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Three sisters and their PJ’s

When I saw Grace, Sophie, and Chloe in their mismatched pajamas, a question immediately popped up:   if there are 3 sisters, and 3 pairs of pajamas, how many ways are there for them to wear the pajamas so that the top and bottom are mismatched?   The 3 pajamas will be referred to by…
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A prism of a bathroom sink

A trip to the ladies room of the Arclight Cinemas in the local mall revealed a somewhat unusually shaped sink. In case you’re wondering where the water drains, there’s a slit right along the back edge, shown by the blue arrow. But what happens if the drain backs up; how much water can a sink…
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Driving by the Embarcadero

Stuck at a traffic light, and, lo and behold, a DODECAHEDRON! A closer look reveals it’s standing on a platform made of pentagonal antiprisms stacked on top of one another. I later learned the sculpture is called SOMA and is a creation of the Flaming Lotus Girls. In the meantime, I made my own little…
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