:name
gyroelongated square cupola (J23)
:number
67
:symbol
	@Q sub 4 @
:sfaces
26 20{3} 5{4} 1{8}
:svertices
20 4(@3@.@4 sup 3@) 8(@3 sup 3@.@8@) 8(@3 sup 4@.@4@)
:net
18 8
8 16 9 3 2 8 15 21 22
3 0 1 4
3 4 1 9
3 4 9 11
3 11 9 16
3 11 16 17
3 17 16 23
3 17 23 26
3 26 23 29
4 12 18 19 13
4 18 12 11 17
3 18 17 25
4 19 18 27 28
3 19 28 24
4 13 19 20 14
3 13 14 7
4 12 13 6 5
3 12 5 10
:solid
18 8
8 40 34 30 33 39 45 49 46
3 31 30 32
3 32 30 34
3 32 34 38
3 38 34 40
3 38 40 44
3 44 40 46
3 44 46 48
3 48 46 49
4 37 43 42 36
4 43 37 38 44
3 43 44 48
4 42 43 48 47
3 42 47 41
4 36 42 41 35
3 36 35 31
4 37 36 31 32
3 37 32 38
:hinges
17
1 1 2 0 2.6871505056370706
2 2 3 0 2.6871505056370706
3 1 4 0 2.6871505056370706
4 2 5 0 2.6871505056370706
5 1 6 0 2.6871505056370706
6 2 7 0 2.6871505056370706
7 1 8 0 2.6871505056370706
9 0 10 0 2.3561944901923449
10 3 11 0 2.5261129449194059
9 1 12 0 2.3561944901923449
12 3 13 0 2.5261129449194059
9 2 14 0 2.3561944901923449
14 3 15 0 2.5261129449194059
9 3 16 0 2.3561944901923449
16 3 17 0 2.5261129449194059
0 0 4 1 1.6858923822495303
10 2 5 2 2.4712905456469785
:dih
6
-16 3 3 2.6871505056370706
4 3 3 2.64120675704302
8 3 4 2.5261129449194059
4 3 4 2.4712905456469785
4 4 4 2.3561944901923449
8 3 8 1.6858923822495303
:vertices
50 30
-.5[-1/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
0[0] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
.292893218813453[(1+(-1/2)*sqrt(2))] -2.28445705037617[(-1+(-1/2)*sqrt(2)+(-1/3)*sqrt(3))] 0[0]
.292893218813453[(1+(-1/2)*sqrt(2))] -1.28445705037617[((-1/2)*sqrt(2)+(-1/3)*sqrt(3))] 0[0]
.5[1/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
.5[1/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
.5[1/2] 2.28867513459481[(2+(1/6)*sqrt(3))] 0[0]
.633974596215561[(3/2+(-1/2)*sqrt(3))] 2.78867513459481[(5/2+(1/6)*sqrt(3))] 0[0]
1[1] -2.99156383156272[(-1-sqrt(2)+(-1/3)*sqrt(3))] 0[0]
1[1] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
1[1] .422649730810374[(1+(-1/3)*sqrt(3))] 0[0]
1.5[3/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
1.5[3/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
1.5[3/2] 2.28867513459481[(2+(1/6)*sqrt(3))] 0[0]
1.5[3/2] 3.28867513459481[(3+(1/6)*sqrt(3))] 0[0]
2[2] -2.99156383156272[(-1-sqrt(2)+(-1/3)*sqrt(3))] 0[0]
2[2] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
2.5[5/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
2.5[5/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
2.5[5/2] 2.28867513459481[(2+(1/6)*sqrt(3))] 0[0]
2.5[5/2] 3.28867513459481[(3+(1/6)*sqrt(3))] 0[0]
2.70710678118655[(2+(1/2)*sqrt(2))] -2.28445705037617[(-1+(-1/2)*sqrt(2)+(-1/3)*sqrt(3))] 0[0]
2.70710678118655[(2+(1/2)*sqrt(2))] -1.28445705037617[((-1/2)*sqrt(2)+(-1/3)*sqrt(3))] 0[0]
3[3] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
3[3] 3.15470053837925[(2+(2/3)*sqrt(3))] 0[0]
3.36602540378444[(5/2+(1/2)*sqrt(3))] .78867513459481301[(1/2+(1/6)*sqrt(3))] 0[0]
3.5[7/2] .288675134594813[(1/6)*sqrt(3)] 0[0]
3.5[7/2] 1.28867513459481[(1+(1/6)*sqrt(3))] 0[0]
3.5[7/2] 2.28867513459481[(2+(1/6)*sqrt(3))] 0[0]
4[4] -.577350269189626[(-1/3)*sqrt(3)] 0[0]
1.1029573249388725 4.1517394083316214 -4.167007669840171
1.1933283862172968 3.9164568692847792 -3.1992911834129319
1.2152907179779467 3.1965814513011447 -3.8930469319055275
1.4652569512785737 4.8234621853314104 -3.5208439973749041
1.5058380488783486 3.4933058560652374 -4.8027374705636177
1.8847331368014221 4.4377633016846435 -2.6990921486195527
1.9018411954767243 3.4380829546175994 -2.6804771542258722
1.9238035272373742 2.7182075366339648 -3.3742329027184687
1.9377548959993201 2.6998303043695525 -4.3739666856046742
2.3805067204303612 5.1149880944530486 -3.242760368985161
2.4378970590319484 3.2338629735284122 -5.0556315042861936
2.8844894439273288 4.4551265105532309 -2.685459638221419
2.9015975026026313 3.4554461634861862 -2.6668446438277387
2.9235598343632813 2.7355707455025516 -3.3606003923203353
2.9375112031252275 2.7171935132381393 -4.3603341752065407
3.3125657305839608 4.8555452119162236 -3.4956544027077368
3.3531468281837358 3.5253888826500484 -4.7775478758964528
3.6069536219487029 3.9583753636216381 -3.1663793919205668
3.628915953709353 3.2384999456380039 -3.8601351404131612
3.7154464545234378 4.1971116596498379 -4.1313842034311851
:EOF
