U-tiling: UQC1010
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc743 |
*2244 |
(2,4,3) |
{5,3} |
{4.16.3.3.16}{16.16.3} |
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
|
|
sqc7991
|
|
I-42d |
122 |
tetragonal |
{5,3} |
16 |
(2,5) |
|
D
|
False
|
|
sqc2161
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.16.3.3.16}{16.16.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.1:128:65 4 5 14 23 24 73 12 13 31 32 81 20 21 38 89 28 29 46 97 36 37 55 56 105 44 45 63 64 113 52 53 62 121 60 61 68 69 78 87 88 76 77 95 96 84 85 102 92 93 110 100 101 119 120 108 109 127 128 116 117 126 124 125,2 7 68 6 56 10 15 76 14 64 18 23 84 22 32 26 31 92 30 34 39 100 38 48 42 47 108 46 50 55 116 54 58 63 124 62 66 71 70 120 74 79 78 128 82 87 86 96 90 95 94 98 103 102 112 106 111 110 114 119 118 122 127 126,49 3 5 70 8 57 11 13 78 16 25 19 21 86 24 27 29 94 32 41 35 37 102 40 43 45 110 48 51 53 118 56 59 61 126 64 113 67 69 72 121 75 77 80 89 83 85 88 91 93 96 105 99 101 104 107 109 112 115 117 120 123 125 128:3 16 4 3 3 3 3 3 3 3 16 4,5 3 5 3 5 3 3 5 3 3 3 3 5 5 5 5> {(0, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 55): 't3^-1', (2, 56): 't3^-1*tau2^-1*t1', (0, 31): 't1', (0, 87): 't2^-1', (0, 63): 't3^-1*tau2^-1*t3^-1', (0, 110): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 62): 't3^-1*tau2^-1*t3^-1', (0, 45): 't3*tau2*t1^-1', (2, 120): 't3^-1*tau2^-1*t1', (0, 119): 'tau1^-1', (0, 95): 'tau3^-1', (0, 109): 't3*tau2*t1^-1', (0, 86): 't2^-1', (0, 118): 'tau1^-1', (0, 30): 't1', (1, 127): 't3^-1*tau2^-1*t1', (0, 54): 't3^-1', (0, 94): 'tau3^-1', (1, 63): 't3^-1*tau2^-1*t1', }