Category Archives: sciences

unapologetically one-sided

Posted on Saturday, 2014 June 07 by Anton

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) )

Posted in mathematics, merch | 2 Comments

naming is hard

Posted on Saturday, 2014 May 10 by Anton

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

Posted on Tuesday, 2014 April 01 by Anton

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 →

Posted in curve-fitting | 2 Comments

models of the 35 smallest fullerenes

Posted on Monday, 2014 February 24 by Anton

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

Posted on Saturday, 2014 February 01 by Anton

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 →

Posted in mathematics, neep-neep | Leave a comment

some thoughts about packing

Posted on Monday, 2014 January 27 by Anton

My bundle of 19 fullerenes is arranged in a face-centred cubic lattice, each ball occupying one of the 24 even-numbered cells of a 4×4×3 array (and parts of the adjacent cells). The spacing of the grid planes is determined by … Continue reading →

Posted in mathematics | 3 Comments

small irregular fullerenes

Posted on Friday, 2014 January 24 by Anton

Shapeways has thirteen models of (the most symmetrical and famous form of) C60, but none of the thousands of smaller fullerenes. So I designed models of the 35 smallest, i.e. up to C36; this includes the smallest with no symmetries, … Continue reading →

Posted in merch, sciences | 1 Comment