Acronym thina
Name thin alterprism,
medial segment of sirhax
Circumradius sqrt(15)/2 = 1.936492
Lace city
in approx. ASCII-art
t u U T		-- x3x3o *b3o3o (thin)
T U u t		-- o3x3x *b3o3o (alt. thin)

where:
t = x3x3o *b3o (thex)
T = o3x3x *b3o (gyro thex)
u = u3o3x *b3o ((u,x)-rit)
U = x3o3u *b3o ((x,u)-rit)
Face vector 320, 1440, 2080, 1280, 364, 44
Confer
uniform relative:
sirhax  
general polytopal classes:
segmentopeta   lace simplices   scaliform  

Incidence matrix according to Dynkin symbol

xo3xx3ox *b3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(thin || alt. thin)

o.3o.3o. *b3o.3o.    & | 320 |   2   6   2 |   6   3   6   3   6 |  3   6   3   2   9  1   6 |  3  2  1  3   9  2 | 1  3  3
-----------------------+-----+-------------+---------------------+---------------------------+--------------------+--------
x. .. ..    .. ..    & |   2 | 160   *   * |   6   0   0   2   0 |  3   6   0   0   6  1   0 |  3  2  0  3   6  0 | 1  3  2
.. x. ..    .. ..    & |   2 |   * 960   * |   1   1   2   0   1 |  1   2   2   1   2  0   2 |  2  1  1  1   4  1 | 1  2  2
oo3oo3oo *b3oo3oo&#x   |   2 |   *   * 320 |   0   0   0   2   3 |  0   0   0   0   6  1   3 |  0  0  0  3   6  1 | 0  3  2
-----------------------+-----+-------------+---------------------+---------------------------+--------------------+--------
x.3x. ..    .. ..    & |   6 |   3   3   0 | 320   *   *   *   * |  1   2   0   0   1  0   0 |  2  1  0  1   2  0 | 1  2  1
.. x.3o.    .. ..    & |   3 |   0   3   0 |   * 320   *   *   * |  1   0   2   0   1  0   0 |  2  0  1  1   2  0 | 1  2  1
.. x. .. *b3o. ..    & |   3 |   0   3   0 |   *   * 640   *   * |  0   1   1   1   0  0   1 |  1  1  1  0   2  1 | 1  1  2
xo .. ..    .. ..&#x & |   3 |   1   0   2 |   *   *   * 320   * |  0   0   0   0   3  1   0 |  0  0  0  3   3  0 | 0  3  1
.. xx ..    .. ..&#x   |   4 |   0   2   2 |   *   *   *   * 480 |  0   0   0   0   2  0   2 |  0  0  0  1   4  1 | 0  2  2
-----------------------+-----+-------------+---------------------+---------------------------+--------------------+--------
x.3x.3o.    .. ..    &   12 |   6  12   0 |   4   4   0   0   0 | 80   *   *   *   *  *   * |  2  0  0  1   0  0 | 1  2  0
x.3x. .. *b3o. ..    &   12 |   6  12   0 |   4   0   4   0   0 |  * 160   *   *   *  *   * |  1  1  0  0   1  0 | 1  1  1
.. x.3o. *b3o. ..    &    6 |   0  12   0 |   0   4   4   0   0 |  *   * 160   *   *  *   * |  1  0  1  0   1  0 | 1  1  1
.. x. .. *b3o.3o.    &    4 |   0   6   0 |   0   0   4   0   0 |  *   *   * 160   *  *   * |  0  1  1  0   0  1 | 1  0  2
xo3xx ..    .. ..&#x &    9 |   3   6   6 |   1   1   0   3   3 |  *   *   *   * 320  *   * |  0  0  0  1   2  0 | 0  2  1
xo .. ox    .. ..&#x      4 |   2   0   4 |   0   0   0   4   0 |  *   *   *   *   * 80   * |  0  0  0  3   0  0 | 0  3  0
.. xx .. *b3oo ..&#x      6 |   0   6   3 |   0   0   2   0   3 |  *   *   *   *   *  * 320 |  0  0  0  0   2  1 | 0  1  2
-----------------------+-----+-------------+---------------------+---------------------------+--------------------+--------
x.3x.3o. *b3o. ..    &   48 |  24  96   0 |  32  32  32   0   0 |  8   8   8   0   0  0   0 | 20  *  *  *   *  * | 1  1  0
x.3x. .. *b3o.3o.    &   20 |  10  30   0 |  10   0  20   0   0 |  0   5   0   5   0  0   0 |  * 32  *  *   *  * | 1  0  1
.. x.3o. *b3o.3o.    &   10 |   0  30   0 |   0  10  20   0   0 |  0   0   5   5   0  0   0 |  *  * 32  *   *  * | 1  0  1
xo3xx3ox    .. ..&#x     24 |  12  24  24 |   8   8   0  24  12 |  2   0   0   0   8  6   0 |  *  *  * 40   *  * | 0  2  0
xo3xx .. *b3oo ..&#x &   18 |   6  24  12 |   4   4   8   6  12 |  0   1   1   0   4  0   4 |  *  *  *  * 160  * | 0  1  1
.. xx .. *b3oo3oo&#x      8 |   0  12   4 |   0   0   8   0   6 |  0   0   0   2   0  0   4 |  *  *  *  *   * 80 | 0  0  2
-----------------------+-----+-------------+---------------------+---------------------------+--------------------+--------
x.3x.3o. *b3o.3o.    &  160 |  80 480   0 | 160 160 320   0   0 | 40  80  80  80   0  0   0 | 10 16 16  0   0  0 | 2  *  *
xo3xx3ox *b3oo ..&#x     96 |  48 192  96 |  64  64  64  96  96 | 16  16  16   0  64 24  32 |  2  0  0  8  16  0 | * 10  *
xo3xx .. *b3oo3oo&#x &   30 |  10  60  20 |  10  10  40  10  30 |  0   5   5  10  10  0  20 |  0  1  1  0   5  5 | *  * 32

© 2004-2025
top of page