U-tiling: UQC3656
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) |
|
G
|
False
|
|
sqc7580
|
|
I4122 |
98 |
tetragonal |
{3,6,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc14586
|
|
P42/mcm |
132 |
tetragonal |
{3,4,6} |
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
<27.3:128:73 3 5 7 24 57 11 13 15 32 89 19 21 23 81 27 29 31 105 35 37 39 56 97 43 45 47 72 121 51 53 55 59 61 63 88 113 67 69 71 75 77 79 96 83 85 87 91 93 95 99 101 103 120 107 109 111 128 115 117 119 123 125 127,2 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 98 116 102 104 106 124 110 112 114 118 120 122 126 128,17 4 5 22 23 16 25 12 13 30 31 20 21 32 28 29 49 36 37 54 55 64 65 44 45 70 71 80 52 53 88 81 60 61 86 87 68 69 96 89 76 77 94 95 84 85 92 93 113 100 101 118 119 112 121 108 109 126 127 116 117 128 124 125:6 5 6 5 6 6 5 5 5 5 5 5,3 6 4 3 6 3 4 3 4 3 6 3 6 3 4 3> {(2, 61): 't3^-1*tau2^-1', (2, 62): 't3^-1*tau2^-1', (2, 63): 't3^-1', (1, 115): 't1*tau3*t2^-1', (2, 55): 'tau2^-1', (2, 48): 'tau2^-1*t3^-1', (0, 55): 'tau2^-1*t3^-1', (1, 107): 't3*tau2', (2, 47): 't2', (2, 40): 't2*tau3^-1', (0, 47): 't2*tau3^-1', (2, 29): 't1', (2, 30): 't1', (1, 90): 't1', (0, 16): 't1^-1', (2, 23): 't1^-1', (2, 16): 't1^-1', (0, 23): 't1^-1', (1, 67): 'tau3*t2^-1', (1, 66): 't1^-1', (0, 112): 't1', (2, 125): 't1^-1*tau3^-1*t2', (2, 126): 't1^-1*tau3^-1*t2', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 120): 'tau2^-1*t3^-1', (0, 127): 'tau2^-1*t3^-1', (2, 118): 'tau2*t3', (2, 117): 'tau2*t3', (1, 51): 'tau2^-1*t3^-1', (2, 112): 't1*tau3*t2^-1', (0, 119): 't1*tau3*t2^-1', (2, 111): 'tau1', (2, 93): 'tau3^-1*t2', (2, 94): 'tau3^-1*t2', (2, 95): 'tau3^-1', (1, 19): 't1^-1'}