U-tiling: UQC3921
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1112 |
*22222 |
(3,5,2) |
{3,8,4} |
{6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
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
|
|
sqc8861
|
|
I4122 |
98 |
tetragonal |
{3,8,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2378
|
|
P4222 |
93 |
tetragonal |
{3,4,8} |
8 |
(3,5) |
Topological data
| Vertex degrees | {3,8,4} |
| 2D vertex symbol | {6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.1:144:19 3 5 42 8 27 28 12 14 51 17 36 21 23 60 26 30 32 78 35 55 39 41 44 63 73 48 50 53 81 57 59 62 91 66 68 114 71 99 75 77 80 100 84 86 123 89 108 93 95 132 98 102 104 141 107 127 111 113 116 135 136 120 122 125 144 129 131 134 138 140 143,2 7 40 6 9 11 16 49 15 18 20 25 58 24 27 29 34 76 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 112 69 72 74 79 78 81 83 88 121 87 90 92 97 130 96 99 101 106 139 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,37 4 5 87 25 26 18 46 13 14 69 34 35 55 22 23 105 36 73 31 32 96 40 41 123 61 62 72 49 50 114 79 80 90 58 59 141 99 109 67 68 97 98 76 77 132 108 118 85 86 106 107 127 94 95 136 103 104 112 113 133 134 126 121 122 142 143 130 131 144 139 140:6 3 6 3 3 3 6 6 6 3 6 3 3 3 6 6,3 8 4 3 8 3 3 8 4 8 4 3 3 3 3 4> {(2, 60): 'tau2^-1*t3^-1', (2, 61): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1', (0, 63): 't3^-1*tau2^-1', (2, 52): 't2*tau3^-1', (2, 53): 't2', (2, 51): 't2*tau3^-1', (2, 44): 't3', (0, 35): 't1', (0, 32): 't1', (1, 102): 't1', (0, 27): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (2, 26): 't1^-1', (2, 27): 't1', (2, 23): 't1^-1', (2, 142): 'tau2^-1*t3^-1', (2, 141): 'tau2^-1*t3^-1', (1, 75): 't1^-1', (2, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 143): 't1^-1*tau3^-1*t2', (0, 140): 't1^-1', (2, 132): 't1*tau3*t2^-1', (2, 133): 't1*tau3*t2^-1', (2, 135): 't1^-1', (0, 134): 'tau2*t3', (0, 135): 't1^-1*tau3^-1*t2', (2, 131): 't1', (2, 125): 'tau1', (0, 126): 'tau2*t3', (0, 107): 'tau3^-1*t2', (2, 107): 'tau3^-1', (0, 98): 'tau2*t3', (0, 99): 'tau3^-1*t2'}