Question: Architecture applications..quadratic equations

Hi there! My name is Filippo, I'm a university student in Strategic Sciences in Turin, Italy.

I've recently started a course about Maple, how to use it, and now my task is to find examples in architectural buildings that are made using quadratic equations..I've found that the Beijin National Theatre is an Ellipsoid as well as the rugby ball...I've got troubles with model proportions,I mean which numbers should I put into my equation to get a nice Ellipsoid...this is what I've done (see pic).

Could you help me to find the right proportions for this model?

 

with(plots)

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

(1)

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Ellissoide reale

plots:-implicitplot3d(x^2/100^2+y^2/30^2+z^2/30^2 = 1, x = -100 .. 100, y = -65 .. 65, z = -65 .. 65)

 

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Download Applicazione_delle_quadriche_architetture.mw

Thank you so much!

Filippo

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