To Infinity and Beyond: A Cultural History of the Infinite

angle artist astronomer axioms Bruno calculus Cantor circle concept converge counting numbers curve decimal denumerable digit discovery distance earth entire equal equation Escher Heirs c/o Euclid's Euclidean example fact Figure finite formula fractions function galaxies Gauss geometric series Georg Cantor Greek harmonic series Heirs c/o Cordon infinite number infinite series infinite universe integers intersection inversion irrational numbers known limit logarithmic spiral M.C. Escher M.C. Escher Heirs mathematician mathematics mirrors Möbius strip motion natural numbers non-Euclidean geometry number line object original paradox parallel lines Parallel Postulate pattern permission physical plane point at infinity prime number projective geometry proof rational numbers real numbers reflection regarded regular polygons Reprinted result segment sequence set theory sides smaller space sphere square stars straight line subset surface symbol symmetry groups telescope tessellations theorem tion triangle words York zero