:name pentagonal rotunda (J6) :number 50 :symbol @R sub 5 @ :sfaces 17 10{3} 6{5} 1{10} :svertices 20 10(@3@.@5@.@10@) 10(@3@.@5@.@3@.@5@) :net 17 10 10 3 7 14 20 27 31 28 21 15 8 5 17 25 24 16 12 5 17 11 15 21 23 3 17 23 25 3 23 21 30 5 25 26 35 36 32 3 25 32 24 3 32 36 37 5 24 33 34 29 22 3 24 22 16 3 22 29 19 5 16 18 13 6 9 3 16 9 12 3 9 6 1 5 12 5 0 2 10 3 12 10 17 3 10 2 4 :solid 17 10 10 40 38 41 46 52 56 57 55 51 45 5 49 50 47 42 44 5 49 48 51 55 54 3 49 54 50 3 54 55 57 5 50 54 57 56 53 3 50 53 47 3 53 56 52 5 47 53 52 46 43 3 47 43 42 3 43 46 41 5 42 43 41 38 39 3 42 39 44 3 39 38 40 5 44 39 40 45 48 3 44 48 49 3 48 45 51 :hinges 16 1 0 3 2 2.489234513805425 2 4 3 0 2.489234513805425 2 3 4 0 2.489234513805425 1 1 6 2 2.489234513805425 5 4 6 0 2.489234513805425 5 3 7 0 2.489234513805425 1 2 9 2 2.489234513805425 8 4 9 0 2.489234513805425 8 3 10 0 2.489234513805425 1 3 12 2 2.489234513805425 11 4 12 0 2.489234513805425 11 3 13 0 2.489234513805425 1 4 15 2 2.489234513805425 14 4 15 0 2.489234513805425 14 3 16 0 2.489234513805425 0 7 2 2 1.1071487177940905 :dih 3 25 3 5 2.489234513805425 5 3 10 1.3820857960113346 5 5 10 1.1071487177940905 :vertices 58 38 -2.28716459510875[(-5/8+(-3/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 3.82082836265265[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(5/16+(3/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -2.14727820709266[-1/2+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-5/32)*sqrt(3)+(-3/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.89476545725485[(1/2)*sqrt(3)+(11/32+(7/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(5/32+(3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.97814760073381[(-7/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 2.86977184635749[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.61803398874989[(-1/2+(-1/2)*sqrt(5))] 0[0] 0[0] -1.47814760073381[(-3/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 2.00374644257306[((-5/8)*sqrt(3)+(1/8)*sqrt(15))+(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.47814760073381[(-3/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.4086136149451201[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(5/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.47814760073381[(-3/8+(-1/8)*sqrt(5))+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 5.63791028273224[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(11/32+(7/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(7/32+(5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.30901699437495[(-3/4+(-1/4)*sqrt(5))] -.951056516295154[-1/4*sqrt(10+2*sqrt(5))] 0[0] -1.30901699437495[(-3/4+(-1/4)*sqrt(5))] .951056516295154[1/4*sqrt(10+2*sqrt(5))] 0[0] -1.16913060635886[(-5/8+(1/8)*sqrt(5))+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.68685376643709[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(11/32+(7/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -.978147600733806[(1/8+(-1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 2.86977184635749[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 2.48989828488278[(3/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.669130606358858[(-1/8+(1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 3.82082836265265[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(7/16+(3/16)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0] -.669130606358858[(-1/8+(1/8)*sqrt(5))+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 6.22569553502471[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(13/32+(9/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(9/32+(3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -.5[-1/2] -1.53884176858763[(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.5[-1/2] 1.53884176858763[(1/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.169130606358858[(3/8+(1/8)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-1/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.68685376643709[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0] 3.07768353717525[(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .139886388016089[(1/8+(3/8)*sqrt(5))+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10+2*sqrt(5))+((-3/32)*sqrt(3)+(-1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 5.63791028273224[((3/8)*sqrt(3)+(1/8)*sqrt(15))+(11/32+(7/32)*sqrt(5))*sqrt(10+2*sqrt(5))+(7/32+(5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .395471536732347[(5/8+(1/8)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((-3/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 6.42452048728275[((3/8)*sqrt(3)+(3/8)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(7/32+(3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .5[1/2] -1.53884176858763[(-1/8+(-1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .5[1/2] 1.53884176858763[(1/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .5[1/2+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 5.42999859191448[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/32+(3/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .80901699437494701[(1/4+(1/4)*sqrt(5))] 2.48989828488278[(3/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .80901699437494701[(1/4+(1/4)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.47894207561933[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(3/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .913545457642601[(1/8+(1/8)*sqrt(5))+(1/8)*sqrt(3)*sqrt(10-2*sqrt(5))] 3.48442018025105[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(1/4+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0] 1.22256245201755[(-1/8+(3/8)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((5/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 2.5333636639559[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(-9/32+(-5/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1.30901699437495[(3/4+(1/4)*sqrt(5))] -.951056516295154[-1/4*sqrt(10+2*sqrt(5))] 0[0] 1.30901699437495[(3/4+(1/4)*sqrt(5))] .951056516295154[1/4*sqrt(10+2*sqrt(5))] 0[0] 1.30901699437495[(3/4+(1/4)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 6.01778384420695[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(3/8+(5/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(5/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1.47814760073381[(3/8+(1/8)*sqrt(5))+((1/16)*sqrt(3)+(1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.74675345940539[((1/8)*sqrt(3)+(-1/8)*sqrt(15))+(3/8+(1/8)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1.61803398874989[(1/2+(1/2)*sqrt(5))] 0[0] 0[0] 1.72256245201755[(3/8+(3/8)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((5/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.07220543254353[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1.80901699437495[(5/4+(1/4)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 4.47894207561933[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(5/16+(1/4)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/32+(-1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.11803398874989[(1+(1/2)*sqrt(5))+(-1/16)*sqrt(3)*sqrt(10+2*sqrt(5))+((1/32)*sqrt(3)+(1/32)*sqrt(15))*sqrt(10-2*sqrt(5))] 5.42999859191448[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(3/8+(5/16)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/32+(1/32)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 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