U-tiling: UQC885
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc655 |
*2244 |
(2,3,3) |
{3,8} |
{4.12.6}{6.12.6.12.6.12.6.12} |
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
|
|
sqc7927
|
|
I-42d |
122 |
tetragonal |
{8,3,3} |
18 |
(3,4) |
|
D
|
False
|
|
sqc2146
|
|
P4/mmm |
123 |
tetragonal |
{3,8} |
9 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.12.6}{6.12.6.12.6.12.6.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:128:3 4 69 70 55 56 11 12 77 78 63 64 19 20 85 86 31 32 27 28 93 94 35 36 101 102 47 48 43 44 109 110 51 52 117 118 59 60 125 126 67 68 119 120 75 76 127 128 83 84 95 96 91 92 99 100 111 112 107 108 115 116 123 124,9 18 5 8 7 26 13 16 15 33 21 24 23 41 29 32 31 50 37 40 39 58 45 48 47 57 53 56 55 61 64 63 73 82 69 72 71 90 77 80 79 97 85 88 87 105 93 96 95 114 101 104 103 122 109 112 111 121 117 120 119 125 128 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:6 12 4 4 6 4 6 4 6 12,8 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3> {(0, 62): 't3^-1*tau2^-1*t1', (1, 121): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 57): 't3^-1*tau2^-1*t3^-1', (0, 126): 't3^-1*tau2^-1*t1', (1, 81): 't2^-1', (1, 49): 't3^-1', (1, 40): 't3*tau2*t1^-1', (1, 104): 't3*tau2*t1^-1', (1, 89): 'tau3^-1', (1, 25): 't1', (0, 127): 't3^-1*tau2^-1*t1', (1, 113): 'tau1^-1', (0, 63): 't3^-1*tau2^-1*t1', }