U-tiling: UQC3554
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc755 |
*2244 |
(3,4,2) |
{4,12,4} |
{3.5.5.3}{3.5.5.3.5.5.3.5.5.3.5.... |
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) |
|
P
|
True
|
|
sqc1018
|
|
P4/mmm |
123 |
tetragonal |
{4,10} |
5 |
(2,4) |
|
G
|
False
|
|
sqc7504
|
|
I41/a |
88 |
tetragonal |
{4,12,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc7551
|
|
I41/amd |
141 |
tetragonal |
{4,12,4} |
12 |
(3,4) |
Topological data
| Vertex degrees | {4,12,4} |
| 2D vertex symbol | {3.5.5.3}{3.5.5.3.5.5.3.5.5.3.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.1:128:49 3 5 54 8 57 11 13 62 16 65 19 21 70 24 81 27 29 86 32 89 35 37 94 40 73 43 45 78 48 51 53 56 59 61 64 67 69 72 75 77 80 83 85 88 91 93 96 121 99 101 126 104 113 107 109 118 112 115 117 120 123 125 128,2 51 6 7 56 10 59 14 15 64 18 67 22 23 72 26 83 30 31 88 34 91 38 39 96 42 75 46 47 80 50 54 55 58 62 63 66 70 71 74 78 79 82 86 87 90 94 95 98 123 102 103 128 106 115 110 111 120 114 118 119 122 126 127,9 4 5 14 23 24 12 13 31 32 33 20 21 38 41 28 29 46 36 37 111 112 44 45 127 128 57 52 53 62 79 80 60 61 95 96 89 68 69 94 103 104 81 76 77 86 84 85 119 120 92 93 113 100 101 118 121 108 109 126 116 117 124 125:3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5,4 12 4 12 4 4 4 4 4 4 4 4> {(1, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 61): 't1', (1, 119): 't2*tau3^-1*t1^-1*tau2*t3', (0, 53): 't1', (2, 45): 't2^-1', (2, 40): 't2^-1', (0, 45): 't2^-1*tau3', (2, 37): 't3^-1', (2, 32): 't3^-1', (0, 37): 't3^-1*tau2^-1', (1, 95): 'tau2*t3', (0, 29): 'tau3*t2^-1', (1, 87): 't2*tau3^-1', (0, 21): 'tau2^-1*t3^-1', (1, 79): 'tau3^-1*t2', (1, 71): 't3*tau2', (2, 125): 'tau1', (2, 120): 'tau1', (1, 63): 't1', (0, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 117): 'tau1^-1', (2, 112): 'tau1^-1', (1, 55): 't1', (0, 117): 't2*tau3^-1*t1^-1*tau2*t3', (2, 93): 't3^-1', (2, 88): 't3^-1', (2, 85): 't2', (2, 80): 't2'}