U-tiling: UQC3536
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc750 |
*22222 |
(3,5,2) |
{4,4,4} |
{4.4.4.4}{4.8.8.4}{8.8.8.8} |
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
|
|
sqc5709
|
|
P4/mmm |
123 |
tetragonal |
{3,3,4} |
16 |
(3,5) |
|
G
|
False
|
|
sqc7748
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1763
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.2:128:33 3 36 37 7 24 41 11 44 45 15 32 49 19 52 53 23 65 27 68 69 31 35 39 56 43 47 72 51 55 97 59 100 101 63 88 67 71 105 75 108 109 79 96 113 83 116 117 87 121 91 124 125 95 99 103 120 107 111 128 115 119 123 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,73 18 19 5 22 23 16 57 26 27 13 30 31 89 21 32 81 29 105 50 51 37 54 55 64 97 66 67 45 70 71 80 121 53 88 82 83 61 86 87 113 69 96 90 91 77 94 95 85 93 114 115 101 118 119 112 122 123 109 126 127 117 128 125:4 8 4 8 4 4 4 8 4 8 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 63): 't3^-1', (0, 63): 't3^-1*tau2^-1', (2, 125): 'tau2^-1*t3^-1', (2, 53): 'tau2^-1*t3^-1', (2, 54): 'tau2^-1*t3^-1', (2, 55): 'tau2^-1', (2, 49): 'tau2^-1*t3^-1', (2, 50): 'tau2^-1*t3^-1', (2, 45): 't2*tau3^-1', (2, 46): 't2*tau3^-1', (2, 47): 't2', (2, 41): 't2*tau3^-1', (2, 42): 't2*tau3^-1', (2, 121): 'tau2^-1*t3^-1', (0, 27): 't1', (0, 24): 't1', (2, 31): 't1', (0, 31): 't1', (0, 28): 't1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 't1^-1', (0, 103): 't3^-1*tau2^-1', (0, 123): 't1^-1', (0, 120): 't1^-1', (2, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 127): 't1^-1*tau3^-1*t2', (2, 122): 'tau2^-1*t3^-1', (2, 117): 't1*tau3*t2^-1', (2, 118): 't1*tau3*t2^-1', (2, 112): 't1', (2, 114): 't1*tau3*t2^-1', (2, 111): 'tau1', (0, 124): 't1^-1', (2, 126): 'tau2^-1*t3^-1', (2, 97): 't2*tau3^-1*t1^-1', (2, 95): 'tau3^-1', (0, 79): 't2^-1*tau3'}