U-tiling: UQC963
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) |
|
P
|
True
|
|
sqc987
|
|
P4/mmm |
123 |
tetragonal |
{3,14} |
5 |
(2,4) |
|
G
|
False
|
|
sqc7399
|
|
I41/a |
88 |
tetragonal |
{3,20} |
10 |
(2,5) |
|
D
|
True
|
|
sqc6245
|
|
I41/amd |
141 |
tetragonal |
{3,16} |
10 |
(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
<55.1:128:9 4 5 14 55 56 12 13 63 64 33 20 21 38 71 72 41 28 29 46 87 88 36 37 95 96 44 45 79 80 57 52 53 62 60 61 89 68 69 94 81 76 77 86 84 85 92 93 113 100 101 118 127 128 121 108 109 126 119 120 116 117 124 125,2 51 6 7 24 10 59 14 15 32 18 67 22 23 26 83 30 31 34 91 38 39 112 42 75 46 47 128 50 54 55 80 58 62 63 96 66 70 71 104 74 78 79 82 86 87 120 90 94 95 98 123 102 103 106 115 110 111 114 118 119 122 126 127,49 3 5 54 8 57 11 13 62 16 65 19 21 70 24 81 27 29 86 32 89 35 37 94 40 73 43 45 78 48 51 53 56 59 61 64 67 69 72 75 77 80 83 85 88 91 93 96 121 99 101 126 104 113 107 109 118 112 115 117 120 123 125 128:4 3 4 3 4 4 3 4 3 3 3 4 4 4 4 3 4 3,3 20 3 20 3 3 3 3 3 3> {(0, 88): 't3^-1', (0, 80): 't2', (0, 93): 't3^-1', (2, 53): 't1', (0, 112): 'tau1^-1', (2, 117): 't2*tau3^-1*t1^-1*tau2*t3', (2, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 117): 'tau1^-1', (2, 45): 't2^-1*tau3', (0, 125): 'tau1', (0, 32): 't3^-1', (0, 45): 't2^-1', (2, 21): 'tau2^-1*t3^-1', (2, 37): 't3^-1*tau2^-1', (0, 40): 't2^-1', (0, 120): 'tau1', (0, 37): 't3^-1', (2, 29): 'tau3*t2^-1', (2, 61): 't1', (0, 85): 't2', }