U-tiling: UQC1337
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc571 |
*2244 |
(2,4,4) |
{7,4} |
{4.4.4.3.3.4.4}{3.3.3.3} |
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
|
|
sqc1682
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
5 |
(2,4) |
|
G
|
False
|
|
sqc7538
|
|
I-42d |
122 |
tetragonal |
{4,7} |
10 |
(2,4) |
|
D
|
False
|
|
sqc1967
|
|
P-42m |
111 |
tetragonal |
{4,7} |
5 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {4.4.4.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:128:2 11 12 69 70 55 56 10 77 78 63 64 18 35 36 85 86 31 32 26 43 44 93 94 34 101 102 47 48 42 109 110 50 59 60 117 118 58 125 126 66 75 76 119 120 74 127 128 82 99 100 95 96 90 107 108 98 111 112 106 114 123 124 122,9 3 5 7 24 11 13 15 32 33 19 21 23 41 27 29 31 35 37 39 56 43 45 47 64 57 51 53 55 59 61 63 73 67 69 71 88 75 77 79 96 97 83 85 87 105 91 93 95 99 101 103 120 107 109 111 128 121 115 117 119 123 125 127,17 18 4 6 8 25 26 12 14 16 20 22 24 28 30 32 49 50 36 38 40 57 58 44 46 48 52 54 56 60 62 64 81 82 68 70 72 89 90 76 78 80 84 86 88 92 94 96 113 114 100 102 104 121 122 108 110 112 116 118 120 124 126 128:3 4 4 4 4 3 4 4 3 4 4 3 4 3 4 3 3 3,4 7 7 7 7 4 7 7 7 7> {(0, 126): 't3^-1*tau2^-1*t1', (1, 87): 't2^-1', (2, 89): 'tau3^-1', (0, 62): 't3^-1*tau2^-1*t1', (0, 107): 't3*tau2*t1^-1', (1, 15): 't1^-1', (2, 49): 't3^-1', (1, 104): 't3*tau2*t1^-1', (1, 55): 't3^-1', (2, 57): 't3^-1*tau2^-1*t3^-1', (2, 24): 't1', (0, 42): 't3*tau2*t1^-1', (2, 112): 'tau1^-1', (0, 79): 't1^-1*tau2*t3', (1, 63): 't3^-1*tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1*t3^-1', (2, 25): 't1', (2, 120): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 43): 't3*tau2*t1^-1', (1, 79): 'tau3', (2, 113): 'tau1^-1', (1, 40): 't3*tau2*t1^-1', (2, 80): 't2^-1', (1, 119): 'tau1^-1', (2, 121): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 88): 'tau3^-1', (0, 106): 't3*tau2*t1^-1', (2, 81): 't2^-1', (2, 48): 't3^-1', (0, 15): 't1^-1*tau2*t3', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', }