U-tiling: UQC3880
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1105 |
*22222 |
(3,5,2) |
{4,3,4} |
{3.12.12.3}{3.12.12}{12.12.12.12} |
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
|
|
sqc8307
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3} |
20 |
(3,5) |
|
G
|
False
|
|
sqc8826
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2515
|
|
P4222 |
93 |
tetragonal |
{3,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {3.12.12.3}{3.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.4:144:19 3 5 24 8 45 28 12 14 33 17 54 21 23 26 63 30 32 35 81 55 39 41 60 44 73 48 50 78 53 57 59 62 91 66 68 96 71 117 75 77 80 100 84 86 105 89 126 93 95 98 135 102 104 107 144 127 111 113 132 116 136 120 122 141 125 129 131 134 138 140 143,2 21 6 7 9 11 30 15 16 18 20 24 25 27 29 33 34 36 38 57 42 43 45 47 75 51 52 54 56 60 61 63 65 93 69 70 72 74 78 79 81 83 102 87 88 90 92 96 97 99 101 105 106 108 110 129 114 115 117 119 138 123 124 126 128 132 133 135 137 141 142 144,10 4 5 15 25 26 90 13 14 34 35 72 28 22 23 33 108 31 32 99 64 40 41 69 61 62 126 82 49 50 87 79 80 117 91 58 59 96 144 67 68 97 98 100 76 77 105 135 85 86 106 107 94 95 103 104 118 112 113 123 133 134 121 122 142 143 136 130 131 141 139 140:3 12 3 12 3 3 3 12 3 12 3 3,4 3 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 3 4> {(2, 60): 'tau2^-1*t3^-1', (2, 61): 'tau2^-1*t3^-1', (2, 63): 't3^-1', (2, 59): 'tau2^-1', (2, 52): 't2*tau3^-1', (2, 54): 'tau2^-1', (1, 110): 't2*tau3^-1*t1^-1', (0, 54): 'tau2^-1*t3^-1', (1, 119): 't3*tau2', (2, 51): 't2*tau3^-1', (2, 45): 't2', (2, 41): 't3', (0, 45): 't2*tau3^-1', (0, 35): 't1', (0, 32): 't1', (2, 32): 't1', (2, 24): 't1^-1', (2, 25): 't1^-1', (2, 26): 't1^-1', (2, 27): 't1', (0, 18): 't1^-1', (2, 140): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 141): 'tau2^-1*t3^-1', (2, 142): 'tau2^-1*t3^-1', (1, 74): 'tau3*t2^-1', (2, 132): 't1*tau3*t2^-1', (2, 133): 't1*tau3*t2^-1', (2, 135): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 122): 't2^-1*tau3*t1', (1, 56): 'tau2^-1*t3^-1', (2, 122): 'tau1', (2, 117): 'tau1', (0, 113): 't3^-1*tau2^-1', (0, 117): 't3*tau2', (0, 107): 't1', (0, 104): 'tau3^-1*t2', (2, 104): 'tau3^-1', (2, 50): 't2', (0, 108): 't2*tau3^-1*t1^-1', (2, 99): 'tau3^-1', (0, 95): 'tau2*t3', (2, 80): 't1^-1', (1, 20): 't1^-1'}