U-tiling: UQC964
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc710 |
*2244 |
(2,4,3) |
{20,3} |
{4.3.4.4.3.4.3.4.4.3.4.3.4.4.3.4... |
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
|
|
sqc7398
|
|
I-42d |
122 |
tetragonal |
{3,20} |
10 |
(2,5) |
|
D
|
False
|
|
sqc14633
|
|
P4/mmm |
123 |
tetragonal |
{20,3} |
5 |
(2,4) |
Topological data
| Vertex degrees | {20,3} |
| 2D vertex symbol | {4.3.4.4.3.4.3.4.4.3.4.3.4.4.3.4.3.4.4.3}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.1:128:65 4 5 70 55 56 73 12 13 78 63 64 81 20 21 86 31 32 89 28 29 94 97 36 37 102 47 48 105 44 45 110 113 52 53 118 121 60 61 126 68 69 119 120 76 77 127 128 84 85 95 96 92 93 100 101 111 112 108 109 116 117 124 125,2 51 6 7 24 10 59 14 15 32 18 27 22 23 26 30 31 34 43 38 39 56 42 46 47 64 50 54 55 58 62 63 66 115 70 71 88 74 123 78 79 96 82 91 86 87 90 94 95 98 107 102 103 120 106 110 111 128 114 118 119 122 126 127,49 3 5 14 8 57 11 13 16 25 19 21 38 24 27 29 46 32 41 35 37 40 43 45 48 51 53 62 56 59 61 64 113 67 69 78 72 121 75 77 80 89 83 85 102 88 91 93 110 96 105 99 101 104 107 109 112 115 117 126 120 123 125 128:4 3 4 4 3 4 3 4 4 3 4 4 4 3 4 3 3 3,3 20 3 3 3 3 20 3 3 3> {(0, 63): 't3^-1*tau2^-1*t1', (2, 56): 't3^-1*tau2^-1*t1', (1, 55): 't3^-1', (1, 122): 't3^-1*tau2^-1*t1', (2, 45): 't3*tau2*t1^-1', (0, 126): 't3^-1*tau2^-1*t1', (0, 62): 't3^-1*tau2^-1*t1', (2, 109): 't3*tau2*t1^-1', (2, 120): 't3^-1*tau2^-1*t1', (1, 119): 'tau1^-1', (1, 58): 't3^-1*tau2^-1*t1', (1, 63): 't3^-1*tau2^-1*t3^-1', (0, 79): 't1^-1*tau2*t3', (1, 31): 't1', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 87): 't2^-1', (1, 95): 'tau3^-1', }