:name triaugmented dodecahedron (J61) :number 105 :symbol @Y sub 5 @ :sfaces 24 15{3} 9{5} :svertices 23 5(@5 sup 3@) 15(@3 sup 2@.@5 sup 2@) 3(@3 sup 5@) :net 24 5 5 11 15 14 9 7 5 12 8 9 14 16 5 5 10 11 7 3 5 17 19 15 11 13 5 22 18 14 15 20 5 20 24 30 28 22 5 43 42 37 36 39 5 40 34 33 37 41 5 33 28 30 36 37 3 32 36 30 3 32 30 26 3 32 38 36 3 32 35 38 3 35 32 29 3 4 7 9 3 4 9 6 3 4 2 7 3 4 0 2 3 0 4 1 3 27 28 33 3 27 33 31 3 27 23 28 3 27 21 23 3 21 27 25 :solid 24 5 5 64 61 62 65 66 5 53 59 65 62 56 5 55 58 64 66 60 5 52 54 61 64 58 5 51 56 62 61 54 5 54 52 45 44 51 5 60 57 49 47 55 5 59 53 46 49 57 5 46 44 45 47 49 3 50 47 45 3 50 45 52 3 50 55 47 3 50 58 55 3 58 50 52 3 63 66 65 3 63 65 59 3 63 60 66 3 63 57 60 3 57 63 59 3 48 44 46 3 48 46 53 3 48 51 44 3 48 56 51 3 56 48 53 :hinges 23 0 0 3 2 2.0344439357957027 0 1 4 2 2.0344439357957027 0 2 1 2 2.0344439357957027 0 4 2 2 2.0344439357957027 4 4 5 4 2.0344439357957027 8 1 5 2 2.0344439357957027 8 3 6 2 2.0344439357957027 8 4 7 2 2.0344439357957027 8 2 9 1 2.6868020755800709 9 2 10 0 2.4118649973628269 9 0 11 2 2.4118649973628269 11 0 12 2 2.4118649973628269 12 0 13 0 2.4118649973628269 0 3 14 1 2.6868020755800709 14 2 15 0 2.4118649973628269 14 0 16 2 2.4118649973628269 16 0 17 2 2.4118649973628269 17 0 18 0 2.4118649973628269 8 0 19 1 2.6868020755800709 19 2 20 0 2.4118649973628269 19 0 21 2 2.4118649973628269 21 0 22 2 2.4118649973628269 22 0 23 0 2.4118649973628269 :dih 3 15 3 3 2.4118649973628269 15 3 5 2.6868020755800709 15 5 5 2.0344439357957027 :vertices 67 44 -2.45629520146761[(-1/4+(-1/4)*sqrt(5))+((-1/8)*sqrt(3)+(-1/8)*sqrt(15))*sqrt(10-2*sqrt(5))] .272367578600068[((-1/4)*sqrt(3)+(1/4)*sqrt(15))+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -2.14727820709266[-1/2+((-1/8)*sqrt(3)+(-1/8)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.22342409489522[((-1/4)*sqrt(3)+(1/4)*sqrt(15))+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/8+(1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.78716459510875[(-1/8+(-3/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] -.47077724687732601[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/8+(1/40)*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))] -.85065080835204001[(-1/16+(-13/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(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))] .480279269417828[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -1.30901699437495[(-3/4+(-1/4)*sqrt(5))] -1.80170732464719[(-3/16+(-13/80)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0] -1.16913060635886[(-5/8+(1/8)*sqrt(5))+((-1/16)*sqrt(3)+(-1/16)*sqrt(15))*sqrt(10-2*sqrt(5))] 1.43133578571298[((-1/8)*sqrt(3)+(1/8)*sqrt(15))+(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(3/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] -.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.80901699437494701[(-1/4+(-1/4)*sqrt(5))] 1.63924747653074[(3/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.5[-1/2] .688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] -.309016994374947[(1/4+(-1/4)*sqrt(5))] -1.80170732464719[(-1/16+(-13/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 0[0] -.85065080835204001[(-1/10)*sqrt(5)*sqrt(10+2*sqrt(5))] 0[0] 0[0] 2.22703272882321[(1/4+(3/20)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .309016994374947[(-1/4+(1/4)*sqrt(5))] -1.80170732464719[(-3/16+(-3/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] .5[1/2] .688190960235587[(1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .80901699437494701[(1/4+(1/4)*sqrt(5))] -.262865556059567[(-1/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] .80901699437494701[(1/4+(1/4)*sqrt(5))] 1.63924747653074[(3/8+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))] 0[0] 1.30901699437495[(3/4+(1/4)*sqrt(5))] -1.80170732464719[(-5/16+(-3/80)*sqrt(5))*sqrt(10+2*sqrt(5))-1/8*sqrt(10-2*sqrt(5))] 0[0] 1.30901699437495[(3/4+(1/4)*sqrt(5))] 1.27597621252806[(1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+1/8*sqrt(10-2*sqrt(5))] 0[0] 1.61803398874989[(1/2+(1/2)*sqrt(5))] -.85065080835204001[(-3/16+(-3/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 1.80901699437495[(5/4+(1/4)*sqrt(5))] -.262865556059567[(1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.09996006783964[(2+(1/2)*sqrt(5))+(-1/4)*sqrt(3)*sqrt(10-2*sqrt(5))] 2.08944949867966[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.11803398874989[(1+(1/2)*sqrt(5))] .688190960235587[(1/4+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.20448853110729[(15/8+(3/8)*sqrt(5))+(-1/8)*sqrt(3)*sqrt(10-2*sqrt(5))] 1.09492760331139[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.61803398874989[(3/2+(1/2)*sqrt(5))] -.85065080835204001[(1/4+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/16+(-3/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.90897706221459[(9/4+(3/4)*sqrt(5))+(-1/4)*sqrt(3)*sqrt(10-2*sqrt(5))] 2.67723475097213[((1/4)*sqrt(3)+(1/4)*sqrt(15))+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 2.92705098312484[(5/4+(3/4)*sqrt(5))] -1.12889095984401[(-1/2)*sqrt(3)+(-1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.01350552548224[(17/8+(5/8)*sqrt(5))+(-1/8)*sqrt(3)*sqrt(10-2*sqrt(5))] 1.68271285560386[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.11803398874989[(2+(1/2)*sqrt(5))] .688190960235587[(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.42705098312484[(7/4+(3/4)*sqrt(5))] -1.99491636362844[-sqrt(3)+(-1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.42705098312484[(7/4+(3/4)*sqrt(5))] -.262865556059567[(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/16+(-3/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.82252251985719[(19/8+(7/8)*sqrt(5))+(-1/8)*sqrt(3)*sqrt(10-2*sqrt(5))] 2.27049810789633[((1/8)*sqrt(3)+(1/8)*sqrt(15))+(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.92705098312484[(9/4+(3/4)*sqrt(5))] -1.12889095984401[(-1/2)*sqrt(3)+(-1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 3.92705098312484[(9/4+(3/4)*sqrt(5))] 1.27597621252806[(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 4.23606797749979[(2+sqrt(5))] 2.22703272882321[(1/8+(11/40)*sqrt(5))*sqrt(10+2*sqrt(5))-1/4*sqrt(10-2*sqrt(5))] 0[0] 4.42705098312484[(11/4+(3/4)*sqrt(5))] -1.99491636362844[-sqrt(3)+(-1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 4.42705098312484[(11/4+(3/4)*sqrt(5))] -.262865556059567[(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/16+(-3/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 4.73606797749979[(5/2+sqrt(5))] .688190960235587[(3/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 4.92705098312484[(13/4+(3/4)*sqrt(5))] -1.12889095984401[(-1/2)*sqrt(3)+(-1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 5.23606797749979[(3+sqrt(5))] -.85065080835204001[(1/4+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-7/16+(-3/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 5.23606797749979[(3+sqrt(5))] 2.22703272882321[(1/4+(11/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-5/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 5.54508497187474[(11/4+(5/4)*sqrt(5))] 1.27597621252806[(1/8+(11/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-3/8+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 5.73606797749979[(7/2+sqrt(5))] .688190960235587[(1/4+(1/40)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/16+(-1/16)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 6.04508497187474[(13/4+(5/4)*sqrt(5))] -.262865556059567[(1/16+(7/80)*sqrt(5))*sqrt(10+2*sqrt(5))+(-1/4+(-1/8)*sqrt(5))*sqrt(10-2*sqrt(5))] 0[0] 12.840390614776125 1.864388045981282 -.68687739395995457 12.915566179403029 1.5979499553267209 .27403851200236298 13.043915322186814 2.8411854932125177 -.75354403146282224 13.165551940876609 2.4100796066358084 .80125056471460243 13.197551591416427 2.2435883367502315 -1.5404833781506046 13.244876073543903 3.1784414250709907 .16616962660705407 13.407205294245484 1.5005313000965815 1.1393711569257395 13.539392205234284 1.3672998406101199 -1.2009786413984737 13.66102882392408 .9361939540334133 .35381595477895469 13.868702099375153 2.9477913103543882 -1.3088475267937807 14.046574510954563 .7936443436294947 -.5577947800118775 14.065514282691858 2.2502473331231205 1.2068629753459572 14.174923653738344 2.0368798815152858 -1.5853773234770667 14.193863425475637 3.4934828710089219 .17928043188076695 14.371735837055048 1.3393359042840247 .93033317866267664 14.579409112506118 3.3509332606049992 -.73233030291006862 14.701045731195918 2.919827374028295 .822464293267354 14.995561862886303 1.108685789567425 -.54468397473815994 15.07488599555359 1.8770476080026007 -1.1797649128457153 15.179609959304731 3.3678925312746027 .067339207975877391 15.19652261424339 1.4459417214259031 .37502968333171138 15.324871757027166 2.6891772593116933 -.65255286013348152 15.400047321654074 2.4227391686571367 .30836304582883614 :EOF