U-tiling: UQC307
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc5 |
*246 |
(1,1,1) |
{6} |
{4.4.4.4.4.4} |
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
|
False
|
|
sqc921
|
|
Fmmm |
69 |
orthorhombic |
{6,6} |
4 |
(2,3) |
|
G
|
False
|
|
sqc5166
|
|
Fddd |
70 |
orthorhombic |
{6,6} |
8 |
(2,4) |
|
D
|
False
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.2:96:49 4 5 54 61 10 11 66 73 16 17 78 85 22 23 90 67 28 29 72 55 34 35 60 91 40 41 96 79 46 47 84 52 53 58 59 64 65 70 71 76 77 82 83 88 89 94 95,2 15 6 11 8 21 12 14 18 23 20 24 26 39 30 35 32 45 36 38 42 47 44 48 50 75 54 65 56 81 60 71 62 87 66 68 93 72 74 78 89 80 84 95 86 90 92 96,55 3 5 30 67 9 11 36 79 15 17 42 91 21 23 48 61 27 29 49 33 35 85 39 41 73 45 47 51 53 72 57 59 66 63 65 69 71 75 77 96 81 83 90 87 89 93 95:4 4 4 4 4 4 4 4 4 4 4 4,6 6 6 6 6 6 6 6> {(1, 88): 't2^-1*tau1^-1*t3', (0, 18): 'tau3', (0, 95): 'tau3', (1, 68): 't2^-1', (0, 12): 'tau2^-1', (1, 64): 'tau1^-1', (2, 54): 't3^-1', (1, 86): 't2^-1', (0, 42): 'tau2', (1, 82): 't3*tau1^-1*t2^-1', (2, 89): 'tau3^-1*t1^-1*tau2', (0, 17): 'tau2^-1', (2, 95): 'tau3*t1*tau2^-1', (1, 70): 'tau1', (2, 41): 't1', (0, 36): 'tau3^-1', (2, 23): 't1^-1', (0, 83): 'tau2^-1', (1, 80): 't3', (2, 6): 't2', (2, 48): 't3', (1, 74): 't3^-1', (0, 23): 'tau3', (2, 60): 't2', }