U-tiling: UQC2825
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2170 |
*222222 |
(2,7,5) |
{7,6} |
{4.4.4.3.4.4.4}{4.4.3.4.4.3} |
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
|
|
sqc1021
|
|
Pmmm |
47 |
orthorhombic |
{6,7} |
4 |
(2,7) |
|
G
|
False
|
|
sqc5676
|
|
C2/c |
15 |
monoclinic |
{7,6} |
8 |
(2,8) |
|
D
|
True
|
|
sqc4830
|
|
Imma |
74 |
orthorhombic |
{6,6} |
8 |
(2,7) |
Topological data
| Vertex degrees | {7,6} |
| 2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<125.2:104:53 67 68 56 57 8 9 62 37 38 26 79 93 94 82 83 21 22 88 50 51 92 80 81 95 96 34 35 101 52 66 54 55 69 70 47 48 75 60 61 102 103 91 73 74 89 90 104 86 87 99 100,2 4 6 33 10 11 13 15 17 19 46 23 24 26 28 30 32 36 37 39 41 43 45 49 50 52 54 56 58 98 62 63 65 67 69 71 85 75 76 78 80 82 84 88 89 91 93 95 97 101 102 104,27 3 5 7 9 36 12 39 40 16 18 20 22 49 25 52 29 31 33 35 38 42 44 46 48 51 92 55 57 59 61 101 64 104 79 68 70 72 74 88 77 91 81 83 85 87 90 94 96 98 100 103:4 4 4 3 4 4 4 4 3 4 4 3 4 3,7 6 7 6 7 6 7 6> {(0, 103): 'tau1', (0, 62): 't3*tau2*t1^-1*tau3^-1*t2', (0, 1): 't3', (0, 88): 't2*tau3^-1*t1^-1*tau2*t3', (0, 26): 'tau3^-1*t2', (0, 63): 't3*tau2*t1^-1*tau3^-1*t2', (1, 45): 't1', (0, 52): 't3*tau2', (1, 97): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 13): 'tau3*t2^-1', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 2): 't3', (1, 32): 't1', (0, 27): 't2^-1', (0, 49): 't1', (0, 39): 'tau2*t3', (2, 0): 't1^-1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't3', (0, 24): 't1^-1', (0, 14): 't2', (0, 36): 't1', (1, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 90): 'tau1^-1', (0, 28): 't2^-1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't1', (0, 54): 't3', (0, 15): 't2', (0, 37): 't1', }