U-tiling: UQC3120
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2393 |
*222222 |
(2,7,6) |
{5,5} |
{4.8.3.4.4}{3.8.4.4.8} |
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
|
|
sqc6699
|
|
P4/mmm |
123 |
tetragonal |
{4,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7138
|
|
I212121 |
24 |
orthorhombic |
{5,5,5} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1526
|
|
P222 |
16 |
orthorhombic |
{5,5} |
6 |
(2,7) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {4.8.3.4.4}{3.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:120:31 62 63 6 7 23 24 40 41 72 73 29 30 46 77 78 21 22 55 56 87 88 92 93 36 37 53 54 102 103 59 60 107 108 51 52 117 118 91 66 67 83 84 100 101 89 90 106 81 82 115 116 96 97 113 114 119 120 111 112,2 4 20 8 15 10 12 14 17 19 23 30 25 27 29 32 34 50 38 45 40 42 44 47 49 53 60 55 57 59 62 64 80 68 75 70 72 74 77 79 83 90 85 87 89 92 94 110 98 105 100 102 104 107 109 113 120 115 117 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 8 3 4 4 4 4 4 8 3 4 3 4 3,5 5 5 5 5 5 5 5 5 5 5 5> {(0, 39): 't3', (0, 16): 't1^-1', (0, 115): 'tau2^-1*t3^-1*tau1*t2', (0, 89): 'tau3^-1*t2', (0, 41): 't3*tau1^-1', (0, 112): 'tau2^-1*t3^-1', (0, 53): 'tau2^-1*t3^-1', (0, 55): 'tau2^-1*t1', (1, 94): 't2^-1*tau3*t1', (0, 22): 't1^-1', (0, 12): 't2', (0, 57): 't3*tau1^-1*t2^-1*tau3*t1', (2, 105): 't1^-1*tau3^-1*t2', (0, 88): 'tau3^-1*t2', (1, 64): 't2^-1*tau3', (0, 100): 'tau1*t2', (0, 17): 't1^-1', (0, 26): 'tau3', (0, 119): 't1^-1*tau3^-1*t2', (0, 105): 't1^-1', (0, 114): 'tau2^-1*t3^-1*tau1*t2', (0, 69): 't2^-1*tau1^-1', (0, 40): 't3', (0, 11): 't2', (0, 52): 'tau2^-1*t3^-1', (0, 42): 't3*tau1^-1', (0, 23): 't1^-1', (0, 54): 'tau2^-1*t1', (0, 103): 't2^-1*tau3*t1', (0, 56): 't3*tau1^-1*t2^-1*tau3*t1', (0, 27): 'tau3', (0, 113): 'tau2^-1*t3^-1', (2, 60): 't2^-1*tau3', }