I love the way the struts of this structure come together and align with the geometry of the city.
Appreciation Geometry Photography
Math Photo: Surprising Heptagon
It took several hundred encounters with this park bench before I realized it was a heptagon! I don’t see many regular, seven-sided figures in my experience, which made this a surprising discovery. I wonder what prompted this design choice.
Like most real-world instances of perfect geometric objects, it doesn’t exactly measure up. But what’s a few degrees between n-gons?
Geometry Photography
Math Photo: Curvilinear Coordinates
Looking through this system of parallel curves makes me think about the many different ways we can impose coordinate systems on spaces. An ordered pair of coordinates specifies a unique location on this curved surface just as a pair 
This image also reminds me of the role of context in geometry. From our perspective, this coordinate system looks curved, but if we lived on this surface, it would all seem perfectly flat! Maybe our world looks really curved to someone standing outside it.
Geometry Photography
Math Photo: Riemann Shadows
The shadows fall like approximating rectangles under a sine curve. This brings to mind a basic approach in computing the area of curved regions: approximating the curved region with a series of flat regions, whose areas are easy to compute.
The angle of the sun makes the shadows more like approximating parallelograms, though. So we’d probably need a change-of-coordinates to complete our calculation!
Photography
Top Math Photos of 2014
Here are the most popular Math Photos from MrHonner.com for 2014. Click here to see more.
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| Escalating Ellipses | Undersea Rose Curve | Solids of Revolution |
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| Ten Pi Radians | Manhole Math Art | Non-Fibonacci Flooring |