U-tiling: UQC3730
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc819 |
*22222 |
(3,4,2) |
{4,4,4} |
{3.10.10.3}{3.10.3.10}{10.10.10.10} |
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
|
|
sqc7332
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
|
G
|
False
|
|
sqc7768
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc2172
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {3.10.10.3}{3.10.3.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.1:128:17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 65 43 45 47 72 51 53 55 81 59 61 63 88 67 69 71 89 75 77 79 96 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127,2 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 98 115 102 109 104 106 123 110 112 114 118 125 120 122 126 128,33 4 5 38 39 80 41 12 13 46 47 64 49 20 21 54 55 96 65 28 29 70 71 88 36 37 112 44 45 104 52 53 128 97 60 61 102 103 68 69 120 105 76 77 110 111 113 84 85 118 119 121 92 93 126 127 100 101 108 109 116 117 124 125:3 10 3 3 10 3 10 3 3 3 10 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 56): 't3^-1*tau2^-1', (1, 122): 't1^-1*tau3^-1*t2', (1, 124): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 114): 'tau2*t3', (2, 126): 't1^-1', (0, 47): 't2*tau3^-1', (0, 39): 't3*tau2', (1, 60): 't3^-1', (2, 29): 't1', (2, 30): 't1', (1, 90): 'tau3^-1*t2', (2, 24): 't1', (2, 23): 't1^-1', (1, 82): 'tau2*t3', (0, 23): 't1^-1', (1, 100): 'tau1^-1', (0, 8): 't1^-1', (1, 76): 't2^-1', (2, 125): 't1^-1', (0, 120): 't1^-1*tau3^-1*t2', (2, 120): 't1^-1', (0, 127): 'tau2^-1*t3^-1', (0, 112): 'tau2*t3', (2, 119): 't1', (1, 52): 'tau2^-1', (0, 103): 't2*tau3^-1*t1^-1', (1, 92): 'tau3^-1', (1, 26): 't1', (1, 28): 't1', (0, 72): 't2^-1*tau3'}