U-tiling: UQC936
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc674 |
*22222 |
(2,4,3) |
{5,3} |
{4.8.4.8.4}{8.8.4} |
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
|
False
|
|
sqc8005
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
16 |
(2,4) |
|
G
|
False
|
|
sqc8006
|
|
I4122 |
98 |
tetragonal |
{3,5} |
16 |
(2,5) |
|
D
|
False
|
|
sqc2163
|
|
P4222 |
93 |
tetragonal |
{5,3} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.8.4.8.4}{8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:128:33 4 5 78 79 24 41 12 13 62 63 32 49 20 21 94 95 65 28 29 86 87 36 37 110 111 56 44 45 102 103 72 52 53 126 127 97 60 61 88 68 69 118 119 105 76 77 96 113 84 85 121 92 93 100 101 120 108 109 128 116 117 124 125,2 19 6 13 8 10 27 14 16 18 22 29 24 26 30 32 34 51 38 61 40 42 67 46 77 48 50 54 85 56 58 83 62 64 66 70 93 72 74 91 78 80 82 86 88 90 94 96 98 115 102 109 104 106 123 110 112 114 118 125 120 122 126 128,17 3 5 7 16 25 11 13 15 19 21 23 32 27 29 31 49 35 37 39 64 65 43 45 47 80 51 53 55 88 81 59 61 63 67 69 71 96 89 75 77 79 83 85 87 91 93 95 113 99 101 103 112 121 107 109 111 115 117 119 128 123 125 127:8 4 4 8 4 8 8 4 4 4 4 4,3 5 3 5 3 5 3 5 5 3 5 3 3 5 3 5> {(1, 98): 't3^-1*tau2^-1', (2, 120): 't1^-1*tau3^-1*t2', (0, 118): 't1', (1, 60): 't3^-1', (2, 47): 't2', (2, 88): 'tau3^-1*t2', (0, 117): 't1', (2, 56): 't3^-1*tau2^-1', (1, 68): 'tau3', (0, 55): 'tau2^-1*t3^-1', (0, 111): 't3*tau2', (0, 22): 't1^-1', (2, 103): 'tau1^-1', (1, 124): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 95): 'tau3^-1', (0, 47): 't2*tau3^-1', (0, 24): 't1', (1, 84): 'tau2', (1, 82): 'tau2*t3', (0, 119): 't1*tau3*t2^-1', (1, 76): 't2^-1', (1, 122): 't1^-1*tau3^-1*t2', (0, 21): 't1^-1', (2, 24): 't1', (1, 100): 'tau1^-1', (0, 23): 't1^-1', (2, 112): 'tau2*t3', (2, 63): 't3^-1', (1, 20): 't1^-1', (2, 31): 't1', (1, 74): 't2^-1*tau3', (0, 120): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 55): 'tau2^-1', (1, 10): 't1^-1', }