I’ve read that there are over 500,000 manhole covers in New York City, but I’d never noticed these pentagonal bolts before. A nice mathematical surprise among the grit and grime.
Appreciation Geometry Photography
Math Photo: Between the Octagons
Sometimes the sun and surroundings cooperate and create an opportunity for a perfect profile picture.
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Photography
Math Photo: City Grid
This view of the city through this rectangular netting puts me in mind of projecting three-dimensional space onto a two-dimensional coordinate system. The rectangular grid seems a bit oblique, relative to the buildings, which makes me wonder what angle I’d have to look through in order for make everything to line up straight.
Art Geometry Photography
Math Photo: Obtuse Art
I really like the shape of this midtown-Manhattan sculpture. Whenever attempts are made to define or quantify beauty, symmetry is one of the first considerations. But this obtuse,scalene triangle is decidedly unsymmetric.
Maybe its lack of symmetry makes it more noticeable as a piece of public art.
Photography
Math Photo: Change of Coordinates
Shining through the rectangular grid of chain links, the sun creates a second, compressed coordinate system in shadow. This reminds me of changing coordinate systems, as in linear algebra or a u-du substitution .
Often, a new coordinate system can provide a cleaner environment for solving a problem. And as long as we understand the transformation that got us there, we can usually take our solution back with us when we return.