Orbifold Atlas

Underlying Topological Space: RP² double suspension; Figure Pseudo-Symmetry (FPS): 2
Euclidean 3-Orbifold with Invariant-Lattice-Complex Letters (left), Wyckoff Site Letters (right)

FPS Mult Lattice Comp Group Graph Wyckoff Set 2[4]Cover

8-2 P₂ 30 a, b

16-1 P₂2[Y**]P₂2 0<3>0 (c:a-b)¹

24-1 [J₂,V*,J₂,S*]& <2>& (d:d-d)²

48 1 e:cd

2 48-1 Y**3[W₂]V*2 2*=33<1>22 (e1:c-d)³ #230(g)

48-1 J₂2[W₂]J₂2 2*=22<1>22 e3:d-d [#200(g,h)]

48-2 P₂6[-]J₂2 2*=30<1>22 e4:a-d, e5:b-d [#200(e)]

Lattice Points: (1) 0,0,0 + (1/8,1/8,1/8) x2; (2) 0,0,1/4 + (1/8,0,0) x4 &; (3) 1/8,1/8,1/8 + (0,1/8,-1/8)

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FPS	Mult	Lattice Comp	Group Graph	Wyckoff Set	2[4]Cover
	8-2	P₂	30	a, b
	16-1	P₂2[Y**]P₂2	0<3>0	(c:a-b)¹
	24-1	[J₂,V,J₂,S]&	<2>&	(d:d-d)²
	48		1	e:cd
2	48-1	Y*3[W₂]V2	2*=33<1>22	(e1:c-d)³	#230(g)
	48-1	J₂2[W₂]J₂2	2*=22<1>22	e3:d-d	[#200(g,h)]
	48-2	P₂6[-]J₂2	2*=30<1>22	e4:a-d, e5:b-d	[#200(e)]