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Vertex list of a surface not readily accessible

asked 2020-05-28 08:58:33 -0500

Juanjo gravatar image

While preparing my answer to this question, I have been searching how to retrieve faces and vertices from a explicit surface plotted with plot3d. There is a fact that confuses me. Consider this code:

sage: surf = plot3d(lambda x,y: sin(x*y), (-pi,pi), (-pi,pi))
sage: len(surf.vertex_list())
0

This means that surf.vertex_list() is an empty list. However:

sage: surf = plot3d(lambda x,y: sin(x*y), (-pi,pi), (-pi,pi))
sage: show(surf)
Launched html viewer for Graphics3d Object
sage: len(surf.vertex_list())
1600

Now surf.vertex_list() is not an empty list and the vertices can be retrieved. So I wonder what show(surf) internally does so that the vertices list becomes accessible. To avoid plotting the surface, I have found that I can replace show(surf) by surf.triangulate(), but I also wonder if there is a best option.

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answered 2020-05-28 13:53:27 -0500

FrédéricC gravatar image

The ".triangulate" method does the real job of creating the triangulation. Before it is called, there is no vertex and no triangle.

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So show calls the .triangulate method while rendering the surface. I have not been able to track down how that happens exactly. Anyway, I see that the code in the other question is essentially correct. @FrédéricC, many thanks for your comment.

Juanjo gravatar imageJuanjo ( 2020-05-28 15:16:00 -0500 )edit

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Asked: 2020-05-28 08:58:33 -0500

Seen: 38 times

Last updated: May 28