:name pentagonal gyrobicupola (J31) :number 75 :symbol @gQ sub 5 @ :sfaces 22 10{3} 10{4} 2{5} :svertices 20 10(@3@.@4@.@3@.@4@) 10(@3@.@4@.@5@.@4@) :net 22 5 5 12 13 8 6 7 4 13 12 18 19 3 13 19 16 4 8 13 15 11 3 8 11 5 4 6 8 4 2 3 6 2 0 4 7 6 1 3 3 7 3 9 4 12 7 10 14 3 12 14 17 5 25 24 26 31 30 4 24 25 21 19 3 24 19 18 4 26 24 20 23 3 26 23 28 4 31 26 29 34 3 31 34 36 4 30 31 37 35 3 30 35 33 4 25 30 32 27 3 25 27 22 :solid 22 5 5 45 42 46 52 51 4 42 45 40 38 3 42 38 39 4 46 42 39 41 3 46 41 48 4 52 46 48 55 3 52 55 57 4 51 52 57 56 3 51 56 54 4 45 51 54 47 3 45 47 40 5 44 43 49 53 50 4 43 44 39 38 3 43 38 40 4 49 43 40 47 3 49 47 54 4 53 49 54 56 3 53 56 57 4 50 53 57 55 3 50 55 48 4 44 50 48 41 3 44 41 39 :hinges 21 0 0 1 0 2.588018294692748 1 3 2 0 2.7767288254763101 0 1 3 0 2.588018294692748 3 3 4 0 2.7767288254763101 0 2 5 0 2.588018294692748 5 3 6 0 2.7767288254763101 0 3 7 0 2.588018294692748 7 3 8 0 2.7767288254763101 0 4 9 0 2.588018294692748 9 3 10 0 2.7767288254763101 11 0 12 0 2.588018294692748 12 3 13 0 2.7767288254763101 11 1 14 0 2.588018294692748 14 3 15 0 2.7767288254763101 11 2 16 0 2.588018294692748 16 3 17 0 2.7767288254763101 11 3 18 0 2.588018294692748 18 3 19 0 2.7767288254763101 11 4 20 0 2.588018294692748 20 3 21 0 2.7767288254763101 1 2 13 1 1.2059324986814134 :dih 3 20 3 4 2.7767288254763101 10 3 4 1.2059324986814134 10 4 5 2.588018294692748 :vertices 58 38 -2.95238722623023[(-5/8+(-1/8)*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/8+(-1/8)*sqrt(3))*sqrt(10-2*sqrt(5))] -.4067366430758[((-1/8)*sqrt(3)+(-1/8)*sqrt(15))+1/8*sqrt(10-2*sqrt(5))] 0[0] -2.84785876296257[(-3/4+(-1/4)*sqrt(5))-1/8*sqrt(10+2*sqrt(5))+(-5/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -.587785252292473[-1/4*sqrt(10-2*sqrt(5))] 0[0] -2.84785876296257[(-3/4+(-1/4)*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] .587785252292473[1/4*sqrt(10-2*sqrt(5))] 0[0] -2.2600735106701[(-3/4+(-1/4)*sqrt(5))-1/8*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.39680224666742[(-1/4+(-1/4)*sqrt(5))-1/4*sqrt(10-2*sqrt(5))] 0[0] -2.2600735106701[(-3/4+(-1/4)*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 1.39680224666742[(1/4+(1/4)*sqrt(5))+1/4*sqrt(10-2*sqrt(5))] 0[0] -2.12018712265401[(-5/8+(1/8)*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.55216181985234[(1/4+(-1/8)*sqrt(3)+(1/4)*sqrt(5)+(1/8)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -2.03884176858763[-1/2+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0] 0[0] -1.45105651629515[-1/2+(-1/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 0[0] -1.45105651629515[-1/2+(-3/16+(-1/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] .80901699437494701[(1/4+(1/4)*sqrt(5))] 0[0] 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.478147600733806[(-5/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.707911690817759[(-1/2+(-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .5[1/2] -.5[-1/2] 0[0] .5[1/2] .5[1/2] 0[0] .62288057830704401[(1/2+(5/8)*sqrt(3)+(-1/8)*sqrt(15))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/16+(-1/8)*sqrt(3)+(-1/16)*sqrt(5)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.669130606358858[(-1/8+(1/8)*sqrt(5))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(-1/16)*sqrt(3)+(1/16)*sqrt(5)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 1[1] 1.36602540378444[(1/2+(1/2)*sqrt(3))] 0[0] 1.12288057830704[(1+(5/8)*sqrt(3)+(-1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.5351560101433[(1/8+(1/2)*sqrt(3)+(-1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 1.2920111846659[(5/8+(5/8)*sqrt(3)+(-1/8)*sqrt(5)+(-1/8)*sqrt(15))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(3)+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.41227543183625[(-1/8+(1/8)*sqrt(3)+(1/8)*sqrt(5)+(-1/8)*sqrt(15))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 1.36602540378444[(1/2+(1/2)*sqrt(3))] 0[0] 0[0] 1.86602540378444[(1+(1/2)*sqrt(3))] .866025403784439[(1/2)*sqrt(3)] 0[0] 2.0351560101433[(5/8+(1/2)*sqrt(3)+(-1/8)*sqrt(5))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10-2*sqrt(5))] -.74314482547739401[((1/8)*sqrt(3)+(-1/8)*sqrt(15))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+1/16*sqrt(10-2*sqrt(5))] 0[0] 2.0739370946022[(1+(5/8)*sqrt(3)+(-1/8)*sqrt(15))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 1.84417300451824[(-1/8+(1/2)*sqrt(3)+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 2.24306770096106[(5/8+(5/8)*sqrt(3)+(-1/8)*sqrt(5)+(-1/8)*sqrt(15))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(3)+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] -1.7212924262112[(1/8+(1/8)*sqrt(3)+(-1/8)*sqrt(5)+(-1/8)*sqrt(15))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 2.4418926532191[(5/8+(5/8)*sqrt(3)+(-1/8)*sqrt(5)+(1/8)*sqrt(15))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/8+(-1/16)*sqrt(3))*sqrt(10-2*sqrt(5))] -1.65669028312[(-1/8+(1/8)*sqrt(3)+(-1/8)*sqrt(5)+(-1/8)*sqrt(15))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/8)*sqrt(3))*sqrt(10-2*sqrt(5))] 0[0] 2.84417300451824[(7/8+(1/2)*sqrt(3)+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] .65811371296667901[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.9487014677859[(3/4+(1/2)*sqrt(3))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(1/16)*sqrt(3)*sqrt(10-2*sqrt(5))] -.336408182401594[(1/4)*sqrt(3)+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))-1/16*sqrt(10-2*sqrt(5))] 0[0] 3.052084695336[(7/8+(5/8)*sqrt(3)+(1/8)*sqrt(5)+(-1/8)*sqrt(15))+(1/16+(1/16)*sqrt(3)+(1/16)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.63626131370048[(-1/8+(3/8)*sqrt(3)+(1/8)*sqrt(5)+(1/8)*sqrt(15))+(-1/16+(1/16)*sqrt(3)+(-1/16)*sqrt(5)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 0[0] 3.25090964759404[(7/8+(5/8)*sqrt(3)+(1/8)*sqrt(5)+(1/8)*sqrt(15))+(1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+(-1/8+(1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.57165917060928[(1/8+(3/8)*sqrt(3)+(1/8)*sqrt(5)+(1/8)*sqrt(15))-1/16*sqrt(10+2*sqrt(5))+(-1/32+(1/8)*sqrt(3)+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.3554381108617[(3/4+(5/8)*sqrt(3)+(1/8)*sqrt(15))+((3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+(-1/8+(1/16)*sqrt(3))*sqrt(10-2*sqrt(5))] -1.2499536400442[(-1/8+(1/4)*sqrt(3)+(-1/8)*sqrt(5))+(-3/32+(-1/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/8)*sqrt(3))*sqrt(10-2*sqrt(5))] 0[0] 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3.672461050811839 1.5914695320763125 -5.4798121144358665 :EOF