Sanjoy Mahajan wrote:
>> ok, i fixed it; was a bug in the rline to handler in concat mode
>>
>
> Great, thanks for that.
>
>
>> btw, your graphic contains 90% junk ps (covered by successive
>> draws), maybe some picture magic without picture resets
>>
>
> Indeed, I was surprised by the length of the mps file. Oh, it just
> hit me the reason for all the junk ps. It is my 'thinko', so thanks
> for pointing me to the problem.
>
> I meant to draw the rotated picture of one triangle six times.
> Instead I rotated the currentpicture and drew it on the
> currentpicture, so I ended up with 2^6 triangles -- with most of the
> code overlapping. It looked right so I didn't think about it enough.
>
> What I had:
>
> currentpicture := currentpicture shifted (-z1) scaled 0.7;
> for i = 1 upto 6:
> % this line causes the doubling each time
> draw currentpicture rotated (60*i);
> endfor
>
> Instead, what I should do to avoid the overlapping:
>
> currentpicture := currentpicture shifted (-z1) scaled 0.7;
> tpic := currentpicture
> for i = 1 upto 5: % i=6 redraws the original one
> draw tpic rotated (60*i);
> endfor
>
> For those curious about the math behind the picture: The picture
> solves the problem of "how do you bisect an equilateral triangle [into
> two equal areas] using the shortest path?"
> <web.mit.edu/18.098/notes/picture-proofs.pdf> has the details in
> section 4.5.
>
or something
picture p ; p := image(
draw like usual
) ;
for ... draw p rotated ... ..
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Hans Hagen | PRAGMA ADE
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