the.com/banach
the mathematician who proved you can take a ball apart and reassemble it into two balls the same size.
means stefan banach was a polish mathematician who founded functional analysis, giving math the tools to treat entire spaces of functions like points in space.
from born 1892 in kraków, banach did math in cafés, most famously the scottish café in lwów, where he and colleagues scrawled problems in a notebook the waitstaff kept behind the bar — later published as the scottish book.
banach-tarskia sphere split, reassembled into two identical spheres.
banach spacescomplete normed vector spaces, named after him.
no degree firstnever finished a formal exam before his phd.
café mathematicssolved problems over coffee, wrote on tablecloths.