U-tiling: UQC3591
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc779 |
*2244 |
(3,4,2) |
{3,4,4} |
{20.3.20}{20.20.3.3}{20.20.20.20} |
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
|
|
sqc8053
|
|
I-42d |
122 |
tetragonal |
{3,4,4} |
18 |
(3,5) |
|
D
|
False
|
|
sqc2169
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4} |
9 |
(3,4) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {20.3.20}{20.20.3.3}{20.20.20.20} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:128:49 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 99 101 104 107 109 112 115 117 120 123 125 128,2 7 68 6 24 10 15 76 14 32 18 23 84 22 26 31 92 30 34 39 100 38 56 42 47 108 46 64 50 55 116 54 58 63 124 62 66 71 70 88 74 79 78 96 82 87 86 90 95 94 98 103 102 120 106 111 110 128 114 119 118 122 127 126,65 4 5 14 15 16 73 12 13 81 20 21 38 39 40 89 28 29 46 47 48 97 36 37 105 44 45 113 52 53 62 63 64 121 60 61 68 69 78 79 80 76 77 84 85 102 103 104 92 93 110 111 112 100 101 108 109 116 117 126 127 128 124 125:20 3 3 3 3 3 3 3 3 20,3 4 4 3 3 4 3 4 3 3 3 4 3 4 4 4 4 4> {(0, 56): 't3^-1*tau2^-1*t1', (1, 95): 'tau3^-1', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 109): 't3*tau2*t1^-1', (1, 55): 't3^-1', (0, 120): 't3^-1*tau2^-1*t1', (1, 119): 'tau1^-1', (2, 45): 't3*tau2*t1^-1', (2, 46): 't3*tau2*t1^-1', (2, 47): 't3*tau2*t1^-1', (1, 87): 't2^-1', (2, 111): 't3*tau2*t1^-1', (2, 110): 't3*tau2*t1^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (1, 31): 't1'}