U-tiling: UQC80
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc9 |
*246 |
(1,1,1) |
{4} |
{6.6.6.6} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
True
|
|
sqc706
|
|
Fmmm |
69 |
orthorhombic |
{4,3,4} |
6 |
(3,4) |
G
|
False
|
|
sqc5239
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
12 |
(3,4) |
D
|
False
|
|
sqc949
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
6 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:96:55 3 5 60 67 9 11 72 79 15 17 84 91 21 23 96 61 27 29 66 49 33 35 54 85 39 41 90 73 45 47 78 51 53 57 59 63 65 69 71 75 77 81 83 87 89 93 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,49 26 27 10 11 18 61 32 33 24 73 38 39 22 23 85 44 45 67 34 35 42 55 48 91 46 47 79 68 69 64 65 78 62 63 70 71 84 90 96 92 93 88 89 86 87 94 95:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't3^-1', (2, 63): 'tau1^-1', (2, 57): 'tau1^-1', (2, 58): 'tau1^-1', (2, 59): 't3^-1', (2, 52): 'tau1', (2, 53): 't3', (0, 48): 't3', (0, 54): 't3^-1', (0, 53): 't3', (2, 44): 't1', (2, 42): 'tau2', (2, 43): 't1', (2, 36): 'tau3^-1', (2, 38): 't1', (0, 24): 't2^-1', (0, 29): 't2^-1', (2, 18): 'tau3', (2, 12): 'tau2^-1', (2, 13): 't1^-1', (0, 11): 't2', (0, 6): 't2', (2, 92): 'tau3*t1*tau2^-1', (2, 93): 't2*tau1*t3^-1', (2, 94): 't2*tau1*t3^-1', (2, 95): 't2', (2, 88): 't2^-1*tau1^-1*t3', (2, 91): 'tau3*t1*tau2^-1', (2, 85): 'tau3^-1*t1^-1*tau2', (2, 86): 'tau3^-1*t1^-1*tau2', (2, 87): 't2^-1*tau1^-1*t3', (2, 65): 't2'}