Acronym	sople (old: odop)
Name	square-octagon plus-prism, octagonal diorthoprism, compound of 2 sodip
	©
Circumradius	sqrt[(3+sqrt(2))/2] = 1.485633
Lace city in approx. ASCII-art	x4o x4o x4o x4x x4x x4o x4o x4x x4x x4o x4o x4o x4o x4o x4o x4o x4o x4o x4o x4o x4x x4x x4x x4x total compound one sodip component other sodip component
Coordinates	((1+sqrt(2))/2, 1/2, 1/2, 1/2)   & permutations in first 2 coordinates, all changes of sign (corresponds to one sodip) (1/2, 1/2, (1+sqrt(2))/2, 1/2)   & permutations in last 2 coordinates, all changes of sign (corresponds to completely orthogonal sodip)
General of army	sidpith
Colonel of regiment	(subregimental to sidpith)
Dihedral angles	at {4} between cube and cube:   135° at {4} between cube and op:   90° at {8} between op and op:   90°
Confer	uniform relative: sidpith   iquipadah   compound-component: sodip
External links

As abstract polytope sople is isomorphic to sistople, thereby replacing octagons by octagrams, resp. op by stop, resp. sodip by sistodip.

All cubes in here clearly are used as square prisms only. This simply is derived from the individual components, the sodips. But now the square symmetry of the one sodip cancels down the full eightfold one of the other in either of the two orthogonal subspaces. Therefore we get now "lacing cubes" (which are just underneath a single octagon) and to be distinguished "para cubes" (which are parallel to the ops). And thence the lacing squares of the two groups as well are to be distinguished. And therefore the lacing edges of those lacing squares as well have to be distinguished. Thus the octagons would get alternating sides out of the latter ones. And likewise the squares of the ops too will be alternating.

Incidence matrix

64 |  2  1  1 |  1  2  2 1 | 1 1 2 || 1
---+----------+------------+-------++--
 2 | 64  *  * |  1  1  1 0 | 1 1 1 || 1
 2 |  * 32  * |  0  2  0 1 | 1 0 2 || 1
 2 |  *  * 32 |  0  0  2 1 | 0 1 2 || 1
---+----------+------------+-------++--
 4 |  4  0  0 | 16  *  * * | 1 1 0 || 1
 4 |  2  2  0 |  * 32  * * | 1 0 1 || 1
 4 |  2  0  2 |  *  * 32 * | 0 1 1 || 1
 8 |  0  4  4 |  *  *  * 8 | 0 0 2 || 1
---+----------+------------+-------++--
 8 |  8  4  0 |  2  4  0 0 | 8 * * || 1  para cube
 8 |  8  0  4 |  2  0  4 0 | * 8 * || 1  lacing cube
16 |  8  8  8 |  0  4  4 2 | * * 8 || 1  op
---+----------+------------+-------++--
32 | 32 16 16 |  8 16 16 4 | 4 4 4 || 2  sodip