Category Archives: sciences

elusive avoidance

I’ve been designing printable models of the Lawson-Klein surface w = cos(u) cos(2v) x = cos(u) sin(2v) y = sin(u) cos(v) z = sin(u) sin(v) As you can plainly see, this figure lives in S3 (positively curved 3-space), so stereographic … Continue reading

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hidden dragon

For years I’ve occasionally had a mysterious itch at my lowest left rib, nothing showing on the skin. Now it has spread rightward at the same altitude, making me think: could this be mild shingles?

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unapologetically one-sided

My newest design on Shapeways is a model of the Lawson-Klein surface : a stereographic projection of ( cos(u)cos(2v), cos(u)sin(2v), sin(u)cos(v), sin(u)sin(v) )

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naming is hard

I often have trouble giving meaningful concise names to variables in the programs I write, perhaps because, until I reach for the keyboard, my thinking is largely nonverbal. I suspect that it would be less of a problem for someone … Continue reading

Posted in curve-fitting, neep-neep | 4 Comments

relax

This curve-fitting thingy is one of several projects on which I’ve made progress in rare fits over several years. It ran into two big snags. I haven’t found how to determine which gridpoints are within the pen-width of a blending … Continue reading

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models of the 35 smallest fullerenes

I noticed that Shapeways had 13 models of the roundest of the fullerenes (one of the 1812 forms of C60), but none of the less regular forms; so I made some. Each of the white pieces has mirror symmetry; the … Continue reading

Posted in merch, sciences | 4 Comments

FCC cube generator

I could have used this a week ago. def fccstack(): newlimit = 0 while True: oldlimit = newlimit newlimit += 1 # extend z for x in xrange(oldlimit): for y in xrange((x+oldlimit)&1, oldlimit, 2): yield (x,y,oldlimit) # extend y for … Continue reading

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