U-tiling: UQC2870
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2178 |
*222222 |
(2,6,5) |
{7,3} |
{4.4.8.6.8.4.4}{8.4.6} |
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) |
|
G
|
False
|
|
sqc5665
|
|
I212121 |
24 |
orthorhombic |
{7,3,3} |
12 |
(3,7) |
|
D
|
False
|
|
sqc1023
|
|
P222 |
16 |
orthorhombic |
{3,7} |
6 |
(2,6) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.4.8.6.8.4.4}{8.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:104:27 54 55 17 18 8 9 36 37 64 65 40 67 68 21 22 49 50 77 78 80 81 43 44 34 35 90 91 93 94 47 48 103 104 79 69 70 60 61 88 89 92 73 74 101 102 95 96 86 87 99 100,2 4 6 20 10 13 12 15 17 19 23 26 25 28 30 32 46 36 39 38 41 43 45 49 52 51 54 56 58 72 62 65 64 67 69 71 75 78 77 80 82 84 98 88 91 90 93 95 97 101 104 103,14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104:4 4 8 6 4 4 4 4 6 8,7 3 3 7 3 3 7 3 3 7 3 3> {(0, 94): 'tau2^-1*t3^-1', (0, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 95): 'tau2^-1*t3^-1', (0, 62): 't2^-1*tau1^-1', (0, 12): 't2', (0, 100): 'tau2^-1*t3^-1*tau1*t2', (0, 48): 'tau2^-1*t1', (0, 38): 't3*tau1^-1', (0, 63): 't2^-1', (0, 36): 't3', (0, 42): 'tau2^-1*t3^-1', (0, 35): 't3', (1, 71): 'tau3^-1*t2', (0, 101): 'tau2^-1*t3^-1*tau1*t2', (0, 49): 'tau2^-1*t1', (0, 16): 't1^-1', (2, 91): 't1^-1*tau3^-1*t2', (0, 43): 'tau2^-1*t3^-1', (0, 24): 'tau3', (0, 14): 't1^-1', (1, 97): 't1^-1*tau3^-1*t2', (0, 61): 't2^-1*tau1^-1', (0, 50): 't3*tau1^-1*t2^-1*tau3*t1', (2, 52): 't2^-1*tau3', (0, 25): 'tau3', (0, 15): 't1^-1', (0, 37): 't3*tau1^-1', (0, 91): 't1^-1', (0, 4): 't1', }