U-tiling: UQC696
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc603 |
*22222 |
(2,5,3) |
{4,8} |
{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
|
|
sqc5699
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7409
|
|
I4122 |
98 |
tetragonal |
{4,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1590
|
|
P4222 |
93 |
tetragonal |
{4,8} |
6 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.4:128:9 18 19 5 22 23 40 26 27 13 30 31 48 25 21 56 29 72 57 50 51 37 54 55 73 66 67 45 70 71 81 53 82 83 61 86 87 104 89 69 90 91 77 94 95 112 85 120 93 128 105 114 115 101 118 119 122 123 109 126 127 121 117 125,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 3 20 21 7 80 25 11 28 29 15 64 19 23 96 27 31 88 49 35 52 53 39 112 65 43 68 69 47 104 51 55 128 81 59 84 85 63 67 71 120 89 75 92 93 79 83 87 91 95 113 99 116 117 103 121 107 124 125 111 115 119 123 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 8 4 8 4 8 4 8 4 4 4 4> {(0, 29): 't1', (2, 20): 't1^-1', (0, 117): 'tau2*t3', (2, 43): 't2*tau3^-1', (0, 48): 'tau2^-1', (0, 125): 't1^-1*tau3^-1*t2', (2, 116): 't1*tau3*t2^-1', (0, 104): 'tau1', (0, 30): 't1', (0, 118): 'tau2*t3', (0, 89): 'tau3^-1*t2', (0, 56): 't3^-1', (2, 40): 't2*tau3^-1', (2, 124): 'tau2^-1*t3^-1', (0, 126): 't1^-1*tau3^-1*t2', (0, 90): 'tau3^-1*t2', (0, 61): 't3^-1*tau2^-1', (2, 52): 'tau2^-1*t3^-1', (0, 40): 't2', (2, 19): 't1^-1', (0, 25): 't1', (0, 113): 'tau2*t3', (2, 115): 't1*tau3*t2^-1', (0, 62): 't3^-1*tau2^-1', (2, 16): 't1^-1', (0, 121): 't1^-1*tau3^-1*t2', (0, 88): 'tau3^-1', (0, 26): 't1', (2, 123): 'tau2^-1*t3^-1', (0, 114): 'tau2*t3', (2, 44): 't2*tau3^-1', (2, 112): 't1*tau3*t2^-1', (0, 122): 't1^-1*tau3^-1*t2', (0, 93): 'tau3^-1*t2', (0, 31): 't1', (2, 51): 'tau2^-1*t3^-1', (2, 120): 'tau2^-1*t3^-1', (0, 57): 't3^-1*tau2^-1', (0, 24): 't1', (2, 23): 't1^-1', (0, 127): 't1^-1', (0, 94): 'tau3^-1*t2', (2, 48): 'tau2^-1*t3^-1', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 119): 't1', (0, 58): 't3^-1*tau2^-1', }