U-tiling: UQC377
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc477 |
*22222 |
(2,4,2) |
{4,6} |
{6.4.4.6}{6.4.4.6.4.4} |
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
|
False
|
|
sqc6791
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6790
|
|
I4122 |
98 |
tetragonal |
{4,6} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1414
|
|
P4222 |
93 |
tetragonal |
{4,6} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {6.4.4.6}{6.4.4.6.4.4} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:112:15 3 5 69 70 22 10 12 55 56 17 19 83 84 24 26 76 77 43 31 33 97 98 57 38 40 90 91 45 47 111 112 71 52 54 59 61 104 105 78 66 68 73 75 80 82 99 87 89 106 94 96 101 103 108 110,2 10 6 7 9 13 14 16 24 20 21 23 27 28 30 52 34 35 37 66 41 42 44 73 48 49 51 55 56 58 80 62 63 65 69 70 72 76 77 79 83 84 86 94 90 91 93 97 98 100 108 104 105 107 111 112,29 4 5 34 21 36 11 12 41 28 43 18 19 48 57 25 26 62 32 33 49 39 40 63 46 47 85 53 54 90 77 60 61 92 67 68 97 84 99 74 75 104 106 81 82 111 88 89 105 95 96 112 102 103 109 110:6 4 4 4 4 6 4 6 4 4 4 6,4 6 4 4 4 6 6 4 4 4 4 6> {(2, 61): 't1^-1', (2, 62): 'tau3*t2^-1', (0, 62): 't1^-1', (0, 63): 't2^-1*tau3', (0, 61): 't1^-1', (0, 49): 't3^-1*tau2^-1', (2, 48): 'tau2^-1*t3^-1', (1, 107): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 20): 't1^-1', (2, 21): 't1', (0, 20): 't1^-1', (1, 86): 'tau1^-1', (1, 72): 'tau2', (1, 79): 'tau3^-1', (1, 65): 't2^-1', (0, 7): 't1^-1', (1, 51): 't3^-1', (2, 110): 't1^-1', (2, 104): 't1*tau3*t2^-1', (0, 98): 'tau2*t3', (2, 97): 't3*tau2', (0, 91): 't2^-1*tau3*t1', (1, 16): 't1^-1', (2, 77): 't1', (0, 19): 't1^-1'}