The author of many popular science books, astronomer and musician David Darling and the unusually gifted young mathematician Agnijo Banerjee, who at the age of thirteen scored the maximum possible number of points in the IQ test of the Mensa Society of Intellectuals, present a fresh look at the world of mathematics. Together they fearlessly undertake to explain the strangest, most exotic and amazing problems of mathematics of our time. The range of topics discussed is wide: from higher dimensions, chaos, infinity and paradoxes to unimaginably huge numbers, music, complex games. And most importantly - all this turns out to be inextricably linked with our daily life. An excellent book for everyone who is interested in science, because mathematics is "the basis of the physical world around us, its invisible infrastructure."