Acronym ...
Name hyperbolic o3x:s3sPs honeycomb,
hyperbolic rectified x3o:s3sPs honeycomb
Circumradius ... i
Vertex figure s3sPs
Especially o3x:s3s4s (P=4 — compact)   o3x:s3s5s (P=5 — compact)   o3x:s3s6s (P=6 — paracompact)   o3x:s3sPs (P>6 — hypercompact)  
Confer
uniform relative:
x3o:s3sPs   x3x:s3sPs  

Incidence matrix according to symbol extension

o3x:s3sPs = rect( x3o:s3sPs )   (N,M → ∞)
            q = LCM(2,3,P)/6P

3PqNM |     2     4     4 |     3     2     2     6    2 |     4 1 2
------+-------------------+------------------------------+----------
    2 | 3PqNM     *     * |     1     0     2     0    0 |     2 0 1  underneath tips of former lacing trigs of 3pyrs
    2 |     * 6PqNM     * |     1     0     0     2    0 |     2 0 1  underneath base-vertex of former lacing trigs of 3pyrs
    2 |     *     * 6PqNM |     0     1     0     1    1 |     1 1 1  underneath vertices of other trigs
------+-------------------+------------------------------+----------
    3 |     1     2     0 | 3PqNM     *     *     *    * |     2 0 0  rect of former lacing trigs of 3pyrs
    3 |     0     0     3 |     * 2PqNM     *     *    * |     1 1 0  rect of former other trigs
    3 |     3     0     0 |     *     * 2PqNM     *    * |     1 0 1  underneath tip of former 3-pyr
    3 |     0     2     1 |     *     *     * 6PqNM    * |     1 0 1  underneath base-vertex of former 3-pyr
    P |     0     0     P |     *     *     *     * 6qNM |     0 1 1  underneath vertex of former x3oPo
------+-------------------+------------------------------+----------
    6 |     3     6     3 |     3     1     1     3    0 | 2PqNM * *  oct
 3PqM |     0     0  6PqM |     0  2PqM     0     0  6qM |     * N *  o3xPo
 6PqM |  3PqM  6PqM  6PqM |     0     0  2PqM  6PqM  6qM |     * * N  s3sPs

© 2004-2024
top of page