U-tiling: UQC3757
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc824 |
*22222 |
(3,4,2) |
{4,3,6} |
{6.6.6.6}{6.4.6}{6.6.4.6.6.4} |
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
|
|
sqc7324
|
|
P4/mmm |
123 |
tetragonal |
{4,3,5} |
16 |
(3,4) |
|
G
|
False
|
|
sqc7668
|
|
I4122 |
98 |
tetragonal |
{4,3,6} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1736
|
|
P4222 |
93 |
tetragonal |
{3,6,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,3,6} |
| 2D vertex symbol | {6.6.6.6}{6.4.6}{6.6.4.6.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.3:128:73 3 5 7 80 57 11 13 15 64 89 19 21 23 96 81 27 29 31 88 105 35 37 39 112 97 43 45 47 104 121 51 53 55 128 59 61 63 113 67 69 71 120 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 4 8 14 23 10 12 16 31 18 20 24 30 26 28 32 34 36 40 62 55 42 44 48 78 71 50 52 56 86 58 60 64 87 66 68 72 94 74 76 80 95 82 84 88 90 92 96 98 100 104 110 119 106 108 112 127 114 116 120 126 122 124 128,17 10 11 6 7 40 25 14 15 48 26 27 22 23 56 30 31 72 49 58 59 38 39 65 74 75 46 47 82 83 54 55 81 62 63 104 90 91 70 71 89 78 79 112 86 87 120 94 95 128 113 106 107 102 103 121 110 111 122 123 118 119 126 127:6 4 6 6 6 6 4 6 4 6 6 4,4 3 6 6 3 4 3 4 3 3 6 3 6 4 3 3> {(1, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 57): 't3^-1', (2, 58): 't3^-1', (1, 126): 't1^-1*tau3^-1*t2', (1, 85): 'tau2', (2, 48): 'tau2^-1*t3^-1', (2, 49): 'tau2^-1', (2, 50): 'tau2^-1', (1, 118): 'tau2*t3', (2, 40): 't2*tau3^-1', (2, 41): 't2', (2, 42): 't2', (1, 61): 't3^-1', (1, 101): 'tau1^-1', (2, 31): 't1', (1, 93): 'tau3^-1', (2, 25): 't1', (2, 26): 't1', (1, 94): 'tau3^-1*t2', (0, 16): 't1^-1', (2, 16): 't1^-1', (0, 23): 't1^-1', (1, 86): 'tau2*t3', (1, 77): 't2^-1', (2, 127): 't1^-1', (2, 120): 'tau2^-1*t3^-1', (2, 121): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 112): 't1', (2, 112): 't1*tau3*t2^-1', (0, 119): 't1', (2, 105): 'tau1', (2, 106): 'tau1', (1, 29): 't1', (2, 89): 'tau3^-1', (2, 90): 'tau3^-1', (1, 30): 't1'}