U-tiling: UQC784
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc620 |
*22222 |
(2,4,3) |
{5,3} |
{4.6.6.6.4}{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) |
|
G
|
False
|
|
sqc7454
|
|
I4122 |
98 |
tetragonal |
{3,5} |
16 |
(2,5) |
|
D
|
False
|
|
sqc14582
|
|
P4222 |
93 |
tetragonal |
{3,5} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.6.6.6.4}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.2:128:73 4 5 22 23 16 57 12 13 30 31 89 20 21 32 81 28 29 105 36 37 54 55 64 97 44 45 70 71 80 121 52 53 88 60 61 86 87 113 68 69 96 76 77 94 95 84 85 92 93 100 101 118 119 112 108 109 126 127 116 117 128 124 125,2 35 20 6 8 10 43 28 14 16 18 51 22 24 26 67 30 32 34 52 38 40 42 68 46 48 50 54 56 58 99 84 62 64 66 70 72 74 107 92 78 80 82 115 86 88 90 123 94 96 98 116 102 104 106 124 110 112 114 118 120 122 126 128,33 3 5 7 24 41 11 13 15 32 49 19 21 23 65 27 29 31 35 37 39 56 43 45 47 72 51 53 55 97 59 61 63 88 67 69 71 105 75 77 79 96 113 83 85 87 121 91 93 95 99 101 103 120 107 109 111 128 115 117 119 123 125 127:6 6 4 6 6 6 4 6 4 6 6 4,3 5 3 5 3 3 5 5 3 5 3 5 3 3 5 5> {(0, 39): 't3', (0, 16): 't1^-1', (0, 29): 't1', (1, 67): 'tau3*t2^-1', (2, 47): 't2*tau3^-1', (0, 126): 't1^-1*tau3^-1*t2', (2, 88): 't1', (0, 117): 'tau2*t3', (0, 62): 't3^-1*tau2^-1', (0, 125): 't1^-1*tau3^-1*t2', (0, 55): 'tau2^-1', (0, 111): 'tau1', (1, 3): 't1', (2, 127): 'tau2^-1*t3^-1', (0, 47): 't2', (0, 118): 'tau2*t3', (0, 14): 't1^-1', (2, 23): 't1^-1', (0, 94): 'tau3^-1*t2', (1, 66): 't1^-1', (0, 61): 't3^-1*tau2^-1', (1, 35): 't3*tau2', (0, 93): 'tau3^-1*t2', (0, 64): 't1^-1', (1, 122): 't1^-1', (0, 95): 'tau3^-1', (2, 24): 't1', (0, 23): 't1^-1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 115): 't1*tau3*t2^-1', (2, 119): 't1*tau3*t2^-1', (1, 107): 't3*tau2', (2, 55): 'tau2^-1*t3^-1', }