Comments on: Inspired by mathematical theorems or open problems...
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems/
Comments on MetaFilter post Inspired by mathematical theorems or open problems...Tue, 08 Sep 2015 07:03:22 -0800Tue, 08 Sep 2015 07:03:22 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Inspired by mathematical theorems or open problems...
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems
<a href="http://erikdemaine.org/fonts/conveyer/?text=MetaFilter" title="don't overlook the 'Show Belt' checkbox">Conveyer Belt Font.</a> More <a href="http://erikdemaine.org/fonts/">mathematical and puzzle fonts/typefaces</a> you can play with in your browser. Read about them in the article <a href="http://arxiv.org/pdf/1404.1775v2.pdf">Fun with Fonts: Algorithmic Typography.</a> [PDF]post:www.metafilter.com,2015:site.152812Tue, 08 Sep 2015 06:40:06 -0800WolfdogartconveyerbeltdemainefontsgeometryglassjugglinglinkagesmathorigamitypographyBy: leahwrenn
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6197792
I think my favorite is the glass cane font. Some of the others, the connection between the letters and the font letters is significantly more tenuous. I didn't read the paper, though, to verify that all the canes are distinguishable from their displayed vertical cross-section.comment:www.metafilter.com,2015:site.152812-6197792Tue, 08 Sep 2015 07:03:22 -0800leahwrennBy: Wolfdog
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6197801
I think the one that raises my curiosity the most to explore more is the Origami Maze font.comment:www.metafilter.com,2015:site.152812-6197801Tue, 08 Sep 2015 07:13:19 -0800WolfdogBy: benito.strauss
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6198048
Boy does my eye want to draw lines through points rather than wrap belts around them.comment:www.metafilter.com,2015:site.152812-6198048Tue, 08 Sep 2015 09:41:53 -0800benito.straussBy: benito.strauss
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6198058
Oh man, the glass cane one is almost perfectly invertible. It turns a collection of N points into a graph of N sine waves. If we think in polar coordinates, the amplitudes of the waves are the radius of the original point, and the starting point along the waves (phase) give us the theta of the original point -- though it's more like the absolute value of the sine of the theta, so it's a four-to-one mapping.comment:www.metafilter.com,2015:site.152812-6198058Tue, 08 Sep 2015 09:51:34 -0800benito.straussBy: pmdboi
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6198074
<b>benito.strauss</b>: I wonder if you could recover the original letter by taking the <a href="https://en.wikipedia.org/wiki/Radon_transform">Radon transform</a> of the glass-cane figure.comment:www.metafilter.com,2015:site.152812-6198074Tue, 08 Sep 2015 09:59:35 -0800pmdboiBy: benito.strauss
http://www.metafilter.com/152812/Inspired-by-mathematical-theorems-or-open-problems#6198170
I don't know how you distinguish between the four different angles that all give the same |sin θ|. I'd really like to see the font-form for lower-case 'b' and 'd' -- I have a feeling that letters that are reflections of each other give awfully similar glass canes. Maybe if you were supplied exact details of the transform, like is the top or the bottom of the glass cane the initial state, and whether they were twisted CW or CCW.comment:www.metafilter.com,2015:site.152812-6198170Tue, 08 Sep 2015 10:53:56 -0800benito.strauss