Geometry of Möbius Transformations

Weekend Project: "Geometric Solids" (Feb 3rd–Feb 16th)

 

I came across this rather shiny object while I was walking through the Seattle–Tacoma International Airport

 

I love shiny. Really, who doesn't?

 

And look at all those interesting swirls of reflected lighting? Who doesn't love interesting swirls?

 

Then I started thinking about the geometry of this thing. Surely some mathematician could easily explain this, this, this... glorious hypercomplex plane of a shiny thing.

 

Pantopol - 1972 - Ted Jonsson

 

 

The term "pantopol" is a combination of the Greek word "pan" meaning "all" and the word "topo(logy)" meaning "mathematical study of surfaces."

 

 

 

Done