U-tiling: UQC380
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc477 |
*22222 |
(2,4,2) |
{4,6} |
{6.4.4.6}{6.4.4.6.4.4} |
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
|
|
sqc1101
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
6 |
(2,4) |
|
G
|
False
|
|
sqc6631
|
|
I4122 |
98 |
tetragonal |
{6,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1246
|
|
P4222 |
93 |
tetragonal |
{6,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {6.4.4.6}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.3:112:15 4 5 20 21 22 11 12 27 28 18 19 25 26 43 32 33 48 49 57 39 40 62 63 46 47 71 53 54 76 77 60 61 78 67 68 83 84 74 75 81 82 99 88 89 104 105 106 95 96 111 112 102 103 109 110,2 31 6 7 9 38 13 14 16 45 20 21 23 59 27 28 30 34 35 37 41 42 44 48 49 51 87 55 56 58 62 63 65 94 69 70 72 101 76 77 79 108 83 84 86 90 91 93 97 98 100 104 105 107 111 112,64 3 5 13 14 50 10 12 78 17 19 27 28 71 24 26 92 31 33 55 56 85 38 40 69 70 106 45 47 76 77 52 54 99 59 61 83 84 66 68 73 75 80 82 87 89 97 98 94 96 101 103 111 112 108 110:4 6 4 6 4 4 4 6 4 6 4 4,6 4 6 6 4 6 4 4 4 4 4 4> {(2, 97): 'tau1', (0, 103): 't1*tau3*t2^-1', (2, 27): 't1', (2, 47): 'tau2^-1', (2, 14): 't1^-1', (2, 56): 't1^-1', (0, 84): 't2*tau3^-1*t1^-1', (1, 79): 't1', (0, 55): 't3^-1*tau2^-1', (2, 96): 'tau1', (0, 97): 't2^-1*tau3*t1', (0, 56): 'tau3*t2^-1', (2, 41): 't2', (0, 69): 't2^-1*tau3', (0, 14): 't1^-1', (2, 61): 'tau3', (0, 90): 't3^-1*tau2^-1', (2, 54): 't3^-1', (0, 61): 'tau3*t2^-1', (0, 110): 'tau2^-1*t3^-1', (0, 19): 't1^-1', (0, 105): 'tau2^-1*t3^-1', (1, 58): 't1^-1', (2, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 19): 't1^-1', (0, 33): 't3*tau2', (0, 42): 'tau2^-1*t3^-1', (2, 48): 'tau2^-1', (2, 62): 'tau3', (2, 40): 't2', (0, 27): 't1', (2, 55): 't3^-1', (2, 104): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', }