U-tiling: UQC1385
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc689 |
*2244 |
(2,3,4) |
{8,4} |
{4.3.6.3.4.3.6.3}{3.6.4.6} |
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
|
False
|
|
sqc7606
|
|
P42/mmc |
131 |
tetragonal |
{4,8} |
12 |
(2,3) |
|
G
|
False
|
|
sqc7819
|
|
I-42d |
122 |
tetragonal |
{4,8} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1870
|
|
P-42m |
111 |
tetragonal |
{4,8} |
6 |
(2,3) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.6.3.4.3.6.3}{3.6.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<69.1:128:9 10 5 6 23 24 13 14 31 32 33 34 21 22 41 42 29 30 37 38 55 56 45 46 63 64 57 58 53 54 61 62 73 74 69 70 87 88 77 78 95 96 97 98 85 86 105 106 93 94 101 102 119 120 109 110 127 128 121 122 117 118 125 126,17 3 20 69 7 56 25 11 28 77 15 64 19 85 23 32 27 93 31 49 35 52 101 39 48 57 43 60 109 47 51 117 55 59 125 63 81 67 84 71 120 89 75 92 79 128 83 87 96 91 95 113 99 116 103 112 121 107 124 111 115 119 123 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:4 6 3 4 3 6 6 3 3 6 4 3 4 3 3 3,4 8 4 8 8 4 8 4 4 4 4 4> {(0, 87): 't2^-1', (1, 88): 'tau3^-1', (1, 123): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 41): 't3*tau2*t1^-1', (0, 126): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 31): 't1', (1, 51): 't3^-1', (1, 112): 'tau1^-1', (0, 62): 't3^-1*tau2^-1*t3^-1', (1, 56): 't3^-1*tau2^-1*t3^-1', (1, 27): 't1', (0, 55): 't3^-1', (1, 83): 't2^-1', (0, 118): 'tau1^-1', (0, 14): 't1^-1', (0, 94): 'tau3^-1', (0, 119): 'tau1^-1', (1, 120): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 99): 'tau1', (0, 105): 't3*tau2*t1^-1', (0, 70): 't2', (0, 63): 't3^-1*tau2^-1*t3^-1', (0, 40): 't3*tau2*t1^-1', (1, 80): 't2^-1', (1, 91): 'tau3^-1', (1, 24): 't1', (0, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 59): 't3^-1*tau2^-1*t3^-1', (0, 54): 't3^-1', (0, 104): 't3*tau2*t1^-1', (0, 79): 'tau3', (1, 63): 't3^-1*tau2^-1*t1', (1, 48): 't3^-1', (1, 127): 't3^-1*tau2^-1*t1', }