:name gyroelongated square bicupola (J45) :number 89 :symbol @Q sub 4 @ :sfaces 34 24{3} 10{4} :svertices 24 8(@3@.@4 sup 3@) 16(@3 sup 4@.@4@) :net 34 4 4 17 25 26 18 4 25 17 16 24 3 25 24 33 4 26 25 36 37 3 26 37 32 4 18 26 27 19 3 18 19 9 4 17 18 8 7 3 17 7 13 4 30 22 21 29 4 22 30 31 23 3 22 23 14 4 21 22 11 10 3 21 10 15 4 29 21 20 28 3 29 28 38 4 30 29 39 40 3 30 40 34 3 0 1 2 3 2 1 3 3 2 3 4 3 4 3 5 3 4 5 6 3 6 5 12 3 6 12 16 3 16 12 23 3 16 23 24 3 24 23 31 3 24 31 35 3 35 31 41 3 35 41 42 3 42 41 43 3 42 43 44 3 44 43 45 :solid 34 4 4 51 59 55 48 4 59 51 54 62 3 59 62 66 4 55 59 66 64 3 55 64 58 4 48 55 58 50 3 48 50 46 4 51 48 46 47 3 51 47 54 4 67 60 56 63 4 60 67 68 61 3 60 61 53 4 56 60 53 49 3 56 49 52 4 63 56 52 57 3 63 57 65 4 67 63 65 69 3 67 69 68 3 58 57 50 3 50 57 52 3 50 52 46 3 46 52 49 3 46 49 47 3 47 49 53 3 47 53 54 3 54 53 61 3 54 61 62 3 62 61 68 3 62 68 66 3 66 68 69 3 66 69 64 3 64 69 65 3 64 65 58 3 58 65 57 :hinges 33 0 0 1 0 2.3561944901923449 1 3 2 0 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2.4712905456469785 8 4 4 2.3561944901923449 :vertices 70 46 -.5[-1/2] .288675134594813[(1/6)*sqrt(3)] 0[0] 0[0] -.577350269189626[(-1/3)*sqrt(3)] 0[0] .5[1/2] .288675134594813[(1/6)*sqrt(3)] 0[0] 1[1] -.577350269189626[(-1/3)*sqrt(3)] 0[0] 1.5[3/2] .288675134594813[(1/6)*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] 2.63397459621556[(7/2+(-1/2)*sqrt(3))] 2.78867513459481[(5/2+(1/6)*sqrt(3))] 0[0] 3[3] -2.57735026918963[(-2+(-1/3)*sqrt(3))] 0[0] 3[3] -1.57735026918963[(-1+(-1/3)*sqrt(3))] 0[0] 3[3] -.577350269189626[(-1/3)*sqrt(3)] 0[0] 3[3] .422649730810374[(1+(-1/3)*sqrt(3))] 0[0] 3.13397459621556[(4+(-1/2)*sqrt(3))] -1.07735026918963[(-1/2+(-1/3)*sqrt(3))] 0[0] 3.5[7/2] -3.44337567297406[(-2+(-5/6)*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] 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