U-tiling: UQC3716
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc818 |
*22222 |
(3,4,2) |
{8,4,4} |
{3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5} |
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) |
|
G
|
False
|
|
sqc7730
|
|
I4122 |
98 |
tetragonal |
{8,4,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc1857
|
|
P4222 |
93 |
tetragonal |
{4,4,8} |
6 |
(3,4) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.3.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.3:128:73 3 5 7 40 57 11 13 15 48 89 19 21 23 56 81 27 29 31 72 105 35 37 39 97 43 45 47 121 51 53 55 59 61 63 104 113 67 69 71 75 77 79 112 83 85 87 120 91 93 95 128 99 101 103 107 109 111 115 117 119 123 125 127,2 75 6 37 8 10 59 14 45 16 18 91 22 53 24 26 83 30 69 32 34 107 38 40 42 99 46 48 50 123 54 56 58 62 101 64 66 115 70 72 74 78 109 80 82 86 117 88 90 94 125 96 98 102 104 106 110 112 114 118 120 122 126 128,17 4 5 14 15 24 25 12 13 32 20 21 30 31 28 29 49 36 37 62 63 56 65 44 45 78 79 72 52 53 86 87 81 60 61 88 68 69 94 95 89 76 77 96 84 85 92 93 113 100 101 110 111 120 121 108 109 128 116 117 126 127 124 125:3 5 3 5 3 5 3 5 3 3 3 5 3 5 5 5,8 4 4 4 4 4 8 4 8 4 8 4> {(2, 61): 't3^-1', (2, 62): 't3^-1', (2, 63): 't3^-1*tau2^-1', (1, 124): 't1^-1', (2, 53): 'tau2^-1', (2, 54): 'tau2^-1', (1, 114): 't1', (2, 48): 'tau2^-1*t3^-1', (2, 45): 't2', (2, 46): 't2', (2, 40): 't2*tau3^-1', (2, 29): 't1', (2, 31): 't1', (0, 31): 't1', (2, 22): 't1^-1', (2, 16): 't1^-1', (2, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 127): 't1^-1*tau3^-1*t2', (2, 120): 'tau2^-1*t3^-1', (0, 127): 't1^-1', (0, 112): 't1', (2, 119): 'tau2*t3', (2, 112): 't1*tau3*t2^-1', (2, 109): 'tau1', (2, 110): 'tau1', (2, 93): 'tau3^-1', (2, 94): 'tau3^-1', (2, 95): 'tau3^-1*t2', (1, 28): 't1', (1, 18): 't1^-1', (0, 16): 't1^-1'}