Math Is Fun Forum

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

4 dimensional complex graph

Rendering the sine function over the complex domain as a 4 dimensional graph rotating in 4 dimensions projected into 3 dimensions

Note how rather than having a cuboid around the graph showing the bounds like you'd usually have with a 3 dimensional graph, it has a hyper-cuboid around it.

I'm not sure if this is going to work or not, i have nowhere to upload a .zip file, so i've had to take the exe and convert it to a txt file to upload >.> So if it does work, you'll need to change the type of the file to a .exe

http://spamtheweb.com/ul/upload/030608/41728_comp4dexe.txt

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Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: 4 dimensional complex graph

This *may* be a cool idea.  Take the complex plane.  Now take a point, a+bi on it.  Graph sin(a+bi) + 2 on that plane, and draw a line from a+bi to sin(a+bi)+2.

A higher number than 2 might look better.  And if it's ugly on [-pi, pi] x [-pi, pi], I'd try smaller domains.

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: 4 dimensional complex graph

I'm not sure about that, but i've now made it render it as a stereo projection, which works awefully nice in fullscreen

If anyone cares to link me to somewhere i can upload the zipped .exe rather than converting it to a .txt for anyone wanting it, please do so, if not, anyone with msn may add me and request it if they like. (delta_luca'at'hotmail.com)

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The Beginning Of All Things To End.
The End Of All Things To Come.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: 4 dimensional complex graph

zip the exe into myFile.zip
Rename myFile.zip to myFile.zap
Upload.

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: 4 dimensional complex graph

the problem isn't that the host simply doesn't allow zip, but that it only allows certain file types of which zip is not one of them, so renaming to zap makes no difference from me changing it to a .txt which has the same nuisance associated with it

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The Beginning Of All Things To End.
The End Of All Things To Come.