U-tiling: UQC5506
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2199 |
*222222 |
(5,7,2) |
{4,3,4,4,4} |
{3.10.10.3}{3.10.10}{10.10.10.10... |
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
|
|
sqc1033
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6097
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6100
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,3,4,4,4} |
| 2D vertex symbol | {3.10.10.3}{3.10.10}{10.10.10.10}{10.10.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<118.3:104:53 3 5 58 8 10 12 65 79 16 18 84 21 23 25 91 92 29 31 97 34 36 38 104 66 42 44 71 47 49 51 78 55 57 60 62 64 68 70 73 75 77 81 83 86 88 90 94 96 99 101 103,2 55 6 7 9 11 13 15 81 19 20 22 24 26 28 94 32 33 35 37 39 41 68 45 46 48 50 52 54 58 59 61 63 65 67 71 72 74 76 78 80 84 85 87 89 91 93 97 98 100 102 104,66 4 5 71 59 60 35 36 24 25 39 92 17 18 97 85 86 48 49 52 79 30 31 84 98 99 50 51 53 43 44 58 72 73 56 57 100 101 89 90 104 69 70 87 88 102 103 91 82 83 95 96:3 10 3 10 3 10 3 10,4 3 4 4 4 4 3 4 4 3 4 3 4 4> {(2, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 61): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 'tau1', (2, 63): 'tau1', (2, 57): 't3', (2, 58): 't3*tau2', (2, 59): 't3*tau2', (2, 52): 't3', (2, 48): 't1', (0, 52): 't3*tau2', (2, 45): 'tau2*t3', (2, 46): 'tau2*t3', (2, 47): 't1', (2, 32): 'tau3^-1*t2', (2, 33): 'tau3^-1*t2', (2, 34): 't1', (2, 35): 't1', (0, 26): 'tau3^-1*t2', (2, 31): 't2^-1', (2, 26): 't2^-1', (2, 20): 'tau3*t2^-1', (2, 18): 't2', (2, 19): 'tau3*t2^-1', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (2, 5): 't3', (2, 0): 't3', (1, 54): 't3*tau2', (1, 41): 'tau2*t3', (2, 101): 'tau1', (2, 102): 'tau1', (0, 39): 'tau2*t3', (1, 28): 'tau3^-1*t2', (2, 86): 't2*tau3^-1*t1^-1*tau2*t3', (2, 87): 't2*tau3^-1*t1^-1*tau2*t3', (1, 15): 'tau3*t2^-1'}