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Tubos alrededor de nodos toroidales

El laboratorio virtual genera la gráfica de la superficie consistente en un tubo de radio r alrededor de un nodo toroidal, curva parametrizada por x(t) = (a+b*cos(q*t))*cos(p*t) y(t) = (a+b*cos(q*t))*sen(p*t) z(t) = c*sin(q*t) La ecuación paramétrica del tubo es: X(t,s) = x(t)+r*(cos(s)*N1+sen(s)*B1) Y(t,s) = y(t)+r*(cos(s)*N2+sen(s)*B2) Z(t,s) = z(t)+r*(cos(s)*N3+sen(s)*B3) donde N = (N1,N2,N3) y B = (B1,B2,B3) son los vectores normal unitario y binormal unitario a la curva t->(x(t),y(t),z(t)). t y s varian en el intervalo [0,2*pi].

Keywords:: Nodo toroidal, Tubo alrededor de una curva

Disciplines:

Mathematics and Statistics / Mathematics / Applied Mathematics

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Material Type:: Simulation
Date Added to MERLOT:: October 2, 2019
Date Modified in MERLOT:: October 2, 2019
Author:: Fernando Gimenez Palomares, Universitat Politècnica de València
Submitter:: RIUNET Universitat Politècnica de València
Primary Audience:: High School, College General Ed, College Lower Division, College Upper Division, Graduate School
Technical Format:: Flash, Java Applet, Website

Mobile Compatibility:: Blackberry, iOS (Apple), Windows Mobile, Android
Language:: Spanish
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 4.0 International