5. Poliedros inscritos en poliedros

Cada uno de los cinco poliedros regulares puede inscribirse en cualquiera de los otros cuatro, haciendo coincidir sus vértices sobre vértices, centros de caras (poliedros duales) o sobre puntos definidos de una arista del poliedro original. [br]
Actividad 11. Tetraedro inscrito en cubo.
[justify]Construye un cubo, Cubo(A,B,C) , vamos a inscribir un tetraedro en él. Para ello debes de encontrar tres vértices del cubo que formen un triángulo equilátero. No es necesario construir el triángulo. [br]Construye el tetraedro por los tres vértices. Si sale el tetraedro en posición no deseada, intercambia el orden de los vértices.[/justify][justify]Una vez construido, hacemos una simetría del tetraedro con respecto al centro del cubo.[br]- Construye el centro del cubo como punto medio de dos vértices opuestos. [br] - Escribe en barra de entrada: [b]Refleja(d, J)[/b] en caso de que d sea el tetraedro y J el centro del cubo.[br][br]Asigna distinto color a cada tetraedro, colores intensos y opacidad alta, superior al 50%.[br]Se obtiene una estrella, denominada [b]estrella octángula[/b] (tiene 8 "puntas"). La estrella octángula no es un poliedro, sino la unión de dos poliedros. [br]Como ves en la figura, los dos tetraedros que la componen tienen una parte en común (intersección).[br]Intenta "ver" que poliedro es la parte común. Quizá se ve mejor reduciendo la opacidad de los tetraedros.[br]Y finalmente intenta construir el poliedro intersección de los dos tetraedros.[/justify]
Actividad 12. Cinco cubos en dodecaedro
Construye un dodecaedro, [b]n=5[/b], [b]Dodecaedro(A,B,C)[/b].[br]Vamos a inscribir un cubo en el dodecaedro, los vértices del cubo están sobre vértices del dodecaedro. La siguiente imagen puede ayudar a localizar un cuadrado, que facilita la tarea. No es necesario construir el cuadrado, basta con visualizarlo.[br] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIIAAACACAYAAADHy7H2AAAgAElEQVR4Ae1ddVhVyd9///mtehWDRgQVFUSxsFtRrLXd1dVddXeNtddcO1BCuqRBpLtLQRQFExGlQaSku/vyeZ8ZvErcC/cKuHme5zznnDlzJj9nZr45/4f/jv9aAMD//dcK/7UAaYH/gPAfDmgL/AeE/4DwLwdCUxNATrT8B4V/49TArKtDrb0z6n/+DcxfDqJJzwgtNTX/ejD8q6aG5ro65Fy6hpzhYqiVEESLpDBaJEXAVNH8Dwj/lhZoBlAeF4uXw8cgU4wfdRIEBKKApDDKpi1CeVoSGqor/7VTxT97RGhpQU1pIbJf3MVz51u4f+YXWI0ZhAghASSKjkKNhAiqRwjDUnoYzBTGwf/MTkTZ6CMl2BP5MS9QkZ0OtDD/Ff/KPw4IdRVlqCnOpx353PAqAo5+D+ul4jCczAfjGQIwnSaIXxdvw4VFB5AuJoJMMQFclRbFH7NGQ326IG7IMKAqw4DFajm4/LwCIUpHEGmlhcynIajMzURdeQma6v55a4p/BBCaGuqQ+/YZEjytEXhiG1y+mwOrhZIwlOOD4Uwh2H0/Dx7HtyPSyRieuuYYc+4u/pi1HVYjZsJ/3gZc1PLEDtdEmFnZwV/1FBwOb8WtTXOguXAMLo3uD9WJg6A7RwyGi0bBbf86PFD+HTFulkgLC0DJu3gwmxqAlr839fG3BEJTXS2q8j8g62kIoq21EXpxH+xWyUJ/Ih9MZgrAZKEkrL+fhwgTFSQEeyL3XQJamM0orGnGxvs1OGhyH79MnoNT63fBKTQRAdlMGMfV4dCTWtxKaERxbROK05Lw7tkDPHM0g7/6WZjvXAH1RWOgNkMEapOHQmksA5rygrD9fh4CL+xDuP4VJHjboCA+CtVFuWioKkfL32ha+dsAob6qAkXJscgMD8IT7XOwXS0Hq3liMJrMB23ZgbDdNBO+Z3bhiY0Bst68QGVxQae5Xe11FRT9y2H9MA6bv92AK1qmCMxhwjetAYEZDXB7V4+N/kX4LbwKr0s/rw2YLUzUlJegLDcLcaF+CLPSgePJXbDYuQJaS8fh4uj+uDaOAc2pw2AwXxKWayYj8OzPeONsirTHQShJjUdNUV6n8rACmj98QFNAEJrvhqCluooV/FWvfxoQWroYSskg21hfj/rKMhQmRSPS/CbundkFp80zcGsyH4ymDYHZQklYbZoJvwv7EOlkhoK05C4bzu99FWa5FcHjXT2CPjBh4vcMztH58EtvpEAgYPBLb0BAegMOhRZD3rkAgZkNqGzkPOTXVVciLeopIuxMcFf7MhyO7YDuqslQkReG6pRhUJZh0PPOplnwPLARoSon8MbZDNmRj1FXVoyGmiqUeXmjeMU6unBtkhQH8+Q5oLS0y7r0xcuvDgTSrA2Rr1BraIwmM0sgPuFTvZhNjShKjEZigAuCVU/D46elsF4yCoYT+aAxlgGzZWPhdmADwi00UZSWiIrCPDQ2Nnz6ntNNelk95J3zcepBPoIyGuGRWIHAbCb8Mpo+gYAAgQUGv7R6mLypxOaAIhx/WoP0ys+jA6c8SHh9bQ3K83OQlxKHFx534HH5EKz3roeuohxuzhTDJcnW9Yb+XHGYrZoE751rEDN8LArFBdAkIQJIklMYjb//0VU2ffLuqwKhhclEha8/8kbJoXqEIJolhdAyXQFlft6IdjZB2I2jcFw7CaYT+egq32S2CKw3zUSI2kk8NlPHu+dhYDK56xRWa9U1NuPok0psDylHUHprZ2s73IWquSsMXULgn9U6NbCAwLqSkcE/vQEGb6px+HEFLJMaUEeYETweZODLiotG/IMARNgYUnCY/LAEStNFYCg1FK+EhyBDTABl4sJolhSlbVI1dTnqmxp5zKln0b8qEKqTkxEnNQk5wwlDh6C/laHzXkyCDvlkrrdYMR72uxXhr3wcmVFPUFmYC2YX00h31Vd7Xoj53qV0CiAdSzr6xEU1rF20GFdvGn5aI7AA0PFKAHEnoRZ7H5TjwrNKJJfzBsSO5WtubkJVSREKM94hxkAPwQJ8uDOCD26jhqBYXAiVIwRRNnctmpu/AHUdM+Ph+asCoTQ8Aq+ERZEuNgyVI4SRLSaEFNFhyBQbgfsXfsMrF3OkvYpATUU5D1XgHDWhuAFLfUuh+7oSgRmtawH/zGaoWLhh27qNMPJ4yHFEaAsIAiD/tAbsDCrCUp8SBGTUo74X+qkyKQl28lLQnTgIlpIDkSw6FKmiw5Bz/DTnSvXRm68KhKr4BDwVHYO3IkOQLiYAK5FBUJdiIGy6HGo/ZPZqFYur67HUNQtnIsoRkvV5LeCX3gSvlGrYP0+HT2pdpzVCWwC0vfdLa6BTy/WnpZB3ysWhiGpkcrl24FSxOH8XaMsNokyuR5MnI1xsDOyGMPDg/D40N9Rz+qxPwr8qEFqaGnFv9jyECvDRufH24AG4OIEPKlOGIljpCMoJS7eXjgsRpVjikQv3xAr4t6EMfN7Xw+tdDQI+MOH9roZrILBAQRabTok12Bdahn0PK+Ca1oiGLxgdMt+8wJ1Ns2EwZTBClI6jKvIV4n1dobpgNHTlhyHe26aXWoK7ZL4qEBLCgqA5Qxy2ovyIXrISiVt/QpiuCq7NlcQliX6w27YQeW9fclfyLmIFvquAjHsB7JPrENAGBIRUdI8vwwUNU5j4PoVlcDTIVMHqZG6vhMwMzmqEydsqrA8qh0Z0DUobOJOZHYvaWFcLt4NboDmSgeDLv6Gu5jPvIMxKF1fGMWC7QR5l6V2TxB3T7cnzVwNCeV42tJbJ4srYAfBVOorGNkPf60A3qC6VwQXJ/rjz3VzkxTz/4joV1jRhsn0uLj4qQFB6fbtOZgFhw8q12Lp6Ne48SoBfBu9AYAGmdfFZj8vPKrDvURWCMrsnZZnNzXhmrQu9SXywUpRGYXJMu7qShaTlnvW4MY6B4HM/o7G+tt37vnr4KkBobKiD27m9uDiqP4w3zgLhEnY8clPiobt5Ps6PGQCjZdJI9HNAc0Ndx2hdPjc1NeHX0FL89LAagekNIPM6q9PIlQWEjavX4Ye16+EeW9KOodQ2Li/39zIacPxBIea55sEgvh4fqjhTFkkP/GE4Rwwms4URH+DMVj/qQ1w01OaPgs7kwUgOdO6yzr318qsAISbIA5fGDoDWAikkPbrLseyluVmwO7kL58cOgNrEQQjTOofasmKO8du/aIHZm2KMv5MBr9T6TiBgAcE7pQZqFu7QsPSA97vaXgECSZtMQa7JtVjmmYdVQcV4VcFEUwc8VJUUwG77UmhKMfBY5wIIX4Xd0cJswT0DFVyTYcB2/TQUpcSyi9arYX0OhPzURBh8K4+Lkv0RdPNst4UnbFsvlTO4MGEwro4dQAU6taVF3X4XX1yPiS6FMIouR0CHKaHt301GhaBcJj3bhvfGPVmUeqbU4sbLcmwJKYdJfC1qPy4kyZTgc34fDOT44PjTUpTkdE0l1VVXwebAd7guNQAhl/qeiuhTIBB5gsvpn+mUYLd3HYqz0rrtUBKB2dSEcHtTXJwkgGvSDPic+BFlWe84fltYWYfV3rn46X5uO1KxY+cSELi8KYDr2yK4xxbD9337NUTH+F/yzJJXeKQ24MqLSpx6WY8HhUwkhnhCb8pQmM0VRU7MC451afsi9WU4VOeNgu60IVSy2fZdb9/3KRCi/ZyhNHEwrk/kQ1Y07wvAuNAAaKyZiguj+8N89WSkhHiC/FltD7JWV42sxCKPQvgmV8A37bMQqWNHEgrBJPAldu/ciyMHT8IruarXpoaOefllNiPgWTrMDYNw7JQFTBQnwWAKH55baLQtfpf35Ed6aKlDqQi7PqYi+gwIpR8yoK0wnv7RIXpX21EJXda+w8usuNfQ27IA50b2h+4sUbx1swKzsgKNRFiVkozg+HxMci+Bw7vWebpjh7R9DshiQtspBGsWLcHhg7/D5+MagYwUrLMVSARMn0/yzje9qfNJhFaE6uh4ZjFxz/0xEpdsRJ2EGJWrRAkPgfq29XiVU8F2gdih2p8eWVSEyjgG7hEqoq5vqIg+AUJTQz2s926g6wKTzXNBnntylGSnw/b4Lpwe1R/mk4ejYMlq1EhOBkZNhsfi3bji/gZ3iV5Bxw7p8Ez+UpeYYhw6foHyEQhTyTejqVUKSTu19Z5KJT89N8M3tRZeMQXwji1sd3o+T4bns6T254sUuLsE4oXMTBSJC6BBQviTTMV//X5sCGuE47sG1BCTCi6PD3Gv+5yK6BMgPHUwo8OZ1vxRSHzMmUrgsh1oNMJ38Lp0FPcEhiJvOD8aJISoyJaIbWO27YPj/RfweBgFF89AuDi7w8XF8/Pp6gVHc3M4GOrD0egWHI0M4WRsDHsdDdhePQfbq+c/nXbXzqPtaat0Abbnj8P60A7cOfzTx/NH3Dm0A5bblsBi66J2p/m2hTCfMQIRgoORM1wQ1SNEqFSRqM7nTV0D15RanIiowrnnNYgtaT/NcWoPoul0z1AZV2UYsFs/DYUp7XkPnL7jJbzXgZCd8AY35EVwRWoAQg2UeClLt3GrYmIRLSKJD2L8VPu4mcrvRfBeTBAmC6VgoiAN4/niMJ4jAqOP563Z5F4UBtOGQG8aH/Sm8EF/ymDoTh0MHblB0B7DgObHU0OKAY0xDKh/PNXGMKAhNwhaU4ZBW14A2vLDoDmNH1ozRaC7UAq6i8dCZ/EYaC8ZA+2FUtBRGA/ddbNgqDAFwQJDkSTKj7zhgigXF6bTw7sZ6+H7oVXuoRldi8OPquCUXofy6upu606piIPf4wahIi7v7XVZRK8Cob66CnaHttEpwfHgZtRWlHVbQV4ilIY9QoSQIBJFyKggRBu4TkIIcSIS0F41DVob50F/9wbo71oPvV3r6Km781sY7NsK4z+OQmflIpyaPAoHZ4zG9aXTYXXtMiw11WGuoQZz9ZswU78J05tq9DS5qQZjVVVYmJjDytoBVlZ2sLSyg4WVLazs3WDn/wi2fmGfT9+HsL37DC4v0+HyKBZBc5bjqdBgxIkMxXsxAbwTHYbHhy7BJ4dJeRxENc4xsRYKQYXYE5iB9xXdjw6pkRGtVMSUob0ui+hVIDyxMcKFUf2hNl0I2bFRvPQxV3EbS4rxWmE1HXbjRPipyJYYqzhtOozLDzPhEZUJz9hCeMS0nu4xhXCPKYBnYjlcQpNwe+42HJ2jiLUrVkBn3rcIOq5PZQ3+eUz453Y+A0hYDhP+2R3OD0z4ZXE4M5rhR77zeoJ781bgvqQs/Pn54DF9IrxfZsI3/TNLm/Ad3JJq8fO9ImwMKEFQVhNqmzjLLNpRERt7VxbRa0DIinkF7aUylAn02LzvTMhKnj2DjcBgBPAPQqTIaGT9sh/eL9Iw17MYu8NL4RJfiUDSSaRDPp4B+UyY/a4BizFLYTplFVRnrYK73Er4jlsOb48X8M1mr6XUluLg+T6zGX5JlXBxD4XSNBGYzhGGe1g0fDsIuYi8gii/aEaWY4F7HnTe1iK/ljMY2lERZ3f3GhXRK0AgVIHFzpV0SrD6cTka63mTEXA1HHyMVJCeAq2pg+G0ZjIqY+PQ/JGcSiyqxb6QbCx1z4fqm0r4vav+xCMIKGDCYPdFGIxZAocJq+At23q6j1wIL8dw+OX1ARCInCOjCV6pdVDdsRY64wfC/tJJSoJScrSDHIQAwjmxCjdeVmLngyr453BWVWsri0jpJVlEj4FAVK9CjW/SFa3W/JHIionkpV95jut7/SQ0xzJwV+VEp2+J0MnwdTFmeGZg/70CuKc1IjCrGQ6Rmbj03R6oj1OAqewK2ExYAQfZlbCUUYD+eWVYv8xiq8jK8yjQoXPp9xnNsLJzg9qkIdSszv3RW/gRspVNXDJVkNHBLqEOPz0uw7lIojjbee1ApghCRbBkER0lmJ0ahouAHgMhO/Y1rk4cQqmE+/q9SyV0LH9TUyOstytAY+QAJN717Pj60/OrD+VY7/UBO8PqoBWRg7NHj2PPKkVcXLYVWlPXQk96GYymrccfq7/HHsUlOH3gMG4HPGPbOew6jKewjGZ4xpdAY4sC9MYy4Gx1hyMQWOkSQBDllzWeuTgQVobQnM5rByKTucOiIi71nIroERAqCvNhs28DroweAPv9G3udSvjUsx9v8lITYLhoNCzmDaemZh3ft31urq/DKX1HDDnljIW/nsTvB47C3PMxbIx9YaViAxvzANzyDscf569j1/IlUNcx+TiVcGZRszqK1ytZbOqeOQ6tcQzcPrwDPimfpy1OadG1Q1oDdF5VYIJDHjTe1KCygdnOtI7IIlTmSEJ3ylAk+tq3rT7P9z0CQsSdWzg7/BvoK8ggPyWe58x5/eCtvytUJAcg8MR2tHSQObRNq7qsGOGa52A8UxhnFKZjiaoLZtq+h+X7ZtzLZYJQA2R4JpxFj4RynFPSgsW9KPrM6hi60Gyj3cQK/5Ir4WgSclNlqiBM5w+HV2R6KxeUzfTQMX0yVVjHVeHEozL8GFSIiLTPYnkyRYSY3KTKPg5bZqHiw/u2zcDT/RcDIeXZQ+goTqSFeGpjyFOmXxKZ2DP4XD5MGUAvTVU5JkHIVpc9a6E9lgGjBRJ4ZamBgrJqKD0vxtrQcpx6UgPvtFabBdLoRJmVLt7aSCJ90hrgGJFMyU4ic2C3uOvYYV09k++9EsugrDiN2ms4mppR8rOrb9q+I7oOZISwjq/F8cdlMIhvQMVH1Thi2me+azVUxzFw/8LeL2bnfxEQiM696bYluCDeD+6nd6O+pnvOGMee4/JFTXkZtOZKwFBeAElPH3b6iiwUk4JcYa4oA+1xDFhvnoV3EcHt4j3JLMdyt2zseVgJs/h62rgdtZjIKGEV/BqHtmzGpRN/wC4sniuV97Ydx+6eiKdvqapSrW2bvZvhSw1reJuGCBickmpx5lkNDj+qwNOCVoFFdmwkVOdI0CkiNYTz2qldY3R44BkIzOYmPLLShZLsIKjPHYESLnUMOuTL82NaZAQ05QbBbsN0NHewAqouKcQ9jfMwmMQHXTk+eJ/ZhfK8D2zzaGhqxvnH+ZBzzId6dB2837fXZiKiaqLqfmj/EexWVMCZfb/B0NoTHvFllBxk18nchPl/YOKOdyiuyzIoWD3DY3kaFVh5EDDczWzE4QfFkHUuhFliHaqbWqjtJdHdcNg8A8WpvE/TPAMhNzEGV+WGQEmWgecOphzVrdj2Qg8CHxipQnMcA+Fan7WciKJXcXoKXPevhfb4gdCfKYQIcw3U13YzQrUw8TK3BpsDCqHglAa7xFpqDc0aHYgZnGtMES6q6OOnlYq4dkUFPu/rPk0RXzRVZDTDI7YAaltXQF96IOyUL8OH6FV+4TrkXmYjTN9UYr5bLtaEFuFFQjpsDmyGihQDoVcPgtnSmezsqvl5AkJVcSHsD36HS6P6w+HQd12l26vvmhobcGfHMmhLMZD9PIymTXhvSY+CYL1xJnRkBsJUURZx9zx5MhUrqKzDpfACzHEvxPWoWioDIBZN5O8jIwPRadSy86cLSqqP8PEdS4+B9ZdyeyULVAtLW2hMGgzTZePh/TavVceBi0UjuzzIQtIztR7nIspwJLwGms4huD5bAnozhRB/4TSaDczR8OgRmFx4jeMJCGFmWpRK0FWQRt5XoBJYaMpOjIH+PAlYKYxFeU4GdXrxys4IpgtHgkgM7XetADEY+dLDM6kMi91zsf1eOWySG9poQDdSSuLzX9sI7+QqKN/QhOOz9yDUwOd37TWm2XUcievxtgDK88fARH4oFZmTNNjF5SXsbkYjnJPqcCiiFlv2/AFVKQaihYdQg9pmyXFoUtdFSzfqMNwBgclE4qO7UJkhRjWOnnwFKqFtp0Z72eOGeH+47FuP3LR3CFP+HfqT+KA3bSgCiYVUQW7b6F90n1FchV1BeZjnWQL117VUn5E1OrA6hUwZt7we49c1K3Fm334YOfjDM5Gox3UPAhKHAIGY2eke208XtHeO/9otc4nbtAkTyiejCaY/n8UDAT6UiQtR14FEX6NZUgZNb9922S5dAqEpNxd11jZoPHwCZiun4sKYAQhSP4f6NpY5XabeCy/JwtDz7B7ojh8Iz8Nb4PLLamiOZsBk2Ti8crPqZfc0TLjFF0PeIx/b/NPgmFCDgIzP9hFEc8n2SSrOX9fCT4rLsHfFUuiaOVIHG13pSrbtTLJotHbygbIUA1Yb58DrbW6PjGxYaZOyuUcXwERxF54KiaNcXJC6EGyWFKaW541evl32Bkcg1CanIGveCpSKC1DHlETj5s4ofpS9S+oywd5+WV1aDL2FUpQi0CKjwMRBsN+pgIxXEb2d1af08qvq8Z13Bua6FcI8oZXnwFpIEr1HYjanauqE33buxi2nu+1M67ubKshU4Pw0BSoKk6izL1dXH/h9dN/D6lRurzSv962jEbHpvK5/B2fmrIXqpA2wHLcS2cOFUSYuiAJxCdQ9Dv9UP3Y3HIGQdvYSkkSGUuUPliZQjYQwmJGv2aXTZ2GvvOyoxfAtOTIVDMNdleMg5GJfHxU1dfBOKYeCZwF+DKmA5/tGunYgnUQ6gHhccYz8ALeYwk8CK/JXeiVWUsXXrgBBdBk09u+iI5v99YutepM8Ug8kL8IVdXiRQacbopG9dfP3+FVxC6b9YoWdy/YjSIQPb0SGIWfDDjBru1Z65QiEqIWrqPk60QQiACCuXRolhFCto9/XfUDTJ1QBEbfe/mkZtGUH4dZiKYSba6CZyRtZ1NPCPksvwd7gfGy6VwGN6Fpq0cRaOxDKgnQIBUdGM1yicnDjigosfR53CQYCBDMLWyjLDYbFchl4hMdxxXIm4PJJq6fcUMuQNzjxxzXoONyFf1YzvFNroW7hig0m4VjhlAHDjcugKz0QL47vAbOceJTt+uAIhMQDRxAuyIdkUX7qlLJIXBC5w/nhPU8WiQGOqCvr3vqo66w5vyWmYMkh3jBWkIa67EAYTOZDfJAbz25zOOfA65sWaD/Pg4JHPpSi6uCQUk/FxazpggCBcCQt70Zix9KFOLx5I9S1jOD+Ood2WsehnnQolUhuWwWDCYNwR+l8t4tGfyLFTKqko5DXu2r8fuYqFGfPxq8HTsDkbhQCMptgHFePSe6liK9pQcC1o1CT6I/n5je7oRda24IjECoiX+Hp6Anw4x8I5xGDES4kjNARo3B5LIN2jvuvq5Dg44D6qt7xbsLqGuLV9IWFBozniOGmNIOedhtnoLqks7s81jdf59qCgqoG/BCYh8VexbBNbl1EssBAOtctrhQqJk7Y+8MO/LpiKXQ09UEWhx2BQEeQLCYszK0py/n2DkX4pNZw5CmQtC3uRkFJ7zaco3Ip6HSdQ3BB3RQmgZHweVcD99Q6THPMgXFUazsFapyDmhQDj7TO9wwIpHFrkpPhvXc71eT127saRXFv4a9/HerLJlCPpORvdfpRAYkh3r3SF0Xvk+B/dBt1JXNrvgRurZmKm2MY8P99O5obOWvs9ErmXCZSXlMPx/gyzHIrwO4HlZRiCPw4v5MOI34bLe6/xakzl2AT+hb+H6cO2vnEhoIVN4sJ+5BIqM4YDuPZonALCPs0KpA4dL2RUk0ZW7cfxOO7bzdiveIq3PJ5ArJgJWdQDhMBmc3wT6vD9nul2BNWiYbmVjW3cBtDaMgOROCZ3VxpjHEcEVjtEhPiC00ZBnz3rmIFoSQ7A/6aF6G5XA5Xian74jF4aamBsoyUT3F4vXn/KBB3Ns2kquVmKyYg2s8RTse2Q09mICLNbvKaXJ/Hj8gow56QQmy+WwatZ4UIyGj8ZIFNKAPKkiYGNixuZGodHJ+lwYdYahMwpDfBJ60Omrs2Q2c0A06G+vCjupON8EiqhGnACzi8yKQdbvc8A3v2/47fz6vAPDj6U5okbcJdvPqkGBNts5BT/dlq5u1dT+jI88Pj5+Woq+jeb2O3QEgMuwt1aQZcNsh3atyCtBQE6V7DjVliuDZ6ACxWTsRzY2WUZ6V2isspoLqiDOEmajCZKQTtiYPgdmQLitKSUVlSBL0FI+nfkvMVuZicyskuvLmZCbWn+VjolIlLkXXweN/aMazOZ13J320bnowze/bhmroRXGNL4JtaD5+oAhicPk2nP4utS+DxNh/eqXX444oGvl+7CRfUjWlcsiglsg9CGZB7VrpEAGWbWAd51yLcTats50k+7mEgdGaIwGnTNOqknF3524Z1C4TC98lQlWbAbeP0tt+1u0959gCmu1dThpPyWAYsFcfjpYUGijM4WzCTBMqzM+B1/EdKFRAuYajOJdRWtjrReBPoDs3xA+G6a/mfuEhsV00ODy14X9aANb75WBdQijuJncXbhCOpbumGn1auxN41ilC+rAL7q+ZwW/0bnJduxfUJw2A8gx+O/o/g+a4G27dsx5YNW3DqigYsH8TSjidgYk0rBAiEcnFLroaidwGOhH9WVmEVMic5DgaLRsNu+VhU57OXxLLikmv3QEhLoW5c7FZOQFkXrNyqkkJE+bnA8PuFuDZxCK6P7A/b7+Yi3t+5VVmirh7Nb2PQ8uYtkJaGhMfBcNm1HFpjGbBaNwVJ933adbjzsR1UjhCqf61tef+y9xW19bj8MBsTnApw+lkNfDqMDsSBl7HvUxzcdxgn5i6F1dil8JReAY/xy3Fqohh1peOgdB4+6U2wCo2D9aMk6uyr7QjAGgnIlbgLPBlRAUWfQpRWdd42oLayHCaKE2EuP4QrzaVugVDyIR0a04Vwe+k46iSyu55oqK3BU2dLmOxYhqvSDGouFnzjKFLOnESZuBiaJIejWWo6vGdKQUOGAdcDG5Cb2J4PXltVCctNs6ElxUDms85KKN2V4c9734LHmRVY4ZGDb0Mr4JzaSP9c0nHkbyZe4C2D30B9+gZYy66Am+wqOE5ahUMz5aEiO5COpO7hcQjMa10Mth0B2oKATAk6kWWY7lqE2JLP64K29W5ubIDxCjmYTx+KCi6m6rnHFaQAAB5uSURBVG6BQAQ6BssnwGyuGNJfPmqbV5f3VaVFeO3nQikM4t9AazQDEYJDP1kG5w0XQdDlQ2y9qBOVeN2ZIrBfOxmVHBRMusz8T35JHHdcflmCJd5FUIqsoX8v6TzSsd6JldBYuAPG4xVhP2ElXCeshoXcMqiNF6HbDDhZ23TJcibCJefEakx3yYHKc868HGJrYrh8IoynDkb68+5/pm6BQDrUZNMcmMwQROrjQJ6bOPF+IPTHCuPimAEIEBiCRgkRKrtokhyFhidP2ab3zNYIysP7I/TyAbbv/x6BLfBNKqWOvX8Jq4JNYutwTnQZjI5rQkNmOUxkV8J6wirYyayC6oRx0JIdCOtju+HdhZYzcRi+K6SMqrk3NbP3wUTah+hwmG2ZT10bpzzw77bJugVCfW0t3dGEeEiP87DqNsGOEVqqqvBi+jzc5R+EFFEBlIgLo3KEEErEh6Mm5H7H6NShhsOBzZTjFu1q0en93y2gqKoeO30zoOhbCu239fBKb4JraCIur/oR1+UUoDt9Pcy2nYaZpilUZ4jCdK4YvF6msWU5ExW1Mw/yMcM5F2llXVuTEcMjp6M/UJ9N0c6m3TZbt0Ag7Am/GyegPZqBV6bK3SbYOUILsnQM8ViQD6+Fh1CW9Xvif3nhGrYq6ZWFebg5aQjlLGYm9r4fgM7l6/sQooH9IKMS8k7ZOBxRA9vIHBz+ZQ+OrFsL01uu8EmuhXdKFa4rTqN/sKOZeSd9RjK12CfVYoZHCTzeEVW8VsYRp9ITVfcAtTNUWvtE/xKnaJ/CuwUCiXlX4zw0hvfHE7VTnz7k5aapogLvr1zH8zFyCOIfCgcRBrKCfNgm8drLnvITPH5WZPv+7xyYUlQNvehKTLNLx+qdx3Dl+HH4Z3700pLeCEMVFeqb4c6eDe20nAkb2yOlBkvdsnHj1WcvrV21BTWL07kMXdlBeHD1t66i0ndcAeG5nQnURPrjqXrPvIY3F5fAYqsi1Mcx8Mz4OtvCuZ3cSbmLUXf02L7/uwcSLfA/TNwwdp821qu5w/l9MxVvt2o5P4CSNAMWKybA82nip1GB+H8+FlqEJV55yCnvWpzctn1euFhBW2YgQk5tbxvM9p5rICiL9EMEG8NTtql2ERgd5AGVCQPhsEYOZJOutkdJXjaMV8rBcMIgFMT03Cdz27T/KvfEUtzq28m4PFsKiw0eY/3dSpjEEtW4Bni+zYfq5qVUfGynfgM+RI6QTrSVKyDtVISowu5d/Lat57uIEKr57bNboW0w23uugPDK3RaqEv0RcHwHmjl4C2WbOptAYrxpsmU+DCfxIdnfqV2M1Odh0Jo8FNZrp9Itcdq9/Ic8EKVf/dmisFk6im745ZhYiYnWaTh0vwABRGBlbgX1SXwwXSEL75g8eKQ1YYpjNrSjCPeQM5XArnkyo55BfSwDvj8vZ/e6XRhXQIgN8aH8cNedy1DLxo9yuxS7eSBzV5ilDpRH9Me9k9vbmWi9dDLHDbF+8Dm1Ew0NvKG/m2z/Mq9DjZQpI424ymN+3I8qobAGv4cVY7FfBYwep8NWZjRiRYYif/Yq3N91AUcDc1D/UarIS0XSXz0B8QPl+v3cT6x7Tt9zBYSk8PvQmMQHp63zUFPema/NKXFO4R/io6E1aziM5Yeh6KN38toPWXBdtwAGE/kQ7WLG6dO/dTjhujrsXQf1kQOQHNDe2XZTczM0okpwZY8a0sSI4mmr1ziy71XDkbOEMcBz3Qljjvi0dtg4HVVstj9smyBXQCB2BbpzJGC7UgaVeVltv/+ie6KBZLZ9GTVojXOzRPktc5ROm0v3evogJoJyJ8cvSvev/lH++yTcUpCB2Xxx5LJZAzUWFiBm6rxPWx216ooKo3nkRDCTeN+7gUxDOnMlcHv5OBS9T+yyebgCQnlRPoyXycJ8hgBK03pHi/m+0U2oyQ5EwHQZpIu1bmrF2u6uZcYyMIv6XkG1y5bpg5cpj+9R4xOb7+ahrKizxlVjfj6ip82nntgKxYWoC0HisLNihDhKvHg3bi3MSIW+gjT1/5z9+kmXNeIKCFWlxTBZNQm3ZAehKCG6ywS5fVmclQ6lKfzUKRZxP0e2u2v86KWUKMkyH7NnP3Ob/l8tHpPZjGDtS9CRHogHKsfZFi/ndQR8JkpTr3FEVzRbTJA6FyVWS46KUxHnY4sGHtZoFcUFsNgyv1Xe8Khr8QBXQCALPMvNc2E4fhCKE9+wrQSvgWTRqbl6MtyHMhAjMozu+FYuLoRaCWGUiAug/mHf2S3wWtbeiE/WB2brZ8Jw2lCQkaHtQUjKVw7GsJg3gjKAPEREKBgihYcgXnwi7u/ahutTBegu9kQ/IznAhStA1NfVwXH/RhiMH4TUYI+2WXa65woI5CuzTXNhIDMQBbGvOiXCS0BjXQ3dvMPil3U4IzcUBoP7IUJwCGJFhiFNjGz9x49nQoPhs2MZ3Qeal7T/ynGTn4RCV14QNktHoqHysyPS6qI8BF85SPURdCfxIfD678h7/gS5FreRbWRGPccx0YLHNkZQXjAGl6QGQE2aQRV2Yn3sQJR9OR2NjY1wOvgdtCUZSHDvWk7ENRDu7F5F9QfjA1w55dtlONnuN/FBAAgATo9j4DeR/+HyXClcnyEBl6EMuvPbM6GhSFq4Cj471kKZcNjmiiL6tjZqCnO6TPvv8PKhqTrV/Qy+evCTjCX1xSPYbZlHvbuYLhuHKLfb7ZRzOtarNC+b6opqEOXhUf2pcqrviR0o6WLd5nvpEDRGDECix+2OybV75hoIrqd/poabT82532+A5ETsJJMf34PFz2txYlQ/HB3ZD+fkReFz8xxyEt/C/dJBmq6nwnQUB4eiqbwcdXXVCNK6AK1ZYpTdHLB7CUrjI7tspHa1+gs+uB3ZRjWuyD5O5Ih2sYDxwpHU/6LtjiX4wIaK4FSNwvR3CDZUhvqScbg2ljjekMUzQyVUstkVxufSIahLDMALE5UuxVRcA8Fb6XfaYeF6lzmVr114TVkxon0cYPzDUpyWHoSDYt/g+tIJCNS9hqI2uowZ0S9wQ4YBm1WyaGr67M6fyNYIHWzxw2KokcrOEkakqQqYTX8/RhMBvMGCkbBWlEHm66d00Wg8Uwha4wfC79JvX+yNrizvAzwuH4HSVEEQXVHzZdKIstJEaeZnXdGAm2ehOmoAHml3bd/ANRAeWerSoS3k3C/tOrzjQ015CaI8bWG0dQlOSvXHEYlvoLRYBveM1FCY3lndnWz/S3ZTJyznWHfLjsnRHeHDb+tCc6YI9CfzwW//emRFtF9sdfroLxYQS7YzHDUAt9dOgcehLZRyIGzml/bGICz3nhzEWjzxcTD0N8/HFdlBuD5qACxXTkS44XXUlBTijeYNeAkMxJvVCmhK+QyQjnlyDYTYe14UCIHH2XtKqSklI4AjjLYuxqkxA3BYvHUECNC91vVeTi0tuH9LFddF+yHk7M8gFAq7IyEsEAZrpuGGZH/YrpBBrLMpyvOz2UX9S4URXQRfpWNUL8Bg8hBqvGO6ciJivnCtxaly9bU1eOF2h47AZEc9wqNx2TQbMaPG0I3HCYeyZeRktESxp/q4BkJCeDC1b/D4YWG7stSSEcDLFkbfL6ZrgCMjv4HSElmOI0C7jz8+EI3m6zIDcUdRGhU5nLcFLspKQ4DaH7g5ZRg0RjPge2A9St4noLHp6xrGsqsDp7CakiKYrJWn+ohkM3DXw9+h4H3vMOXY5VlTUYroAFfor55OXR8SAyHiyR6SonSjE+ayTWgp+0y1sNLgGgiF7h4I5B+EKNkxQNB9VOfn4LWvE50CyAhwkNsRgJVzmyvZlMLiJ0XojGUgya979nKUrxNMNsyiI5TpHDE8MFT+S64dyFoo8NSPVNGGbPoZonmhW+FPm2bp0W1+YCDsxESgIzYA0cL81JqdOM2olhgLZnpGp7S5AkKJlx8yxEZ8EoRECYvi1tpZODG2P1pHgPEIJmuAtM5rgE45cgiIDnCnEk7/A+upjyQO0T4FVxTmwfPSIdycNBhGU4ci4NBmFCWxH/Y+ffQVbxJD/WD57VToygyE+viBcDixs8tVe28Xrbm8HE9HT8YLoSGUQ1ksTvREBVA0QwHNxZ0Fh90CoaGsDHHzliFDjJ+6YCkSF8apUf1waOQ3uK4wEYF63awBuKxhZXEh1GaIwmK2MDKfP+DqK7L1X3yoH7QWjqGLMfvVE5HibomaKu7UubjKhMdINTU1iLI1hNEcMaoUojZhEN0yKCXEi8eUehad7AN1f+lSqitKdpgjO8mQnW8KDIzZajV0C4Tqd2kIFxTEO1F+lIgLoVRcGF7D+BAgJIQcjy9jLrGrYnNTE7wuH6I2/WE3jrGLwjGM7CMVePMPKnIlPgwDTvyIivREthXmmEgvvCCm+wGXD0NrDAO35ojB64+fqdnZnZXje01Yx20xk8KDoTZNFNaiQ/By9mK8WbISRU6uaOawf1S3QGgsKUXkzEV4KTQEqaICdC8lMsQUj5BDS35nCRq3BWUXL9rfDUoj+8N9+0LUlZewi8IxjKzOw6z0YLZpNv0THRVG4bmTxSflD44f9tKLondxsNs6jzr9Mlo4Cm99HBET6E41hAKObOJIDfVS9u2SIQI9rWUT6LZKnhcPor68DM1f6jqnbcrFgXfxSHA43azqjcgQ6sPvpeIyMHv5nyObhOstn0hZ2blf6CyrvCAHtge20NHh1iQ+PFI6jNri/LbV6dV7AsDEIDdYLZelDDfLjTORFfOSOv70vXKECpFemKn0ap5dJdbU0ID7hjdwQbI/dJfJopBLCqXbEYGVaZ6TC2K27MDr9d/BaBQ/9e4Z0wcGKNa/baGs2OeGX74JCJHmvXCxhNZCKbrbi8PaKUgPdmdVpdeujbU1eKx3GYbT+KkauvuxH1CU0eoSgLDWqTc4+WGIexzSa3l2l9BzFytckxsKVXkhvOGBV8E1EFgFIOqT/tpXcEmiH+6smoCKbM50P+sbXq7RAW7UINRhzUQ01XOWrHGTJlk7uJ3eTZkrZtOHIezqQVRxYRDKTdoFybHw2b+euv81mCOGJ7d1QMhg1pEcEQK9afxUTaypO9/QrI96eCV2qqbfLcR58X54YHCdJz/ZPAOBlJWYXOttmEMdQAdf2IPG+vZq6T2pD+GQ3d61CmRYT+6FjauIDSDxJm+wbDzd3NP/h9nICPNHUw82IEu65wnLVXLUPZ7F+mlIZGNbeFfjHB0lInQugCil9PVBOLIuZ36lTCTjDTNBplleji8CAsmA8LcvSDMo/z+ph9vIdCzwMycL6nI3+PRPaO4lIVNBaiJu/7IGN0YPALHjjDJVQWPt5z+4YxnYPVdXVyNM+xJuyQ+jUkP3o9tQnNnZOwzxAnN7hwJ0xjCQ/oC9RRe79HsSFu3vjGsTBuP6RD6kPg3lOakvBgLJifhRuizRH7Zrp7STePFcig4fZLx5Cc0ZotQCuyip9+wfCfvV+/pxaMwSo4s4+w3Tkfmi1dt7hyJ0eizNeg+3Y9voglB7Eh8eGlxHYx17Q9T81ETozZeE9eqJKGEDlE6J9zCgNCcTmgrj6d5a3leOgBjA8nr0CAiVRfnQWDkVKqMG0D0CeM2cU3wylJr/uIwa3iZ42XGK9sXh7189gcHa6VS8fWepFB6qngShNjgdiREPYPfdHGhKMWC2Sg4pj4I4RaXhRBVNZUR/eB/e0udyEOJtzvfGCVyQ6AcyJVSXcvaZ0FWhewQEknBieAguTeCDwbRhiPey7Sovnt7dJW78pBnw2LWsW8tfnhL+GJmsc+4bKENZdiC1Mwg8tBk5sZGoy81FY0AwmAEhaMzKRIy/EwxnD6c7tNn/tJySht3l533pIPTl+PDa0aS7qD1+H+lpS8XPWvMkeKISOmbcYyAQjqCP2jlcGtEPNmvkUMWF46aOhWD3XJSZBiVZPtxeMALlvUyZtM0v5UkorHeuhPKoAbCaKY7U6Qvozu5EbFsvOwtuE0SgNp4Br7N7uNIdIAvnW8snwGiGAPJ7cVprW2bWfWl2BhXNnx/eDz3dhrnHQCCFqqkog/aa6ZSKuH/lAPXWwSrsl14b6mph8oMC/RMju9jV7UvTb/tdSU4mnE7uhi//QHwQ46ea1CyxLeGmPrXSQxOXDj+JWzvtyUPgsn4SmvuYbHQ9t4+uC8y/X4DiD2ltq8Tzfa8AgeQa/zDoIxUxBEn+3YuSuSkpkUiqjWPAc6dCr7v67ZR/YzMihMSQJsYPolZPXPy07nUwEqhmvyjslEYLcF/1LNRHM3Bf93K3u6Z0+p6HgLdBHlCSG4wbcoN50nfklEWvAYFk4KfBoiKmorSNXiKnzLsLJwwaondgKD8EmX2sntZUXYPHQpLUI32mmCB18VMxQghF4qJglnbtb5roVNW+eIXiRStRLN5qk/De0qi76n3x+7x38dBaJkt9KfirnASZnnt69CoQCBWhuap3qYjAIz/jvgAfcidMRsupS0AO59V9TxsjS9sQDwX5EC08lPp7eic6FNnb9wPMz+pzhHFDqBrWSfKsePkKiaJidJOMFkkRqgmEUfJoSuh9TSTiLc3ql28pZ9f8uwUghjO9cfQqEEiBKBUxfhAM5Ich3rtnpB/xEJ84QvpjAwu3NvDoGWAmJKKxoQ6NtdWfzoaaKlTkZqIip8OZnY6C+KjPZ8Jr5L55jownIch8ch+Z9BqCrGehyAj1h/+USdTOIoCfDw8WzETkLWXEOJvirb0RYhyN8VTnIh5eP4KHN461niq/457CbCrvJ47CWr3GtaqFNer3/qhAmG2XpRnQnDsCb/zbW1T3BBC9DgTiGoZQEWQlS6iIyh5QEXmWNogRGUr1IEgDsxZwsZMmwevgevjs/bb13LMa3r+sguN6eTisn/bptF83BXZrJsNsjihMZgt/Og2mDaHu8ckOcerkHN16JXwCsonmibEDqL2AttwgykEkO8uSDb6Jr2hy6si1Xsm9xqRBsJAcREeRnOGCSBDhh8vwIXguNBgVZ873pG86fZuT8AbKM8XoDryPzbU6ve9JQK8DgRSGRUWQbeeIORe3K+6OFclQ06JD9V2BIUgQEUCDhAhVlyOu+tSm8lHPImQPRcNFI2G4aBQMF0vR02CRFAyXjIXVhpmw3DgLlpvnwGLTHFhsnA3bnYpw2PMt9VNgv2cdbMn56zrY/LoOd35dB51vZ+DkmP5QXzQGPkq/w1f5BHxunICP8ik8sTPCUwdTPCGnfev51NkCL8+eRpggHx0VyDR2atwAKMsw8PD3XWhu4HKh2bHyHZ7JpqbOp3ZTCyez7+eDKPL25tEnQCAFjA9jURF8X0xFFPsGwUSEAW15PriOGEwtgwl59+7SZSQ9e4CkJ6EgDsFzU+KQmxLf7sxLTUR1WQmqy0s/n2XdK7u89nOm2tge537lup2bKyuRfPIcHgsKUTtOa8GhuDB+MN0t1+PAJpR045uAm4wemqhTu0flKfz4EBPJzSc8xekzIJBS+GlcoLIIm7VTUfJRTs9L6WJ8HKE/bQgdlv35ByFGRBiZvx0D+lB9PcjgBo6JfwP3M8TGggefRS1MVL5+gw86Bqh5+hJv73nh2lxJKhK2/X4BChK+fFO0/Hfx0FwijavjGAgzU+elCbmO26dAqCxspSII144wmng5yHxoqiBN93MKVT6NTAsblNzjXarGS54krv0f+3BE5Bt4nN3DGxDYZBT/MADX5krhLJEDLB+P9Cftd69n80mnICJGJ1TCRcn+1Pyvr/bc7FMgkFolEVnERyoiztu+U0XZBRC62OHXtdQ7u922BV9Fns8qh8WBrTgk+D+q2MEK68mVSFL1vl+MsyP7Q3euBN66mKO54bONZ1dpE3O2cJtbuCrDgOY8Sbx/zr1T9K7SZfeuz4HQSkWcpStdm9Vy3fpgInT6A8MbdMtf08VSyIqNYlfuPguzOvQDDgn8D689bHotj7qqcngpn8I5aQaUxjIQ8MduVHUh7WRlTAyEr8oNoQvEcEttVnCfXPscCKTUNeVl0Pp2RqtGUzdURHZsFLSnDKXOpN+6W/dJpbtK1Orwdhzi/x8SQ7reQrerNNi9I3+3n+ZFnB7Tn+6D5XVsK6qKOO9pXVlSCOeTuygIrHetQE159/syscuX27CvAgRSmPiwu1QWoTeJD4kczNrK83Ng8/086nnU9eg2buvQa/HIZhe3dq7BEYH/IeFe7+xc17ZwRD0u7I4hzk8WoBSAw87lKEqJbRvl032AxgWcl+wP/eUTkdvHUkyS6VcDAsnMT70tFdHeRJvZwoTvpYNU+cN+82wQ2/+vfRC3Pnpbl7YC4W7fWSalRoZDe91MnJPsh1uLRiHex67dOigjJhLaCuNxWWoA3vg4fJVm+KpAqCjKg+aqaVAeOQAhl9t7DE8I9qaOIwzk+RHfh53QVauSLQLUVk3DH1L9kfYFen9dpd3xXUlOBkx2r8EZiX5QnzwEkXo3UH1DHdW7D+HWskm4KM2A8/EfudKB6Jj2lzx/VSCQArbKIvhgIC+AGNfbYDY0IOPNc9xSGEt9CDzUu/pVjUXbNlpxVhqUFkvj4gQ+ZHXjl7Dtd196T/Iz3bsBV8T74YUQP5WpENeCjwT5YCUjiJJE9tPGl+bX1XdfHQjEcJX4Tzo/uj/spw1H5arvUCQ/Dw5CDLj9tgFEePRnHUS5Q2nROLqPZSGHubu3y1ZbXYmH69ciWXQoysSF0Ez9GIiiQUIUdXe+zrRA6vTVgUAyLXz2FEZjBagJHVEJA7HbHyGCHIeeSSt72kmZMZE4O5EfGkvHoezD+54m1+X35IcoSomhPpkDNixAiAAftSsl7UAEbA0SQqg52/3OK11mwsPLPwUIOWbWVKpYKi5EBUlEqkgqnnPyJLWmbPkCdWwe6swxatrrZzg9ng+aS2VQltW7QCDs6rqKEqSG38VzE2UEHdsKizmi0JMeSH0s2oi2ejbJHS6IInEh5A0XQOmtr+ec/E8BwvvratSpJtEEKv8owydeRvWnCcJq7VT4n/oJb5zN8CEyAuUf0lBf0dnVC8fe7MGLuNBAHBD5BsZbFnLl2bS7rKpqalCSmYKsp/cReuU32K6cAMs5olRNX2MMA3fWT4fHqZ3wv3IUD6bPpWsD4suAGBqnKW5AY15ed1n02vs/BQj57p5UvPxWZAgyxARRMFwA4YJDoTljBM6O7k/JpmtSA+hushYrZOGycznuXTqIlxaayHn1uNcq3zGhmBA//Cb4P5htXUwVXjq+5/Y5Py4KUSaX4X5wE+4slwbx2UDc4BL1fJ0FUgjWOE9N5olklHXUpaUjU9sAqcdPI/uWOeq/IghIGf4UIDBraxGz/Rc8FBxMfQ4THz/pu/ahMucDCtKS8crbCS7n9sFg4zyozRsFpYmD8YfQN7gyoh90pwtRu0PP3zYgQvci0h/fRVl6Sju3tqzG5fVKgLB/2P9gt38zTwKnisxUxD0IQpSNPty2zcftBeLQk2LgpsQA6lTT9qflIJuSFGekoizvr+kJ7k8BAquDioOCkXHrFgr9OHsOL8p8j/eR4XjhfBtBWpdhumMZzo8ZgItSA0BGjWujBkBnuiDsty5EwOndeKRxDmkPfVH3BRuMxIQG4Ldh/4Pjoa2sInK81hTn47W1DoLP7IbNwhEwlhlE/3riRNNk9WT4Xj6EF85WyE/jfZ8Fjpn24Ys/FQhfUi9ioVSYnkqNcEPNtWC1ZwN0Vk2FsrwIlf2fFfoGGpMHUxG21So53Lu4D7FuVihMfEuNbxqqOGskP9S7gQNC/4PDnvWdilZdlI/8ty8QpvI7vDZOh/2K8dAfw6Bu/owXSlDP62R/zNyEt6goyu/x3ledCtDHAX87ILBrD+K1JCcpFlG+znhkpY/b+zZCZ9UUkD2pr3wcOW5IDYCpwlg47ViM+0rHEO9ti9zoJ5S1S/w/5x88CXspURwc1x+24wQBfTNkv32OVzZ6CFc5Aaf1U2AgPZDuQKc5jgHd+ZK4r3Eeb/2dkZ0U87fr+I7t+I8AQsdKEf2+yqIC6u7vpacd3C4dgu63M3BzvhRuTBHAGYFvqDhYb6YILL6dAu+5ctRrHHFFpz56ENU9bJGUgNeMkXS4VxPvD9P5ErD/cRnuaV9EcngIz/4HOpbxr/b8jwQCp0Yuyc5EevRzPLE3Q6DGRZhuX0YNeB2HMOhWxYSv0bqPkigIo+uuwDC4nNqJl06WIPsx/ZOPfxUQOnYk0bYmLu+jtmyjjikJKUtcCFaOEEapuADybqiigUttoo5p/92e/9VAYHVWafB9PBIUoWAgTilTySbm0xagLqHrndFY3/8Trv8BgfRiSwty79jhuex0vBgpgxiFNaiJ/XqSv78CkP4DQpteaGlqQkP+12Prtsn6T7/9Dwh/ehf8NQrwHxD+Gv3wp5fiPyD86V3w1yjA/wM4KQR6tvKxFAAAAABJRU5ErkJggg==[/img][br][i]El polígono azul es un cuadrado, aunque no lo parezca.[/i][br]Construye un cubo, Cubo (M,K,V) si M, K, V son 3 vértices consecutivos de un cuadrado.[br][br]Ahora vamos a girar el cubo alrededor del eje Z un ángulo de 72º ; 360/5=72, escribe[br][b]Rota(d, 72º,EjeZ) [/b] tal cual se ha escrito aquí, respetando mayusculas y minúsculas.[br]Para escribir el símbolo de grado º pulsar Alt-o. Si da problemas la escritura de ese símbolo escribe en su lugar [b]Rota(d, 2 pi/5, EjeZ). [/b][br]Ahora rotamos el mismo ángulo el nuevo cubo: rota(d', 72º, EjeZ) y así hasta que tengamos 5 cubos.[br]Oculta ahora el dodecaedro inicial, los ejes de coordenadas, la circunferencia, todo excepto los 5 cubos.[br]Asigna a cada cubo un color diferente , que contrasten unos colores con otros, y opacidad alta.[br]Anima la construcción del desde el play.

Información: 5. Poliedros inscritos en poliedros