Acronym dawci, J90
Name disphenocingulum
 
 © ©    ©
Vertex figures [35], [34,4], [32,42]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
general polytopal classes:
johnson solids  
External
links
wikipedia   polytopewiki   mathworld   quickfur  

Below a is a root of 256a12-512a11-1664a10+3712a9+1552a8-6592a7+1248a6+4352a5-2024a4-944a3+672a2-24a-23=0. Further c2=1-a2 and (b-1/2)2=1-(c+d)2.


Incidence matrix according to Dynkin symbol

xxboao oaobxx&#xt   height(1,2) = height(5,6) = c = 0.641490
                             height(2,3) = height(4,5) = d = 0.151292
                             height(3,4) = e = 0.650006
                             a = 0.767131
                             b = 1.126483

o..... o.....     & | 4 * * | 1 2 1 0 0 0 0 | 2 2 0 0  [32,42]
.o.... .o....     & | * 8 * | 0 1 0 1 1 1 1 | 1 1 1 2  [34,4]
..o... ..o...     & | * * 4 | 0 0 1 0 0 2 2 | 0 2 1 2  [35]
--------------------+-------+---------------+--------
x..... ......     & | 2 0 0 | 2 * * * * * * | 2 0 0 0  polar, {4},{4}-edges
oo.... oo....&#x  & | 1 1 0 | * 8 * * * * * | 1 1 0 0
o.o... o.o...&#x  & | 1 0 1 | * * 4 * * * * | 0 2 0 0  inner spheno-edge
.x.... ......     & | 0 2 0 | * * * 4 * * * | 1 0 1 0  polar-parallel
.o..o. .o..o.&#x    | 0 2 0 | * * * * 4 * * | 0 0 0 2
.oo... .oo...&#x  & | 0 1 1 | * * * * * 8 * | 0 1 0 1  outer spheno-edge
.o.o.. .o.o..&#x  & | 0 1 1 | * * * * * * 8 | 0 0 1 1
--------------------+-------+---------------+--------
xx.... ......&#x  & | 2 2 0 | 1 2 0 1 0 0 0 | 4 * * *  {4}
ooo... ooo...&#x  & | 1 1 1 | 0 1 1 0 0 1 0 | * 8 * *  spheno-{3}
.x.o.. ......&#x  & | 0 2 1 | 0 0 0 1 0 0 2 | * * 4 *  {4}-adjacent {3}
.oo.o. .oo.o.&#x  & | 0 2 1 | 0 0 0 0 1 1 1 | * * * 8  {3}

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