Acronym	pysnic
Name	pyritosnub cube, pyritohedral sirco variant, faceted tigid
	©
Circumradius	sqrt[(17+5 sqrt(5))/8] = 1.876844
Face vector	24, 48, 26
Confer	uniform variant: sirco   variations: xfF fFx Fxf&#zx   xwX wXx Xxw&#zh   general polytopal classes: isogonal
External links

This polyhedron is being obtained as faceting of tigid. Here the edge size ratios are x : q : f = 1 : sqrt(2) : (1+sqrt(5))/2. The uniform variant of this polyhedron however is the sirco (then with ratios 1 : 1 : 1). Note that a further polyhedron with this same combinatoric topology, but again different edge ratios, occurs when the id would be diminished at the vertices of an inscribed oct. That one then (xfF fFx Fxf&#zx) would use edge ratios x : x : f = 1 : 1 : (1+sqrt(5))/2 instead. A further one, again with different edge ratios, would occur as mere vertex alternation, i.e. as snubbing without subsequent resizement, when being applied to girco. That one then (xwX wXx Xxw&#zh) would use edge size ratios x : h : w = 1 : sqrt(3) : 1+sqrt(2) instead.

Incidence matrix according to Dynkin symbol

xfV fVx Vxf&#zq   → height = 0
                    V = 2f (pseudo)

o.. o.. o..    | 8 * * | 1 1 1 1 0 0 0 0 0 | 1 1 1 1 0 0 0
.o. .o. .o.    | * 8 * | 0 0 1 0 1 1 1 0 0 | 0 1 0 1 1 1 0
..o ..o ..o    | * * 8 | 0 0 0 1 0 0 1 1 1 | 0 0 1 1 0 1 1
---------------+-------+-------------------+--------------
x.. ... ...    | 2 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0
... f.. ...    | 2 0 0 | * 4 * * * * * * * | 1 0 1 0 0 0 0
oo. oo. oo.&#q | 1 1 0 | * * 8 * * * * * * | 0 1 0 1 0 0 0
o.o o.o o.o&#q | 1 0 1 | * * * 8 * * * * * | 0 0 1 1 0 0 0
.f. ... ...    | 0 2 0 | * * * * 4 * * * * | 0 1 0 0 1 0 0
... ... .x.    | 0 2 0 | * * * * * 4 * * * | 0 0 0 0 1 1 0
.oo .oo .oo&#q | 0 1 1 | * * * * * * 8 * * | 0 0 0 1 0 1 0
... ..x ...    | 0 0 2 | * * * * * * * 4 * | 0 0 1 0 0 0 1
... ... ..f    | 0 0 2 | * * * * * * * * 4 | 0 0 0 0 0 1 1
---------------+-------+-------------------+--------------
x.. f.. ...    | 4 0 0 | 2 2 0 0 0 0 0 0 0 | 2 * * * * * *
xf. ... ...&#q | 2 2 0 | 1 0 2 0 1 0 0 0 0 | * 4 * * * * *
... f.x ...&#q | 2 0 2 | 0 1 0 2 0 0 0 1 0 | * * 4 * * * *
ooo ooo ooo&#q | 1 1 1 | 0 0 1 1 0 0 1 0 0 | * * * 8 * * *
.f. ... .x.    | 0 4 0 | 0 0 0 0 2 2 0 0 0 | * * * * 2 * *
... ... .xf&#q | 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * 4 *
... ..x ..f    | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * 2

or
o.. o.. o..    & | 24 |  1  1  2 | 1  2 1
-----------------+----+----------+-------
x.. ... ...    & |  2 | 12  *  * | 1  1 0
... f.. ...    & |  2 |  * 12  * | 1  1 0
oo. ... ...&#q & |  2 |  *  * 24 | 0  1 1
-----------------+----+----------+-------
x.. f.. ...    & |  4 |  2  2  0 | 6  * *
xf. ... ...&#q & |  4 |  1  1  2 | * 12 *
ooo ooo ooo&#q   |  3 |  0  0  3 | *  * 8