U-tiling: UQC3813
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
|
True
|
|
sqc7170
|
|
P42/mmc |
131 |
tetragonal |
{10,4,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc7729
|
|
I-42d |
122 |
tetragonal |
{12,4,4} |
12 |
(3,5) |
|
D
|
False
|
|
sqc1792
|
|
P-42m |
111 |
tetragonal |
{12,4,4} |
6 |
(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
<63.1:128:65 3 5 7 72 73 11 13 15 80 81 19 21 23 88 89 27 29 31 96 97 35 37 39 104 105 43 45 47 112 113 51 53 55 120 121 59 61 63 128 67 69 71 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 8 20 6 23 10 16 28 14 31 18 24 22 26 32 30 34 40 52 38 55 42 48 60 46 63 50 56 54 58 64 62 66 72 84 70 87 74 80 92 78 95 82 88 86 90 96 94 98 104 116 102 119 106 112 124 110 127 114 120 118 122 128 126,9 4 5 54 55 56 12 13 62 63 64 33 20 21 30 31 32 41 28 29 36 37 46 47 48 44 45 57 52 53 60 61 73 68 69 118 119 120 76 77 126 127 128 97 84 85 94 95 96 105 92 93 100 101 110 111 112 108 109 121 116 117 124 125:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,12 4 4 4 4 4 12 4 4 4 4 4> {(2, 61): 't3^-1*tau2^-1*t1', (1, 123): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t1', (1, 126): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 115): 'tau1^-1', (2, 62): 't3^-1*tau2^-1*t1', (1, 118): 'tau1^-1', (2, 40): 't3*tau2*t1^-1', (1, 91): 'tau3^-1', (1, 94): 'tau3^-1', (1, 83): 't2^-1', (1, 86): 't2^-1', (2, 125): 't3^-1*tau2^-1*t1', (1, 59): 't3^-1*tau2^-1*t3^-1', (2, 127): 't3^-1*tau2^-1*t1', (1, 62): 't3^-1*tau2^-1*t3^-1', (1, 51): 't3^-1', (1, 54): 't3^-1', (2, 104): 't3*tau2*t1^-1', (2, 126): 't3^-1*tau2^-1*t1', (1, 27): 't1', (1, 30): 't1'}