U-tiling: UQC3665
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc803 |
*22222 |
(3,4,2) |
{3,6,4} |
{6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
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
|
True
|
|
sqc7302
|
|
P4/mmm |
123 |
tetragonal |
{3,6,3} |
16 |
(3,4) |
|
G
|
False
|
|
sqc7775
|
|
I4122 |
98 |
tetragonal |
{3,6,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc2152
|
|
P4222 |
93 |
tetragonal |
{3,6,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {3,6,4} |
| 2D vertex symbol | {6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:128:17 3 5 7 40 25 11 13 15 48 19 21 23 56 27 29 31 72 49 35 37 39 65 43 45 47 51 53 55 81 59 61 63 104 67 69 71 89 75 77 79 112 83 85 87 120 91 93 95 128 113 99 101 103 121 107 109 111 115 117 119 123 125 127,2 11 36 6 8 10 44 14 16 18 27 52 22 24 26 68 30 32 34 59 38 40 42 75 46 48 50 83 54 56 58 100 62 64 66 91 70 72 74 108 78 80 82 116 86 88 90 124 94 96 98 107 102 104 106 110 112 114 123 118 120 122 126 128,33 4 5 22 23 80 41 12 13 30 31 64 49 20 21 96 65 28 29 88 36 37 54 55 112 44 45 70 71 104 52 53 128 97 60 61 86 87 68 69 120 105 76 77 94 95 113 84 85 121 92 93 100 101 118 119 108 109 126 127 116 117 124 125:6 5 5 5 5 6 6 5 5 5 5 6,3 6 4 3 4 3 3 6 4 6 4 3 3 3 3 6> {(0, 56): 't3^-1*tau2^-1', (1, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 53): 'tau2^-1*t3^-1', (2, 54): 'tau2^-1*t3^-1', (1, 123): 't1^-1', (2, 45): 't2*tau3^-1', (2, 46): 't2*tau3^-1', (1, 106): 'tau1', (1, 90): 'tau3^-1', (2, 24): 't1', (0, 31): 't1', (2, 21): 't1^-1', (2, 22): 't1^-1', (1, 82): 'tau2', (0, 8): 't1^-1', (1, 74): 't2^-1', (1, 67): 't1^-1', (2, 125): 'tau2^-1*t3^-1', (0, 120): 't1^-1*tau3^-1*t2', (1, 58): 't3^-1', (2, 120): 't1^-1', (0, 127): 't1^-1', (2, 117): 't1*tau3*t2^-1', (2, 118): 't1*tau3*t2^-1', (2, 119): 't1', (2, 23): 't1^-1', (2, 126): 'tau2^-1*t3^-1', (0, 96): 't3^-1*tau2^-1', (1, 18): 't1^-1', (0, 72): 't2^-1*tau3'}