U-tiling: UQC4199
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc870 |
*2244 |
(4,3,2) |
{8,3,4,4} |
{4.6.4.6.4.6.4.6}{4.6.6}{6.6.6.6... |
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
|
|
sqc1888
|
|
P4/mmm |
123 |
tetragonal |
{3,4,8,4} |
8 |
(4,3) |
|
G
|
False
|
|
sqc7933
|
|
I41/a |
88 |
tetragonal |
{8,3,4,4} |
16 |
(4,4) |
|
D
|
False
|
|
sqc7934
|
|
I41/amd |
141 |
tetragonal |
{8,3,4,4} |
16 |
(4,3) |
Topological data
| Vertex degrees | {8,3,4,4} |
| 2D vertex symbol | {4.6.4.6.4.6.4.6}{4.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<67.1:128:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,49 10 19 5 7 24 57 27 13 15 32 65 34 21 23 81 42 29 31 89 107 37 39 112 73 123 45 47 128 58 75 53 55 80 91 61 63 96 90 99 69 71 104 82 77 79 115 85 87 120 93 95 121 114 101 103 113 122 109 111 117 119 125 127,3 4 13 14 55 56 11 12 63 64 19 20 37 38 71 72 27 28 45 46 87 88 35 36 95 96 43 44 79 80 51 52 61 62 59 60 67 68 93 94 75 76 85 86 83 84 91 92 99 100 117 118 127 128 107 108 125 126 119 120 115 116 123 124:4 6 6 4 4 6 6 6 6 6 6 4,8 3 4 4 8 4 3 4 3 4 3 3 3 3 4 3> {(1, 121): 'tau1', (2, 62): 't1', (2, 63): 't1', (1, 113): 'tau1^-1', (2, 54): 't1', (2, 55): 't1', (2, 44): 't2^-1', (2, 45): 't2^-1', (2, 46): 't2^-1*tau3', (2, 47): 't2^-1*tau3', (2, 36): 't3^-1', (2, 37): 't3^-1', (2, 38): 't3^-1*tau2^-1', (2, 39): 't3^-1*tau2^-1', (2, 30): 'tau3*t2^-1', (2, 31): 'tau3*t2^-1', (2, 22): 'tau2^-1*t3^-1', (2, 23): 'tau2^-1*t3^-1', (1, 73): 't2^-1', (1, 25): 't2', (1, 65): 't3', (2, 124): 'tau1', (2, 125): 'tau1', (2, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 116): 'tau1^-1', (2, 117): 'tau1^-1', (2, 118): 't2*tau3^-1*t1^-1*tau2*t3', (2, 119): 't2*tau3^-1*t1^-1*tau2*t3', (1, 33): 't3^-1', (2, 92): 't3^-1', (2, 93): 't3^-1', (2, 84): 't2', (2, 77): 't2^-1'}