U-tiling: UQC5540
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2207 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.... |
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
|
True
|
|
sqc5304
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,3,3} |
14 |
(5,7) |
|
G
|
False
|
|
sqc5878
|
|
I212121 |
24 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc1047
|
|
P222 |
16 |
orthorhombic |
{4,4,4,4,3} |
7 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.7}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<126.1:104:14 3 5 7 9 36 12 26 16 18 20 22 49 25 40 29 31 33 35 38 52 42 44 46 48 51 66 55 57 59 61 88 64 78 68 70 72 74 101 77 92 81 83 85 87 90 104 94 96 98 100 103,2 11 30 6 8 10 13 15 24 43 19 21 23 26 28 37 32 34 36 39 41 50 45 47 49 52 54 63 82 58 60 62 65 67 76 95 71 73 75 78 80 89 84 86 88 91 93 102 97 99 101 104,27 4 5 32 33 21 22 62 37 38 65 40 17 18 45 46 75 50 51 78 30 31 47 48 88 91 43 44 101 104 79 56 57 84 85 73 74 89 90 92 69 70 97 98 102 103 82 83 99 100 95 96:6 7 7 6 6 7 7 6,3 4 4 4 4 3 4 4 4 3 4 4 3 4> {(2, 62): 't2^-1*tau1^-1', (2, 63): 't2^-1*tau1^-1', (2, 57): 't2^-1*tau1^-1', (2, 58): 't2^-1*tau1^-1', (2, 49): 'tau2^-1*t1', (0, 52): 't2^-1*tau3', (2, 51): 't3*tau1^-1*t2^-1*tau3*t1', (2, 44): 'tau2^-1*t1', (2, 45): 'tau2^-1*t1', (2, 46): 'tau2^-1*t3^-1', (2, 47): 'tau2^-1*t3^-1', (2, 36): 't3', (2, 37): 't3', (2, 38): 't3*tau1^-1', (2, 32): 't3', (2, 31): 't3', (2, 24): 't1^-1*tau2', (2, 25): 'tau3', (1, 94): 't1^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (0, 103): 't1^-1*tau3^-1*t2', (2, 12): 't2', (2, 101): 'tau2^-1*t3^-1*tau1*t2', (2, 102): 'tau2^-1*t3^-1*tau1*t2', (2, 96): 'tau2^-1*t3^-1*tau1*t2', (2, 97): 'tau2^-1*t3^-1*tau1*t2', (2, 98): 'tau2^-1*t3^-1', (2, 99): 'tau2^-1*t3^-1', (0, 91): 't1^-1*tau3^-1*t2', (2, 91): 't1^-1', (0, 74): 't1', (0, 64): 't2^-1*tau3'}