Act 15. Cilindro e hiperboloide de una hoja como superficies regladas

[justify]Una circunferencia de radio r sobre el plano XY, centrada en el origen se parametriza en la forma:[br][b]Curva(r cos(t), r sen(t),0, t, 0, 2π)[/b]. [br]Si la circunferencia está en el plano z=h su expresión es [b]Curva(r cos(t), r sen(t), h, t, 0, 2π)[/b], siendo r el valor que queramos darle al radio.[/justify][justify]La superficie reglada entre ambas, cilindro, se construye mediante la expresión: [br][b]Superficie(a(t)k +b(t)(1-k), k,0,1, t,0,2π)[/b] siendo a y b las circunferencias.[/justify]
[justify]Si rotamos la circunferencia a  un ángulo αalrededor del Eje Z, obteniendo [b]a' = Rota(a, α, EjeZ)[/b] al sustituir a' por a en la instrucción de superficie anterior, la superficie que se obtiene es un hiperboloide de una hoja, construido como superficie reglada. [br]Si el ángulo de rotación es 180º se obtiene un doble cono. Si defines el ángulo como deslizador puedes comprobar todas las posibilidades.[/justify][img]data:image/png;base64,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[/img][br]Si las circunferencias tienen distinto radio, obtenemos un tronco de cono en el primer caso, un hiperboloide asimétrico en el segundo y dos conos diferentes en el tercer caso al realizar un giro de una de[br]las circunferencias.[br][img]data:image/png;base64,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[/img][br][br][br][justify]Resulta sencillo seguir generalizando esta construcción, basta trasladar horizontalmente una de las circunferencias o ambas para obtener cilindro, hiperboloide y conos oblicuos.[/justify][justify]Si sustituimos las circunferencias por elipses, obtendríamos un cilindro elíptico en el primer caso, hiperboloide elíptico en el segundo, y cono elíptico en el tercero. [/justify]

Information: Act 15. Cilindro e hiperboloide de una hoja como superficies regladas