Orbifold Atlas

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

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

2-1 I 332 a

4-2 F 30 b, c

6-1 J* 222 d

8-2 I4[-]F2 32<3>0 (e1:b-a, e2:a-c)¹

12-1 I6[-]J*2 33<2>22 (f:a-d)²

12-1 J*2[W*]& 2<2>& (g:d-d)³

24 1 h:efg

2 24-1 I12[J₂]J*4 2*=332<1>222 (h1:a-d)⁴ #222(h)

24-1 F6[J₂]F6 2*=30<1>30 h2:b-c [#202(e)]

24-1 F6[-]W*2 2*=30<1>30 h3:b-g, h4:c-g #224(i,j)

m 24-1 m* (h5:fgh1)⁵ #204(g)

m 24-1 m* (h6:eh2)⁶ #224(k)

Struct-Mult Critical Points Heegaard Surf Wyckoff Cut

BCC -1 I/FF/W*/J* HP² 200{11} f

Lattice Points: (1) 0,0,0 + (1/4,1/4,1/4) x2; (2) 1/4,1/4,1/4 + (0,1/2,1/2); (3) 1/4,3/4,3/4 + (-1/4,0,0) &; (4) 1/4,1/4,1/4 + (0,-1/4,-1/4) x2: (5) 1/4,y,z; (6) x,x,z

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FPS	Mult	Lattice Comp	Group Graph	Wyckoff Set	2[4]Cover
	2-1	I	332	a
	4-2	F	30	b, c
	6-1	J*	222	d
	8-2	I4[-]F2	32<3>0	(e1:b-a, e2:a-c)¹
	12-1	I6[-]J*2	33<2>22	(f:a-d)²
	12-1	J2[W]&	2<2>&	(g:d-d)³
	24		1	h:efg
2	24-1	I12[J₂]J*4	2*=332<1>222	(h1:a-d)⁴	#222(h)
	24-1	F6[J₂]F6	2*=30<1>30	h2:b-c	[#202(e)]
	24-1	F6[-]W*2	2*=30<1>30	h3:b-g, h4:c-g	#224(i,j)
m	24-1		m*	(h5:fgh1)⁵	#204(g)
m	24-1		m*	(h6:eh2)⁶	#224(k)

Struct-Mult	Critical Points	Heegaard Surf	Wyckoff Cut
BCC -1	I/FF/W/J	HP² 200{11}	f