Orbifold Atlas

Underlying Topological Space: RP³; 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

6-1 J* 222 b

8-1 I4[P₂]& 2<3>& (c:a-a)¹

12-1 I6[-]J*2 33<2>22 (d:a-b))²

12-1 J*2[W*]& 2<2>& (e:b-b)³

24 1 f:cde

2 24-1 I12[J₂]J*4 2*=332<1>222 (f1:a-b)⁴ #211(h)

24-1 P₂3[-]W*2 2*=33<1>22 f2:c-e #211(i)

m 24-1 m* (f3:de)⁵ #204(g)

m 24-1 m* (f4:cd)⁶ #217(g)

Struct-Mult Critical Points Heegaard Surf Wyckoff Cut

BCC -1 I/P₂/W*/J* HP³ 200{11} d

Lattice Points: (1) 0,0,0 + (1/4,1/4,1/4) x2 &; (2) 0,0,0 + (1/2,0,0); (3) 0,1/2,0 + (1/4,0,0) x2 &; (4) 0,0,0 + (1/4,1/4,0) x2; (5) 0,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
	6-1	J*	222	b
	8-1	I4[P₂]&	2<3>&	(c:a-a)¹
	12-1	I6[-]J*2	33<2>22	(d:a-b))²
	12-1	J2[W]&	2<2>&	(e:b-b)³
	24		1	f:cde
2	24-1	I12[J₂]J*4	2*=332<1>222	(f1:a-b)⁴	#211(h)
	24-1	P₂3[-]W*2	2*=33<1>22	f2:c-e	#211(i)
m	24-1		m*	(f3:de)⁵	#204(g)
m	24-1		m*	(f4:cd)⁶	#217(g)

Struct-Mult	Critical Points	Heegaard Surf	Wyckoff Cut
BCC -1	I/P₂/W/J	HP³ 200{11}	d