U-tiling: UQC5528
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2204 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.... |
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
|
|
sqc5539
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,3} |
14 |
(5,7) |
|
G
|
False
|
|
sqc5881
|
|
I212121 |
24 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc1053
|
|
P222 |
16 |
orthorhombic |
{4,4,4,3,4} |
7 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<123.1:104:14 3 5 7 34 10 12 26 16 18 20 47 23 25 40 29 31 33 36 38 52 42 44 46 49 51 66 55 57 59 86 62 64 78 68 70 72 99 75 77 92 81 83 85 88 90 104 94 96 98 101 103,2 9 30 6 8 11 13 15 22 43 19 21 24 26 28 35 32 34 37 39 41 48 45 47 50 52 54 61 82 58 60 63 65 67 74 95 71 73 76 78 80 87 84 86 89 91 93 100 97 99 102 104,27 4 5 19 20 60 22 23 37 38 65 40 17 18 73 50 51 78 30 31 45 46 86 48 49 91 43 44 99 104 79 56 57 71 72 74 75 89 90 92 69 70 102 103 82 83 97 98 100 101 95 96:8 5 5 8 8 5 5 8,3 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, 48): 'tau2^-1*t3^-1', (2, 49): 'tau2^-1*t1', (2, 50): 'tau2^-1*t1', (2, 51): 't3*tau1^-1*t2^-1*tau3*t1', (2, 44): 'tau2^-1*t3^-1', (2, 45): 'tau2^-1*t3^-1', (2, 47): 'tau2^-1*t3^-1', (2, 36): 't3', (2, 37): 't3', (2, 38): 't3*tau1^-1', (2, 25): 'tau3', (1, 94): 't1^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 12): 't2', (0, 52): 't2^-1*tau3', (0, 98): 't1^-1', (2, 101): 'tau2^-1*t3^-1*tau1*t2', (2, 102): 'tau2^-1*t3^-1*tau1*t2', (2, 96): 'tau2^-1*t3^-1', (2, 97): 'tau2^-1*t3^-1', (0, 103): 't1^-1*tau3^-1*t2', (2, 99): 'tau2^-1*t3^-1', (2, 91): 't1^-1', (2, 100): 'tau2^-1*t3^-1', (0, 78): 't2^-1*tau3*t1', (0, 77): 'tau3^-1*t2'}