U-tiling: UQC1368
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc600 |
*2244 |
(2,3,4) |
{6,4} |
{4.8.3.4.3.8}{3.4.3.4} |
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) |
|
G
|
False
|
|
sqc7644
|
|
I-42d |
122 |
tetragonal |
{4,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc2098
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
6 |
(2,3) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.3.4.3.8}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:128:3 4 13 14 23 24 11 12 31 32 19 20 37 38 27 28 45 46 35 36 55 56 43 44 63 64 51 52 61 62 59 60 67 68 77 78 87 88 75 76 95 96 83 84 101 102 91 92 109 110 99 100 119 120 107 108 127 128 115 116 125 126 123 124,65 10 51 5 7 56 73 59 13 15 64 81 34 27 21 23 32 89 42 29 31 97 43 37 39 48 105 45 47 113 58 53 55 121 61 63 74 115 69 71 120 123 77 79 128 98 91 85 87 96 106 93 95 107 101 103 112 109 111 122 117 119 125 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:4 3 8 4 4 4 3 3 4 3 3 8 4 3 3 3,4 6 6 4 6 4 6 4 6 6 6 6> {(0, 62): 't3^-1*tau2^-1*t3^-1', (0, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 55): 't3^-1', (0, 45): 't3*tau2*t1^-1', (1, 25): 't1*tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1*t3^-1', (0, 30): 't1', (0, 118): 'tau1^-1', (0, 108): 't3*tau2*t1^-1', (0, 79): 'tau3', (1, 63): 't3^-1*tau2^-1*t1', (0, 93): 't1*tau2^-1*t3^-1', (0, 126): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 119): 'tau1^-1', (0, 86): 't2^-1', (1, 89): 't1*tau2^-1*t3^-1', (1, 58): 't3^-1*tau2^-1*t1', (0, 94): 'tau3^-1', (0, 87): 't2^-1', (1, 122): 't3^-1*tau2^-1*t1', (0, 54): 't3^-1', (0, 44): 't3*tau2*t1^-1', (0, 15): 't1^-1', (1, 127): 't3^-1*tau2^-1*t1', }