U-tiling: UQC381
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc478 |
*22222 |
(2,4,2) |
{8,3} |
{6.4.4.6.6.4.4.6}{6.4.4} |
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
|
|
sqc5933
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6411
|
|
I4122 |
98 |
tetragonal |
{3,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1188
|
|
P4222 |
93 |
tetragonal |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {6.4.4.6.6.4.4.6}{6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.4:112:8 4 5 13 70 11 12 56 22 18 19 27 84 25 26 77 50 32 33 55 98 64 39 40 69 91 71 46 47 76 112 53 54 78 60 61 83 105 67 68 74 75 81 82 92 88 89 97 95 96 106 102 103 111 109 110,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 45 34 35 37 59 41 42 44 48 49 51 73 55 56 58 62 63 65 80 69 70 72 76 77 79 83 84 86 101 90 91 93 108 97 98 100 104 105 107 111 112,15 3 5 20 35 22 10 12 27 42 17 19 49 24 26 63 43 31 33 48 57 38 40 62 45 47 71 52 54 76 91 59 61 78 66 68 83 98 73 75 105 80 82 112 99 87 89 104 106 94 96 111 101 103 108 110:4 6 6 4 4 6 4 6 4 4 4 4,3 8 3 8 3 3 3 8 3 8 3 3> {(2, 56): 'tau3*t2^-1', (2, 111): 't1^-1', (2, 84): 't2*tau3^-1*t1^-1', (2, 14): 't1^-1', (0, 62): 't1^-1', (0, 84): 'tau1^-1', (0, 20): 't1^-1', (2, 12): 't1^-1', (2, 105): 'tau2^-1*t3^-1', (2, 96): 't2^-1*tau3*t1', (2, 62): 't1^-1', (0, 47): 'tau2^-1', (0, 19): 't1^-1', (0, 105): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 54): 't3^-1*tau2^-1', (0, 61): 'tau3', (0, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 86): 't2*tau3^-1*t1^-1', (0, 28): 't3', (0, 63): 't2^-1', (0, 40): 't2', (0, 21): 't1', (2, 103): 'tau2*t3', (0, 42): 'tau2^-1', (1, 58): 'tau3*t2^-1', (0, 54): 't3^-1', (2, 42): 'tau2^-1*t3^-1', (0, 89): 'tau1^-1', (2, 82): 'tau3^-1*t2', (0, 56): 'tau3', (1, 107): 'tau2^-1*t3^-1', (1, 30): 't3*tau2', (1, 16): 't1^-1', }