U-tiling: UQC3812
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc840 |
*2244 |
(3,4,2) |
{12,4,4} |
{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.... |
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
|
False
|
|
sqc1642
|
|
P4/mmm |
123 |
tetragonal |
{4,12,4} |
6 |
(3,4) |
|
G
|
False
|
|
sqc7727
|
|
I41/a |
88 |
tetragonal |
{12,4,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc7511
|
|
I41/amd |
141 |
tetragonal |
{12,4,4} |
12 |
(3,4) |
Topological data
| Vertex degrees | {12,4,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.1:128:9 3 5 7 16 11 13 15 33 19 21 23 40 41 27 29 31 48 35 37 39 43 45 47 57 51 53 55 64 59 61 63 89 67 69 71 96 81 75 77 79 88 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127,2 8 20 6 23 10 16 28 14 31 18 24 22 26 32 30 34 40 108 38 111 42 48 124 46 127 50 56 76 54 79 58 64 92 62 95 66 72 100 70 103 74 80 78 82 88 116 86 119 90 96 94 98 104 102 106 112 110 114 120 118 122 128 126,49 4 5 54 55 56 57 12 13 62 63 64 65 20 21 70 71 72 81 28 29 86 87 88 89 36 37 94 95 96 73 44 45 78 79 80 52 53 60 61 68 69 76 77 84 85 92 93 121 100 101 126 127 128 113 108 109 118 119 120 116 117 124 125:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,12 4 4 12 4 4 4 4 4 4 4 4> {(0, 88): 't3^-1', (0, 120): 'tau1', (2, 56): 't1', (0, 127): 'tau1', (2, 16): 'tau2^-1*t3^-1', (0, 112): 'tau1^-1', (2, 48): 't1', (2, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 119): 'tau1^-1', (0, 80): 't2', (0, 40): 't2^-1', (0, 87): 't2', (2, 40): 't2^-1*tau3', (0, 47): 't2^-1', (2, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 24): 'tau3*t2^-1', (0, 32): 't3^-1', (2, 32): 't3^-1*tau2^-1', (0, 39): 't3^-1', (0, 95): 't3^-1'}