U-tiling: UQC4366
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1230 |
*22222 |
(4,4,2) |
{4,4,3,4} |
{7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4} |
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
|
|
sqc8793
|
|
I4122 |
98 |
tetragonal |
{4,4,3,4} |
20 |
(4,5) |
D
|
False
|
|
sqc2752
|
|
P4222 |
93 |
tetragonal |
{4,3,4,4} |
10 |
(4,4) |
Topological data
Vertex degrees | {4,4,3,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.7}{7.4.7.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.3:144:82 3 5 7 9 64 12 14 16 18 100 21 23 25 27 91 30 32 34 36 118 39 41 43 45 109 48 50 52 54 136 57 59 61 63 66 68 70 72 127 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 4 6 88 26 45 11 13 15 70 35 54 20 22 24 106 63 29 31 33 97 81 38 40 42 124 62 47 49 51 115 80 56 58 60 142 65 67 69 98 117 74 76 78 133 83 85 87 107 126 92 94 96 135 101 103 105 144 110 112 114 134 119 121 123 143 128 130 132 137 139 141,19 11 12 22 23 8 9 28 31 32 17 18 29 30 26 27 35 36 55 65 66 58 59 44 45 73 83 84 76 77 53 54 92 93 62 63 91 94 95 71 72 101 102 80 81 100 103 104 89 90 98 99 107 108 127 119 120 130 131 116 117 136 139 140 125 126 137 138 134 135 143 144:7 4 7 4 7 7 7 7 7 4 7 4,4 4 3 4 3 4 4 4 4 4 3 4 4 3 3 3 4 4 3 3> {(2, 56): 'tau2^-1', (1, 124): 't2^-1*tau3*t1', (1, 115): 't3^-1*tau2^-1', (2, 55): 'tau2^-1', (1, 105): 't1', (2, 45): 't2*tau3^-1', (2, 46): 't2', (2, 47): 't2', (2, 36): 't3*tau2', (2, 37): 't3', (2, 38): 't3', (2, 28): 't1', (1, 88): 't2^-1*tau3', (2, 30): 't1', (2, 31): 't1', (0, 18): 't1^-1', (1, 80): 't1^-1', (2, 18): 't1^-1', (2, 136): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 137): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 138): 't1^-1*tau3^-1*t2', (2, 135): 'tau2^-1*t3^-1', (2, 130): 'tau2*t3', (1, 70): 't3^-1*tau2^-1', (2, 126): 't1*tau3*t2^-1', (0, 126): 't1', (2, 121): 't2^-1*tau3*t1', (2, 29): 't1', (2, 118): 'tau1', (2, 110): 'tau1^-1', (2, 111): 't3^-1*tau2^-1', (2, 100): 'tau3^-1', (2, 101): 'tau3^-1', (2, 102): 'tau3^-1*t2', (2, 103): 'tau3^-1*t2', (2, 93): 'tau2*t3', (2, 94): 'tau2*t3', (1, 16): 't1^-1', (1, 143): 't1^-1', (1, 132): 't1'}