The math-fun server does NOT transmit attachments [at least, not to me it doesn't!] WFL On 8/20/10, Robert Munafo <mrob27@gmail.com> wrote:
Here it is as a PDF file (1285 bytes, which is only 31% bigger :-)
On Fri, Aug 20, 2010 at 10:10, Mike Speciner <ms@alum.mit.edu> wrote:
Try this:
%!PS-Adobe-3.0 %%BoundingBox: 0 0 612 792 %%Orientagion: Portrait %%Pages: 1 %%EndComments %%Page: 1 1 %%BeginPageSetup %%EndPageSetup
<</PageSize [612 792]>> setpagedevice
0 setlinewidth 0 setlinecap 8.5 36 mul 11 36 mul translate 100 100 scale
/c1 5 sqrt 1 sub 4 div def /c2 5 sqrt 1 add 4 div def /s1 10 20 sqrt add sqrt 4 div def /s2 10 20 sqrt sub sqrt 4 div def /-c1 c1 neg def /-c2 c2 neg def /-s1 s1 neg def /-s2 s2 neg def
.8 setgray
/p2 {-1 0 moveto -c1 s1 lineto c2 s2 lineto c2 -s2 lineto -c1 -s1 lineto fill} bind readonly def
/2c2 c2 2 mul def gsave 2c2 neg 0 translate p2 0 setgray -c1 s1 moveto -c1 -s1 lineto stroke grestore gsave 2c2 -c1 mul 2c2 s1 mul translate p2 grestore gsave 2c2 c2 mul 2c2 s2 mul translate p2 grestore gsave 2c2 c2 mul 2c2 -s2 mul translate p2 grestore gsave 2c2 -c1 mul 2c2 -s1 mul translate p2 grestore
1 0 moveto c1 s1 lineto -c2 s2 lineto -c2 -s2 lineto c1 -s1 lineto fill 0 setgray c1 s1 moveto c1 -s1 lineto stroke
showpage
On Friday 20 August 2010 08:45:36 Bill Gosper wrote:
Apologies. I had tried superposing the segments with Windows Paint, which has a mode > where white <-> transparent. But for some bizarre reason, it enforced
opaque white on this image, [...] Feel free to repair it
with some sane software, and see if it still works for you. --rwg
On Thu, Aug 19, 2010 at 8:44 PM, Bill Thurston <wpt4@cornell.edu> wrote:
What is your experimental method, guys? I copied the image into Adobe Illustrator and used the measuring tool to check.
The leftward segment measured 4.05", and the rightward segment measured 4.17". A 3% difference. Theoretical equality != actual equality.
My experimental method was somewhat cruder: I held up a piece of paper next to one line on my screen, made two marks, then slid the paper over. Going back and forth a few times convinced me that it wasn't just pencil mark error.
--Joshua
-- Robert Munafo -- mrob.com
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