# Generation of elliptical geometry

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 February 2, 2000, 14:40 Generation of elliptical geometry #1 Glenn Price Guest   Posts: n/a Sponsored Links Is there a simple way to generate an elliptical geometry in GAMBIT. The only way I can think of is to generate it in pieces and join them together. Is there a more elegant approach?

 February 2, 2000, 15:37 Re: Generation of elliptical geometry #2 Paal Chr. Guest   Posts: n/a What do you mean with elliptical geometry? An elliptic cylinder can be made by "create real cylinder" with different r1 & r2. An elliptic cone can be made by "create real frustum" with r1 = 0 and the appropriate r2 & r3's. An elliptic paraboloid can be made by first making a "real elliptical arc" with an angle of 90 degrees, and then revolve this edge to a face. I hope I have understood you correct. PC.

 February 2, 2000, 17:35 Re: Generation of elliptical geometry #3 Glenn Price Guest   Posts: n/a Sorry, I should have been more specific. I mean an ellipsoid, x^2/a^2 + y^2/2 + z^2/2 == 1

 February 3, 2000, 04:07 Re: Generation of elliptical geometry #4 Paal Chr. Guest   Posts: n/a With this equation you actually have an ellipsoid of revolution around the x-axis. Then you can simplify your problem to the problem of revolving the ellipse given by x^2/a^2 + y^2/2 = 1. From this equation you find three points, for instant for maximum x, minimum x and maximum y for the chosen a. From these three points you can easily construct an elliptic arc. By revolving this arc 360 degrees around the x-axis you have obtained your ellipsoid. Regards PC.

 February 3, 2000, 10:19 Re: Generation of elliptical geometry #5 Kai Kang Guest   Posts: n/a Another way is to create a centered sphere with radius 1, and scale it in x, y, z direction to get the elliptical geometry

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