U-tiling: UQC4255
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1090 |
*2244 |
(4,5,2) |
{4,4,8,4} |
{4.4.4.4}{4.5.5.4}{5.5.5.5.5.5.5... |
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
|
|
sqc7077
|
|
P42/mmc |
131 |
tetragonal |
{3,3,8,4} |
16 |
(4,5) |
|
G
|
False
|
|
sqc8513
|
|
I-42d |
122 |
tetragonal |
{4,4,8,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc2566
|
|
P-42m |
111 |
tetragonal |
{8,4,4,4} |
8 |
(4,5) |
Topological data
| Vertex degrees | {4,4,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<71.1:144:55 3 58 59 7 9 64 12 67 68 16 18 28 21 31 32 25 27 30 34 36 46 39 49 50 43 45 48 52 54 57 61 63 66 70 72 127 75 130 131 79 81 136 84 139 140 88 90 100 93 103 104 97 99 102 106 108 118 111 121 122 115 117 120 124 126 129 133 135 138 142 144,2 4 6 8 63 11 13 15 17 72 20 22 24 26 36 29 31 33 35 38 40 42 44 54 47 49 51 53 56 58 60 62 65 67 69 71 74 76 78 80 135 83 85 87 89 144 92 94 96 98 108 101 103 105 107 110 112 114 116 126 119 121 123 125 128 130 132 134 137 139 141 143,73 11 12 5 15 16 26 27 82 14 35 36 91 38 39 23 42 43 100 47 48 32 51 52 109 41 62 63 118 50 71 72 127 65 66 59 69 70 136 68 83 84 77 87 88 98 99 86 107 108 110 111 95 114 115 119 120 104 123 124 113 134 135 122 143 144 137 138 131 141 142 140:4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5,4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4> {(2, 61): 't3^-1', (2, 62): 't3^-1', (0, 63): 't3^-1*tau2^-1*t1', (2, 52): 't3*tau2*t3', (2, 53): 't3*tau2*t3', (2, 50): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t1^-1', (2, 46): 't3*tau2*t1^-1', (2, 47): 't3*tau2*t1^-1', (2, 34): 't1', (2, 35): 't1', (1, 89): 't1^-1*tau2*t3', (0, 138): 't3^-1*tau2^-1*t1', (0, 139): 't3^-1*tau2^-1*t1', (2, 142): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 143): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 12): 't1^-1*tau2*t3', (0, 13): 't1^-1*tau2*t3', (2, 133): 'tau1^-1', (2, 134): 'tau1^-1', (0, 135): 't3^-1*tau2^-1*t1', (1, 71): 't3^-1*tau2^-1*t1', (2, 122): 't3*tau2*t1^-1', (2, 123): 't3*tau2*t1^-1', (2, 118): 't3*tau2*t1^-1', (2, 119): 't3*tau2*t1^-1', (2, 106): 'tau3^-1', (2, 107): 'tau3^-1', (2, 97): 't2^-1', (2, 98): 't2^-1'}