U-tiling: UQC492
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc333 |
*2244 |
(2,4,3) |
{6,4} |
{4.8.3.3.8.4}{3.3.3.3} |
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
|
|
sqc1238
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
5 |
(2,4) |
|
G
|
False
|
|
sqc6314
|
|
I41/a |
88 |
tetragonal |
{4,6} |
10 |
(2,4) |
|
D
|
False
|
|
sqc6321
|
|
I41/amd |
141 |
tetragonal |
{4,6} |
10 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.3.3.8.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.1:112:2 17 18 47 48 14 9 24 25 54 55 16 61 62 35 23 75 76 42 30 94 95 82 83 37 108 109 68 69 44 66 67 56 51 80 81 58 87 88 84 65 77 72 101 102 79 86 110 111 105 93 103 104 112 100 107,15 3 5 7 22 10 12 14 17 19 21 24 26 28 92 31 33 35 106 38 40 42 64 45 47 49 78 52 54 56 85 59 61 63 66 68 70 99 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112,43 44 4 6 49 50 51 11 13 56 57 58 18 20 63 71 72 25 27 77 78 79 32 34 84 64 65 39 41 70 46 48 53 55 60 62 67 69 74 76 81 83 106 107 88 90 112 99 100 95 97 105 102 104 109 111:3 8 4 3 8 4 4 3 3 3 3 3 3 4,4 6 4 6 6 6 6 6 6 6> {(0, 103): 't2*tau3^-1*t1^-1*tau2*t3', (0, 41): 't2^-1', (0, 62): 't3', (0, 34): 't3^-1', (0, 111): 'tau1', (0, 26): 'tau3*t2^-1', (0, 104): 'tau1^-1', (0, 46): 't1', (0, 39): 't2^-1*tau3', (0, 60): 't3*tau2', (0, 53): 't1', (0, 32): 't3^-1*tau2^-1', (0, 109): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 76): 't2', (0, 47): 't1', (0, 61): 't3*tau2', (0, 102): 't2*tau3^-1*t1^-1*tau2*t3', (0, 40): 't2^-1*tau3', (0, 33): 't3^-1*tau2^-1', (0, 54): 't1', (0, 25): 'tau3*t2^-1', (0, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', }