U-tiling: UQC3663
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc803 |
*22222 |
(3,4,2) |
{3,6,4} |
{6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
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
|
|
sqc7732
|
|
I4122 |
98 |
tetragonal |
{3,6,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc14585
|
|
P4222 |
93 |
tetragonal |
{3,6,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {3,6,4} |
| 2D vertex symbol | {6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:128:33 3 5 7 80 41 11 13 15 64 49 19 21 23 96 65 27 29 31 88 35 37 39 112 43 45 47 104 51 53 55 128 97 59 61 63 67 69 71 120 105 75 77 79 113 83 85 87 121 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 19 76 6 8 10 27 60 14 16 18 92 22 24 26 84 30 32 34 51 108 38 40 42 67 100 46 48 50 124 54 56 58 83 62 64 66 116 70 72 74 91 78 80 82 86 88 90 94 96 98 115 102 104 106 123 110 112 114 118 120 122 126 128,73 4 5 14 15 24 57 12 13 32 89 20 21 30 31 81 28 29 105 36 37 62 63 56 97 44 45 78 79 72 121 52 53 86 87 60 61 88 113 68 69 94 95 76 77 96 84 85 92 93 100 101 110 111 120 108 109 128 116 117 126 127 124 125:6 5 6 5 5 5 5 5 5 6 5 6,3 6 4 3 3 3 3 6 4 3 6 4 3 3 6 4> {(2, 61): 't3^-1', (2, 62): 't3^-1', (1, 122): 't1^-1*tau3^-1*t2', (2, 53): 'tau2^-1', (2, 54): 'tau2^-1', (2, 55): 'tau2^-1*t3^-1', (2, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 45): 't2', (2, 46): 't2', (2, 47): 't2*tau3^-1', (1, 98): 't3^-1*tau2^-1', (1, 82): 'tau2*t3', (2, 29): 't1', (0, 24): 't1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 16): 't1^-1', (0, 23): 't1^-1', (1, 74): 't2^-1*tau3', (1, 67): 't1^-1', (2, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 120): 't1^-1', (2, 119): 't1*tau3*t2^-1', (2, 112): 't1', (0, 119): 't1', (2, 109): 'tau1', (2, 110): 'tau1', (2, 111): 't3*tau2', (1, 91): 't1', (2, 93): 'tau3^-1', (2, 94): 'tau3^-1', (1, 26): 't1'}