U-tiling: UQC423
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
False
|
|
sqc8091
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
16 |
(2,5) |
|
G
|
False
|
|
sqc7742
|
|
I4122 |
98 |
tetragonal |
{4,4} |
16 |
(2,6) |
|
D
|
False
|
|
sqc2067
|
|
P4222 |
93 |
tetragonal |
{4,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{4.4.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.3:128:17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 72 49 36 37 54 55 65 44 45 70 71 52 53 81 60 61 86 87 104 68 69 89 76 77 94 95 112 84 85 120 92 93 128 113 100 101 118 119 121 108 109 126 127 116 117 124 125,2 8 6 7 10 16 14 15 18 24 22 23 26 32 30 31 34 40 38 39 42 48 46 47 50 56 54 55 58 64 62 63 66 72 70 71 74 80 78 79 82 88 86 87 90 96 94 95 98 104 102 103 106 112 110 111 114 120 118 119 122 128 126 127,73 3 5 14 15 80 57 11 13 64 89 19 21 30 31 96 81 27 29 88 105 35 37 62 63 112 97 43 45 78 79 104 121 51 53 86 87 128 59 61 113 67 69 94 95 120 75 77 83 85 91 93 99 101 110 111 107 109 115 117 126 127 123 125:4 8 4 8 4 4 4 8 4 8 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 54): 'tau2^-1', (0, 126): 't1^-1*tau3^-1*t2', (2, 53): 'tau2^-1', (2, 112): 't1', (0, 112): 't1*tau3*t2^-1', (0, 31): 't1', (2, 109): 'tau1', (0, 53): 'tau2^-1*t3^-1', (0, 62): 't3^-1*tau2^-1', (2, 45): 't2', (2, 71): 't1^-1', (0, 40): 't2*tau3^-1', (0, 45): 't2*tau3^-1', (2, 16): 't1^-1', (0, 104): 't3*tau2', (2, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 30): 't1', (0, 5): 't1', (2, 61): 't3^-1', (2, 23): 't1^-1', (0, 94): 'tau3^-1*t2', (0, 48): 'tau2^-1*t3^-1', (0, 125): 'tau2^-1*t3^-1', (2, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 93): 'tau3^-1', (0, 127): 't1^-1', (2, 46): 't2', (0, 30): 't1', (0, 0): 't1', (0, 118): 'tau2*t3', (2, 70): 'tau3', (2, 110): 'tau1', (2, 62): 't3^-1', (2, 29): 't1', (0, 117): 't1*tau3*t2^-1', }