Here are some images from Harpa, in Reykjavík, Iceland. Harpa is home to the Iceland Symphony Orchestra and the Icelandic Opera, and is one of the most mathematical buildings I have ever seen.
The face of the building is a solid wall of glass prisms whose faces are hexagons and pentagons.
Here’s a look up through the wall from below.
Different perspectives highlight the different polygons.
Whoever designed this beautiful building certainly knew the theory of pentagonal tilings!
Trying to get the timing right was a nice little diversion at the bottom of this beautiful crater lake.
A lovely arrangement from inside Hallgrímskirkja, in Reykjavik. Sunlight passing through the congruent window on the opposite side of the church creates what looks like a translation. I wonder if there’s a time of year when the images match up exactly?
A beautiful set of triangles, courtesy of the Halls of Gems and Minerals at the American Museum of Natural History.
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In most ways this is a sorrowful triangle, but on this day it was remarkably beautiful.
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