  * |  0  0  2  0  2  0 | 1 0 1 0  2
      s . 2   s   |  2 |  * 25  *  *  *  * |  0  0  0  2  2  0 | 0 1 1 0  2
      . s2s   .   |  2 |  *  * 25  *  *  * |  0  0  2  0  0  2 | 1 0 0 1  2
      . s 2   s   |  2 |  *  *  * 25  *  * |  0  0  0  2  0  2 | 0 1 0 1  2
sefa( s5s .   . ) |  2 |  *  *  *  * 50  * |  1  0  1  1  0  0 | 1 1 0 0  1
sefa( . . s5/3s ) |  2 |  *  *  *  *  * 50 |  0  1  0  0  1  1 | 0 0 1 1  1
------------------+----+-------------------+-------------------+-----------
      s5s .   .   |  5 |  0  0  0  0  5  0 | 10  *  *  *  *  * | 1 1 0 0  0
      . . s5/3s   |  5 |  0  0  0  0  0  5 |  * 10  *  *  *  * | 0 0 1 1  0
sefa( s5s2s   . ) |  3 |  1  0  1  0  1  0 |  *  * 50  *  *  * | 1 0 0 0  1
sefa( s5s 2   s ) |  3 |  0  1  0  1  1  0 |  *  *  * 50  *  * | 0 1 0 0  1
sefa( s 2 s5/3s ) |  3 |  1  1  0  0  0  1 |  *  *  *  * 50  * | 0 0 1 0  1
sefa( . s2s5/3s ) |  3 |  0  0  1  1  0  1 |  *  *  *  *  * 50 | 0 0 0 1  1
------------------+----+-------------------+-------------------+-----------
      s5s2s   .    10 |  5  0  5  0 10  0 |  2  0 10  0  0  0 | 5 * * *  *
      s5s 2   s    10 |  0  5  0  5 10  0 |  2  0  0 10  0  0 | * 5 * *  *
      s 2 s5/3s    10 |  5  5  0  0  0 10 |  0  2  0  0 10  0 | * * 5 *  *
      . s2s5/3s    10 |  0  0  5  5  0 10 |  0  2  0  0  0 10 | * * * 5  *
sefa( s5s2s5/3s )   4 |  1  1  1  1  1  1 |  0  0  1  1  1  1 | * * * * 50
or
demi( . . .   . )   | 50 |   4  2  2 |  1  1   6   6 |  2  2  4
--------------------+----+-----------+---------------+---------
      s 2 s   .   & |  2 | 100  *  * |  0  0   2   2 |  1  1  2
sefa( s5s .   . )   |  2 |   * 50  * |  1  0   2   0 |  2  0  1
sefa( . . s5/3s )   |  2 |   *  * 50 |  0  1   0   2 |  0  2  1
--------------------+----+-----------+---------------+---------
      s5s .   .     |  5 |   0  5  0 | 10  *   *   * |  2  0  0
      . . s5/3s     |  5 |   0  0  5 |  * 10   *   * |  0  2  0
sefa( s5s2s   . ) & |  3 |   2  1  0 |  *  * 100   * |  1  0  1
sefa( s 2 s5/3s ) & |  3 |   2  0  1 |  *  *   * 100 |  0  1  1
--------------------+----+-----------+---------------+---------
      s5s2s   .   &  10 |  10 10  0 |  2  0  10   0 | 10  *  *
      s 2 s5/3s   &  10 |  10  0 10 |  0  2   0  10 |  * 10  *
sefa( s5s2s5/3s )     4 |   4  1  1 |  0  0   2   2 |  *  * 50

starting figure: x5x x5/3x

© 2004-2018
top of page