U-tiling: UQC1386
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc689 |
*2244 |
(2,3,4) |
{8,4} |
{4.3.6.3.4.3.6.3}{3.6.4.6} |
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
|
|
sqc7866
|
|
P4/nmm |
129 |
tetragonal |
{4,8} |
12 |
(2,3) |
|
G
|
False
|
|
sqc7861
|
|
I41/a |
88 |
tetragonal |
{4,8} |
12 |
(2,4) |
|
D
|
False
|
|
sqc7859
|
|
I41/amd |
141 |
tetragonal |
{4,8} |
12 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.6.3.4.3.6.3}{3.6.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<69.1:128:49 50 5 6 23 24 57 58 13 14 31 32 65 66 21 22 81 82 29 30 89 90 37 38 111 112 73 74 45 46 127 128 53 54 79 80 61 62 95 96 69 70 103 104 77 78 85 86 119 120 93 94 121 122 101 102 113 114 109 110 117 118 125 126,17 3 20 13 7 56 25 11 28 15 64 19 37 23 72 27 45 31 88 105 35 108 39 96 121 43 124 47 80 73 51 76 61 55 89 59 92 63 97 67 100 93 71 75 85 79 113 83 116 87 91 95 99 117 103 128 107 125 111 120 115 119 123 127,2 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 6 3 4 4 3 4 6 6 3 3 3 3 3 3 6,4 8 4 8 8 4 4 4 4 4 4 8> {(0, 57): 't1', (0, 41): 't2^-1*tau3', (1, 68): 't3', (0, 121): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 20): 't3', (0, 48): 't1', (0, 17): 'tau2^-1*t3^-1', (1, 28): 't2', (0, 56): 't1', (1, 116): 'tau1^-1', (0, 16): 'tau2^-1*t3^-1', (0, 32): 't3^-1*tau2^-1', (1, 124): 'tau1', (0, 24): 'tau3*t2^-1', (1, 84): 't2', (0, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 40): 't2^-1*tau3', (0, 33): 't3^-1*tau2^-1', (0, 49): 't1', (0, 25): 'tau3*t2^-1', (0, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 113): 't2*tau3^-1*t1^-1*tau2*t3', }