U-tiling: UQC3657
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
|
|
sqc7104
|
|
P4/mmm |
123 |
tetragonal |
{3,6,3} |
16 |
(3,4) |
|
G
|
False
|
|
sqc7593
|
|
I4122 |
98 |
tetragonal |
{3,6,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1936
|
|
P4222 |
93 |
tetragonal |
{4,6,3} |
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
<27.5:128:9 3 5 7 24 11 13 15 32 25 19 21 23 27 29 31 57 35 37 39 56 73 43 45 47 72 81 51 53 55 59 61 63 88 89 67 69 71 75 77 79 96 83 85 87 91 93 95 105 99 101 103 120 107 109 111 128 121 115 117 119 123 125 127,2 19 20 6 8 10 27 28 14 16 18 22 24 26 30 32 34 51 52 38 40 42 67 68 46 48 50 54 56 58 83 84 62 64 66 70 72 74 91 92 78 80 82 86 88 90 94 96 98 115 116 102 104 106 123 124 110 112 114 118 120 122 126 128,17 4 5 78 79 40 25 12 13 62 63 48 20 21 94 95 56 28 29 86 87 72 49 36 37 110 111 65 44 45 102 103 52 53 126 127 81 60 61 104 68 69 118 119 89 76 77 112 84 85 120 92 93 128 113 100 101 121 108 109 116 117 124 125:6 5 5 6 5 6 5 5 5 6 5 5,3 6 4 3 6 4 4 4 3 6 3 6 3 3 3 3> {(0, 56): 't3^-1', (1, 122): 'tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1', (0, 63): 't3^-1*tau2^-1', (1, 115): 'tau2*t3', (1, 114): 't1*tau3*t2^-1', (1, 123): 't1^-1*tau3^-1*t2', (0, 40): 't2', (0, 24): 't1', (2, 31): 't1', (2, 24): 't1', (0, 31): 't1', (2, 21): 't1^-1', (2, 22): 't1^-1', (1, 75): 't2^-1*tau3', (0, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 66): 'tau3*t2^-1', (0, 48): 'tau2^-1', (1, 59): 't3^-1*tau2^-1', (2, 127): 't1^-1', (2, 120): 't1^-1*tau3^-1*t2', (0, 127): 't1^-1*tau3^-1*t2', (2, 117): 't1', (2, 118): 't1', (1, 50): 'tau2^-1*t3^-1', (2, 112): 'tau2*t3', (0, 119): 'tau2*t3', (0, 104): 'tau1', (0, 88): 'tau3^-1', (2, 88): 'tau3^-1*t2', (0, 95): 'tau3^-1*t2', (1, 11): 't1^-1', (1, 2): 't1'}