U-tiling: UQC3995
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1123 |
*22222 |
(3,5,2) |
{4,8,3} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
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) |
|
G
|
False
|
|
sqc8559
|
|
I4122 |
98 |
tetragonal |
{4,8,3} |
16 |
(3,6) |
|
D
|
False
|
|
sqc14596
|
|
P4222 |
93 |
tetragonal |
{3,4,8} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,8,3} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<45.4:144:19 3 5 7 89 90 28 12 14 16 71 72 21 23 25 107 108 30 32 34 98 99 55 39 41 43 125 126 73 48 50 52 116 117 57 59 61 143 144 91 66 68 70 75 77 79 134 135 100 84 86 88 93 95 97 102 104 106 127 111 113 115 136 120 122 124 129 131 133 138 140 142,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 59 44 45 47 49 77 53 54 56 58 62 63 65 67 95 71 72 74 76 80 81 83 85 104 89 90 92 94 98 99 101 103 107 108 110 112 131 116 117 119 121 140 125 126 128 130 134 135 137 139 143 144,10 20 21 6 7 44 27 29 30 15 16 53 36 28 24 25 62 33 34 80 64 56 57 42 43 63 82 74 75 51 52 81 91 60 61 92 93 69 70 116 99 100 78 79 101 102 87 88 125 108 96 97 134 105 106 143 118 128 129 114 115 135 137 138 123 124 144 136 132 133 141 142:5 4 5 4 4 4 5 4 5 4 4 5 4 5 5 5,4 8 3 8 3 4 3 4 3 8 3 8 3 4 3 3> {(1, 121): 't3*tau2', (2, 62): 'tau2^-1*t3^-1', (2, 63): 't3^-1', (2, 53): 't2*tau3^-1', (2, 54): 'tau2^-1', (0, 54): 'tau2^-1*t3^-1', (2, 45): 't2', (0, 45): 't2*tau3^-1', (2, 34): 't1', (0, 26): 't1^-1', (2, 29): 't1', (0, 25): 't1^-1', (2, 26): 't1^-1', (2, 27): 't1', (0, 18): 't1^-1', (2, 136): 't1^-1*tau3^-1*t2', (2, 10): 't1^-1', (1, 112): 't2*tau3^-1*t1^-1', (2, 134): 't1*tau3*t2^-1', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 128): 'tau2*t3', (0, 135): 'tau2^-1*t3^-1', (0, 133): 't1', (2, 125): 't3*tau2', (1, 58): 'tau2^-1*t3^-1', (0, 126): 't1*tau3*t2^-1', (1, 49): 't2*tau3^-1', (2, 117): 'tau1', (2, 119): 't2^-1*tau3*t1', (2, 109): 't3^-1*tau2^-1', (2, 106): 't1', (2, 100): 'tau3^-1*t2', (2, 101): 'tau3^-1*t2', (2, 99): 'tau3^-1', (2, 92): 'tau2*t3', (2, 91): 'tau2*t3', (0, 134): 't1', (1, 22): 't1^-1'}