U-tiling: UQC357
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc473 |
*22222 |
(2,4,2) |
{8,3} |
{3.8.8.3.3.8.8.3}{3.8.8} |
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
|
|
sqc957
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
6 |
(2,4) |
|
G
|
False
|
|
sqc6346
|
|
I4122 |
98 |
tetragonal |
{8,3} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1140
|
|
P42/mmc |
131 |
tetragonal |
{8,3} |
6 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.1:112:15 3 5 20 14 22 10 12 27 17 19 28 24 26 43 31 33 48 56 57 38 40 62 70 45 47 77 71 52 54 76 59 61 84 78 66 68 83 73 75 80 82 99 87 89 104 98 106 94 96 111 101 103 112 108 110,2 17 6 7 9 24 13 14 16 20 21 23 27 28 30 45 34 35 37 59 41 42 44 48 49 51 73 55 56 58 62 63 65 80 69 70 72 76 77 79 83 84 86 101 90 91 93 108 97 98 100 104 105 107 111 112,29 4 5 69 21 36 11 12 55 28 43 18 19 83 57 25 26 76 32 33 97 49 39 40 90 63 46 47 111 85 53 54 77 60 61 104 92 67 68 84 99 74 75 106 81 82 88 89 105 95 96 112 102 103 109 110:3 8 3 3 8 3 8 3 3 3 8 3,8 3 8 3 8 8 3 3 3 3 3 3> {(2, 61): 't1^-1', (0, 62): 'tau3', (0, 63): 't2^-1*tau3', (0, 61): 'tau3*t2^-1', (0, 48): 'tau2^-1', (2, 55): 't3^-1*tau2^-1', (0, 55): 't3^-1', (1, 107): 't1^-1*tau3^-1*t2', (0, 41): 't2', (0, 47): 'tau2^-1*t3^-1', (2, 56): 't1^-1', (1, 100): 'tau2*t3', (0, 27): 't1', (2, 27): 't1', (2, 19): 't1^-1', (1, 72): 'tau2*t3', (1, 79): 'tau3^-1*t2', (0, 7): 't1^-1', (0, 5): 't1', (0, 49): 't3^-1*tau2^-1', (0, 104): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 111): 't1^-1*tau3^-1*t2', (0, 110): 'tau2^-1*t3^-1', (2, 105): 't1^-1', (0, 97): 'tau1', (0, 103): 't1*tau3*t2^-1', (0, 91): 't2^-1*tau3*t1', (2, 90): 't3^-1*tau2^-1', (0, 84): 't3^-1*tau2^-1', (1, 9): 't1^-1', (2, 69): 't2^-1*tau3'}