Acronym	gyesqidpy, J17
Name	gyroelongated square dipyramid
	© ©
Vertex figure	[34], [35]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	10, 24, 16
Confer	uniform relative: squap   blend-component: squippy   squap   general polytopal classes: deltahedra   Johnson solids
External links

Incidence matrix according to Dynkin symbol

oxoo4ooxo&#xt   → outer heights = 1/sqrt(2) = 0.70711
                   inner height = 1/sqrt(sqrt(2)) = 0.84090
(pt || pseudo {4} || pseudo gyro {4} || pt)

o...4o...    | 1 * * * | 4 0 0 0 0 | 4 0 0 0
.o..4.o..    | * 4 * * | 1 2 2 0 0 | 2 2 1 0
..o.4..o.    | * * 4 * | 0 0 2 2 1 | 0 1 2 2
...o4...o    | * * * 1 | 0 0 0 0 4 | 0 0 0 4
-------------+---------+-----------+--------
oo..4oo..&#x | 1 1 0 0 | 4 * * * * | 2 0 0 0
.x..4....    | 0 2 0 0 | * 4 * * * | 1 1 0 0
.oo.4.oo.&#x | 0 1 1 0 | * * 8 * * | 0 1 1 0
....4..x.    | 0 0 2 0 | * * * 4 * | 0 0 1 1
..oo4..oo&#x | 0 0 1 1 | * * * * 4 | 0 0 0 2
-------------+---------+-----------+--------
ox..4....&#x | 1 2 0 0 | 2 1 0 0 0 | 4 * * *
.xo.4....&#x | 0 2 1 0 | 0 1 2 0 0 | * 4 * *
....4.ox.&#x | 0 1 2 0 | 0 0 2 1 0 | * * 4 *
....4..xo&#x | 0 0 2 1 | 0 0 0 1 2 | * * * 4

or
o...4o...     & | 2 * | 4 0 0 | 4 0
.o..4.o..     & | * 8 | 1 2 2 | 2 3
----------------+-----+-------+----
oo..4oo..&#x  & | 1 1 | 8 * * | 2 0
.x..4....     & | 0 2 | * 8 * | 1 1
.oo.4.oo.&#x    | 0 2 | * * 8 | 0 2
----------------+-----+-------+----
ox..4....&#x  & | 1 2 | 2 1 0 | 8 *
.xo.4....&#x  & | 0 3 | 0 1 2 | * 8