October 26, 2012 by phicks2012
After taking this photo, along with a number of others in an attempt at photographic creativity — and after checking out the results — it occurred to me that from this angle my staircase looked almost like some sort of Möbius strip.
According to Wikipedia at http://en.wikipedia.org/wiki/M%C3%B6bius_strip a Möbius strip is is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.
In any case, mathematics aside, I thought it might be interesting to share this odd perspective with the world. The picture was taken in the basement foyer, looking up toward the attic where the actual staircase eventually ends after climbing three full flights. It looks less mathematical and more architectural from more conventional angles, especially when decorated for Christmas, but this is what happens when you don’t sheet-rock a stairwell, and that’s a decision I’ve always been glad I made!