U-tiling: UQC1167
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1038 |
*22222 |
(2,5,3) |
{10,4} |
{4.4.3.4.4.4.4.3.4.4}{4.4.3.3} |
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
|
True
|
|
sqc7701
|
|
P4/mmm |
123 |
tetragonal |
{8,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8751
|
|
I4122 |
98 |
tetragonal |
{10,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2617
|
|
P4222 |
93 |
tetragonal |
{10,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {10,4} |
| 2D vertex symbol | {4.4.3.4.4.4.4.3.4.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:144:37 83 84 6 7 89 18 46 65 66 15 16 71 55 101 102 24 25 107 36 73 92 93 33 34 98 119 120 42 43 125 72 110 111 51 52 116 90 137 138 60 61 143 99 109 69 70 128 129 78 79 134 108 118 87 88 127 96 97 136 105 106 114 115 126 123 124 132 133 144 141 142,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 68 44 45 47 49 86 53 54 56 58 95 62 63 65 67 71 72 74 76 104 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 122 116 117 119 121 125 126 128 130 140 134 135 137 139 143 144,19 3 5 7 26 27 28 12 14 16 35 36 21 23 25 30 32 34 55 39 41 43 62 63 73 48 50 52 80 81 57 59 61 91 66 68 70 98 99 75 77 79 100 84 86 88 107 108 93 95 97 102 104 106 127 111 113 115 134 135 136 120 122 124 143 144 129 131 133 138 140 142:4 4 3 4 4 4 4 3 4 4 4 3 4 3 4 3 4 3 3 3,10 4 4 10 4 10 4 4 4 10 4 4> {(1, 85): 't2^-1', (2, 27): 't1', (0, 134): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 53): 't2*tau3^-1', (1, 121): 'tau1', (2, 25): 't1^-1', (2, 142): 'tau2^-1*t3^-1', (0, 53): 't2', (0, 62): 'tau2^-1', (0, 107): 'tau3^-1', (0, 20): 't1^-1', (0, 127): 't1', (1, 40): 't3', (1, 130): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 63): 't3^-1*tau2^-1', (1, 103): 'tau3^-1', (2, 117): 't2^-1*tau3*t1', (0, 133): 't1', (2, 61): 'tau2^-1*t3^-1', (1, 22): 't1^-1', (0, 135): 't1^-1', (0, 125): 'tau1', (0, 19): 't1^-1', (2, 26): 't1^-1', (2, 143): 'tau2^-1*t3^-1', (2, 52): 't2*tau3^-1', (1, 58): 'tau2^-1', (2, 108): 't3^-1*tau2^-1', (2, 81): 't2^-1*tau3', (2, 134): 't1*tau3*t2^-1', (0, 35): 't1', (0, 44): 't3', (0, 25): 't1^-1', (2, 62): 'tau2^-1*t3^-1', (0, 27): 't1', (2, 115): 't2*tau3^-1*t1^-1', (0, 128): 't1', }