U-tiling: UQC4020
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1127 |
*22222 |
(3,5,2) |
{4,4,3} |
{5.5.5.5}{5.8.8.5}{5.8.8} |
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
|
|
sqc8368
|
|
P4/mmm |
123 |
tetragonal |
{3,4,3} |
20 |
(3,5) |
|
G
|
False
|
|
sqc8788
|
|
I4122 |
98 |
tetragonal |
{4,4,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc2494
|
|
P4222 |
93 |
tetragonal |
{4,4,3} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,4,3} |
| 2D vertex symbol | {5.5.5.5}{5.8.8.5}{5.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:144:19 3 5 7 26 18 28 12 14 16 35 21 23 25 36 30 32 34 55 39 41 43 62 72 73 48 50 52 80 90 57 59 61 99 91 66 68 70 98 75 77 79 108 100 84 86 88 107 93 95 97 102 104 106 127 111 113 115 134 126 136 120 122 124 143 129 131 133 144 138 140 142,2 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 99 101 103 107 108 110 112 131 116 117 119 121 140 125 126 128 130 134 135 137 139 143 144,37 83 84 6 7 89 27 46 65 66 15 16 71 36 55 101 102 24 25 107 73 92 93 33 34 98 119 120 42 43 125 63 110 111 51 52 116 81 137 138 60 61 143 109 69 70 99 128 129 78 79 134 118 87 88 108 127 96 97 136 105 106 114 115 135 123 124 144 132 133 141 142:5 8 5 5 8 5 8 5 5 5 8 5,4 4 3 4 4 3 4 4 4 4 4 3 4 3 4 3 4 3 3 3> {(1, 121): 't2^-1*tau3*t1', (0, 62): 'tau2^-1', (0, 63): 't3^-1*tau2^-1', (0, 61): 'tau2^-1*t3^-1', (1, 112): 't3^-1*tau2^-1', (0, 52): 't2*tau3^-1', (0, 53): 't2', (0, 44): 't3', (0, 35): 't1', (1, 103): 'tau3^-1*t2', (2, 35): 't1', (0, 27): 't1', (0, 25): 't1^-1', (2, 25): 't1^-1', (2, 27): 't1', (2, 20): 't1^-1', (2, 19): 't1^-1', (0, 142): 'tau2^-1*t3^-1', (0, 143): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 133): 't1', (1, 67): 't3^-1*tau2^-1', (2, 135): 't1^-1', (2, 128): 't1', (0, 133): 't1*tau3*t2^-1', (2, 125): 't2^-1*tau3*t1', (2, 127): 't1', (0, 125): 'tau1', (2, 116): 't3^-1*tau2^-1', (0, 117): 't2^-1*tau3*t1', (0, 107): 'tau3^-1', (0, 108): 't3^-1*tau2^-1', (2, 107): 'tau3^-1*t2', (0, 81): 't2^-1*tau3', (1, 13): 't1^-1', (2, 71): 't3^-1*tau2^-1'}