U-tiling: UQC360
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) |
|
G
|
False
|
|
sqc6300
|
|
I4122 |
98 |
tetragonal |
{3,8} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1230
|
|
P4222 |
93 |
tetragonal |
{3,8} |
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
<13.2:112:64 4 5 20 35 50 11 12 27 42 78 18 19 49 71 25 26 63 92 32 33 48 85 39 40 62 106 46 47 53 54 76 91 99 60 61 67 68 83 98 74 75 105 81 82 112 88 89 104 95 96 111 102 103 109 110,2 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 98 100 104 105 107 111 112,29 3 5 13 21 36 10 12 28 43 17 19 27 57 24 26 31 33 55 49 38 40 69 63 45 47 76 85 52 54 77 59 61 83 92 66 68 84 99 73 75 106 80 82 87 89 97 105 94 96 112 101 103 111 108 110:8 3 8 3 3 3 8 8 3 3 3 3,3 8 3 3 3 8 8 3 3 3 3 8> {(2, 97): 't2^-1*tau3*t1', (0, 103): 't1*tau3*t2^-1', (2, 27): 't1', (2, 47): 'tau2^-1', (0, 62): 't1^-1', (2, 105): 't1^-1', (0, 111): 't1^-1', (2, 61): 'tau3', (2, 54): 't3^-1', (2, 21): 't1', (2, 110): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 83): 'tau3^-1*t2', (0, 56): 't1^-1', (2, 40): 't2', (2, 55): 't3^-1*tau2^-1', (1, 79): 't1', (0, 110): 'tau2^-1*t3^-1', (0, 47): 'tau2^-1*t3^-1', (0, 19): 't1^-1', (0, 14): 't1^-1', (0, 61): 'tau3*t2^-1', (2, 96): 'tau1', (2, 26): 't1', (1, 58): 't1^-1', (2, 104): 'tau2*t3', }