I put the recent snow day, and a snowball maker, to good use!
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Appreciation Photography
Math Photo: Sky Squares
What catches my attention in this photo, after the blue and white squares, is how the beams slowly bend away from center. I suppose knowing the size of those beams, and some trigonometry, would allow you estimate the location of the camera.
Application Appreciation Geometry Photography
Ceilings of Curvature
On a visit to the Lowline, I noticed an interesting application of mathematics above us.
The ceiling is a tiling of hexagons and equilateral triangles. But unlike a typical tiling of a flat bathroom floor, this tiling seems to create a curved surface! Here’s a closer look:
The underlying pattern is hexagonal, but when a hexagon is replaced with six small, hinged equilateral triangles, the surface gains the potential to curve.
It’s interesting to follow the “straight” line paths as they curve over the surface. And since this tiling is suspended from above, it’s interesting to think about what the surface would look like if it were lying on the ground. How “flat” would it be? Or a better question might be “How far from flat is it?”
Geometry Photography
Math Photo: Right but Obtuse
I love the geometry of this tower crane as it swings around, creating obtuse projections of its perpendicularity. I wonder how accurately I could estimate my altitude from this picture?
Appreciation Geometry Photography
Math Photo: A Dodecagon of Octagons
I’d never looked closely at the Parachute Jump in Coney Island, but recently noticed the octagons at each vertex of the dodecagon 250 feet up in the sky. It really is a beautiful structure, but I’ll leave it up to you to decide whether or not it deserves to be called “the Eiffel Tower of Brooklyn”.
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