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How do you create a cut on a 3D Rotating Ellipse?

chiarageogebra shared this question 2 years ago

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I am trying to create 3D rotated ellipse with a vertical cut, as in the file "Ellipse Image".

In the .ggb file you can see the 3D ellipse and two lines.

I'd like to remove the surface on the ellipse given by the space between the two lines that intersect it.

Could anyone please suggest how this could be done with GeoGebra?

Files: 3D parametrica... Ellipse image.jpg

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Best Answer

UseMath ● 2 years ago

Ok the file is on GeogebraTube

here

https://www.geogebra.org/m/jdhyqznu

Comments (10)

Michael Borcherds ● 2 years ago

That's possible with https://wiki.geogebra.org/e... I think

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mathmagic ● 2 years ago

you can try download and adapt this( it is very hard online )

https://www.geogebra.org/m/...

puedo explicar cómo está hecho en español

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chiarageogebra ● 2 years ago

Thank you!

Se puede acer lo mismo però con la superficie lisa como la de la imagen "Ellipse Image"?

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mathmagic ● 2 years ago

Fácilmente cambiando la definición de rho

https://www.geogebra.org/m/...

si lo que quieres es una pared fina pon en rho_0 lo mismo que en rho_1 menos una pequeña cantidad o sea rho_0 debe ser rho_1-0.2 por ejemplo

mira los otros gráficos en polares por ejemplo anima este después de descargarlo

https://www.geogebra.org/m/...

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UseMath ● 2 years ago

Do you want something like that? See the picture

You must use parametrics curves for the ellipses with limits of the planes ,take the angle into account and connect the two curves with a surface.

See you later

Files: Image1.jpg

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chiarageogebra ● 2 years ago

Hi.

That's exactly what I am trying to do, thank you!

Could you please send me the file or a screenshot that shows the equations fully, so that I can understand better how to do it?

thanks again

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UseMath ● 2 years ago

Ok the file is on GeogebraTube

here

https://www.geogebra.org/m/jdhyqznu

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chiarageogebra ● 2 years ago

Thank you. Looking at it, the issue is that when you rotate increasing the angle, the position of the opening changes. My aim is to make it stay in the same position. So having a vertical opening on a 3D ellipse that has been rotated. Is it possible create the surface to be eliminated after the rotation, so it stays vertical?

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chiarageogebra ● 2 years ago

Also, what is the command you used to create surface "e"?

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Simona Riva ● 2 years ago

Fai clic con il tasto destro del mouse su ogni oggetto presente nella costruzione per vedere il relativo comando.

e=Superficie(v a(t + g) + (1 - v) b'(t + d), v, 0, 1, t, d, f π)

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