U-tiling: UQC2871
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) |
|
P
|
False
|
|
sqc1025
|
|
Pmmm |
47 |
orthorhombic |
{3,7} |
6 |
(2,6) |
|
G
|
False
|
|
sqc5738
|
|
C2/c |
15 |
monoclinic |
{7,3,3} |
12 |
(3,7) |
|
D
|
True
|
|
sqc800
|
|
Cmmm |
65 |
orthorhombic |
{3,6} |
6 |
(2,5) |
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
<16.2:104:53 67 68 56 57 8 9 36 37 25 26 79 93 94 82 83 21 22 49 50 92 80 81 95 96 34 35 51 52 66 54 55 69 70 47 48 60 61 101 102 90 91 73 74 88 89 103 104 86 87 99 100,2 4 6 33 10 13 12 15 17 19 46 23 26 25 28 30 32 36 39 38 41 43 45 49 52 51 54 56 58 98 62 65 64 67 69 71 85 75 78 77 80 82 84 88 91 90 93 95 97 101 104 103,27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 92 55 57 59 61 63 65 79 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104:4 4 8 6 4 4 4 8 6 4,7 3 7 3 3 3 7 3 7 3 3 3> {(0, 103): 'tau1', (0, 1): 't3', (0, 26): 'tau3^-1*t2', (0, 63): 'tau1', (1, 45): 't1', (0, 52): 't3*tau2', (0, 13): 'tau3*t2^-1', (0, 2): 't3', (1, 32): 't1', (0, 27): 't2^-1', (0, 39): 'tau2*t3', (2, 0): 't1^-1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't3', (0, 14): 't2', (1, 97): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 90): 'tau1^-1', (0, 102): 'tau1', (0, 28): 't2^-1', (2, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 39): 't1', (0, 54): 't3', (0, 15): 't2', }