Acronym	hawmco, J89
Name	hebesphenomegacorona
	© ©
Vertex figures	[35], [34,4], [32,42]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	14, 33, 21
Confer	general polytopal classes: Johnson solids
External links

Incidence matrix

4 * * * * | 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0  [32,42]
* 2 * * * | 0 0 2 0 2 1 0 0 0 0 0 | 0 1 0 2 2 0 0 0  [35]
* * 4 * * | 0 0 0 1 1 0 1 1 1 0 0 | 0 0 1 1 1 1 1 0  [34,4]
* * * 2 * | 0 0 0 0 0 1 0 2 0 2 0 | 0 0 0 0 2 0 2 1  [35]
* * * * 2 | 0 0 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 1 2 2  [35]
----------+-----------------------+----------------
2 0 0 0 0 | 2 * * * * * * * * * * | 1 1 0 0 0 0 0 0  top edge orthogonal to bottom one
2 0 0 0 0 | * 2 * * * * * * * * * | 1 0 1 0 0 0 0 0  top edge parallel to bottom one
1 1 0 0 0 | * * 4 * * * * * * * * | 0 1 0 1 0 0 0 0
1 0 1 0 0 | * * * 4 * * * * * * * | 0 0 1 1 0 0 0 0
0 1 1 0 0 | * * * * 4 * * * * * * | 0 0 0 1 1 0 0 0
0 1 0 1 0 | * * * * * 2 * * * * * | 0 0 0 0 2 0 0 0  meridian edge
0 0 2 0 0 | * * * * * * 2 * * * * | 0 0 1 0 0 1 0 0  equatorial edge
0 0 1 1 0 | * * * * * * * 4 * * * | 0 0 0 0 1 0 1 0
0 0 1 0 1 | * * * * * * * * 4 * * | 0 0 0 0 0 1 1 0
0 0 0 1 1 | * * * * * * * * * 4 * | 0 0 0 0 0 0 1 1
0 0 0 0 2 | * * * * * * * * * * 1 | 0 0 0 0 0 0 0 2  bottom edge
----------+-----------------------+----------------
4 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 | 1 * * * * * * *  top {4}
2 1 0 0 0 | 1 0 2 0 0 0 0 0 0 0 0 | * 2 * * * * * *  upper spheno-{3}
2 0 2 0 0 | 0 1 0 2 0 0 1 0 0 0 0 | * * 2 * * * * *  latteral {4}
1 1 1 0 0 | 0 0 1 1 1 0 0 0 0 0 0 | * * * 4 * * * *  medial spheno-{3}
0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 0 | * * * * 4 * * *  {3}
0 0 2 0 1 | 0 0 0 0 0 0 1 0 2 0 0 | * * * * * 2 * *  {3}
0 0 1 1 1 | 0 0 0 0 0 0 0 1 1 1 0 | * * * * * * 4 *  {3}
0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 2 1 | * * * * * * * 2  {3}