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bio website math.sunysb.edu/~sdalton
location Stony Brook, NY
age 29
visits member for 1 year, 4 months
seen 16 hours ago
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Grad Student!

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Apr
23
awarded  Notable Question
Apr
9
accepted How to draw a higher-genus surface
Mar
8
comment How to draw a higher-genus surface
Oh wow, the answers on this thread are incredible!
Mar
8
comment How to draw a higher-genus surface
Oh, I wish I could upvote again for the smooth version!
Mar
8
comment How to draw a higher-genus surface
How hard would it be to generalize to higher genus?
Mar
8
comment How to draw a higher-genus surface
This is a quick, nice way to do it. But the "joins" aren't very smooth. :)
Mar
8
comment How to draw a higher-genus surface
I find this slightly ugly; it is not the usual, voluptuous double-torus I know and love. :)
Mar
8
comment How to draw a higher-genus surface
Oh this is pretty!
Mar
8
accepted Showing a rectangular plot on an almost-closed sphere
Mar
8
asked How to draw a higher-genus surface
Feb
27
comment Showing a rectangular plot on an almost-closed sphere
This is great! When I have some time later, I will try it out, making a few slight adjustments (I'd like to watch that visualization from the bottom of the sphere). But thanks again!
Feb
27
comment Showing a rectangular plot on an almost-closed sphere
I mean the stereographic projection of the entire plot, where the points very far away go to the boundary component of this incomplete sphere.So the rectangular axes are projected onto the sphere, along with the plot, along with any gridlines, etc.
Feb
27
comment Showing a rectangular plot on an almost-closed sphere
Great approach! But as I mentioned in a comment above (and now an edit to the question), I want the entire plot (graph, axes, tick marks, etc.) to be on the sphere.
Feb
27
revised Showing a rectangular plot on an almost-closed sphere
added 171 characters in body
Feb
27
comment Showing a rectangular plot on an almost-closed sphere
This is a great answer, but it is lacking one thing, that might not have been clear from my question: I want the actual axes and everything to be on the surface of the sphere. That is why I added that picture, and why I hinted at using texture.
Feb
27
revised Showing a rectangular plot on an almost-closed sphere
added 379 characters in body
Feb
26
comment Showing a rectangular plot on an almost-closed sphere
@SimonWoods: I have not gotten a successful result yet; I have only been able to get something "not too bad", using TextureCoordinateFunction -> ({#5,1-#4} &).
Feb
26
revised Showing a rectangular plot on an almost-closed sphere
added 155 characters in body
Feb
26
comment Showing a rectangular plot on an almost-closed sphere
You can imagine the rectangular plot being stretched over this sphere, so that the boundary is basically infinity in rectangular coordinates. (I don't know if RegionFunction is the right approach, but it is what has worked for me so far.)
Feb
26
comment Showing a rectangular plot on an almost-closed sphere
@belisarius: Here is some sample code: SphericalPlot3D[1, {theta, 0, Pi}, {phi, 0, 3 Pi}, RegionFunction -> (#1 < .8 &), Mesh -> None, Boxed -> False, Axes -> False]