U-tiling: UQC4181
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc859 |
*2244 |
(4,4,2) |
{8,4,4,4} |
{5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5... |
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
|
False
|
|
sqc1847
|
|
P4/mmm |
123 |
tetragonal |
{8,4,4,4} |
6 |
(4,4) |
|
G
|
False
|
|
sqc7543
|
|
I41/a |
88 |
tetragonal |
{4,8,4,4} |
12 |
(4,4) |
|
D
|
False
|
|
sqc7857
|
|
I41/amd |
141 |
tetragonal |
{4,8,4,4} |
12 |
(4,4) |
Topological data
| Vertex degrees | {8,4,4,4} |
| 2D vertex symbol | {5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.1:128:17 6 19 5 8 25 14 27 13 16 22 21 24 30 29 32 105 38 107 37 40 121 46 123 45 48 73 54 75 53 56 89 62 91 61 64 97 70 99 69 72 78 77 80 113 86 115 85 88 94 93 96 102 101 104 110 109 112 118 117 120 126 125 128,2 4 21 7 24 10 12 29 15 32 18 20 23 26 28 31 34 36 109 39 112 42 44 125 47 128 50 52 77 55 80 58 60 93 63 96 66 68 101 71 104 74 76 79 82 84 117 87 120 90 92 95 98 100 103 106 108 111 114 116 119 122 124 127,3 10 52 53 14 55 56 11 60 61 63 64 19 34 68 69 38 71 72 27 42 84 85 46 87 88 35 92 93 95 96 43 76 77 79 80 51 58 62 59 67 90 94 75 82 86 83 91 99 114 124 125 118 127 128 107 122 116 117 126 119 120 115 123:5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3,8 4 4 4 4 4 8 4 8 4 8 4> {(2, 62): 't1', (2, 63): 't1', (2, 54): 't1', (2, 55): 't1', (2, 45): 't2^-1', (2, 46): 't2^-1*tau3', (2, 47): 't2^-1*tau3', (2, 41): 't2^-1', (2, 37): 't3^-1', (2, 38): 't3^-1*tau2^-1', (2, 39): 't3^-1*tau2^-1', (2, 33): 't3^-1', (2, 30): 'tau3*t2^-1', (2, 31): 'tau3*t2^-1', (2, 22): 'tau2^-1*t3^-1', (2, 23): 'tau2^-1*t3^-1', (2, 125): 'tau1', (2, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 121): 'tau1', (2, 117): 'tau1^-1', (2, 118): 't2*tau3^-1*t1^-1*tau2*t3', (2, 119): 't2*tau3^-1*t1^-1*tau2*t3', (2, 113): 'tau1^-1', (2, 93): 't3^-1', (2, 89): 't3^-1', (2, 85): 't2', (2, 81): 't2'}