A ball of infinite volume. Paradoxes of measurement.
Instant download
after payment (24/7)
Wide range of formats
(for all gadgets)
Full book
(including for Apple and Android)
Is it possible to cut a ball into several parts so as to assemble from them two balls equal to the original one? Common sense suggests that it is not. However, in 1924, Stefan Banach and Alfred Tarski mathematically proved that a ball could be doubled simply by cutting it into eight pieces and then redistributing them. In this book we will look at this and other amazing problems and try to answer questions that arise when measuring volume, length or area. One of them is what are objects that have more than two but less than three dimensions?
FL/369097/R
Data sheet
- Name of the Author
- Густаво Пиньейро
- Language
- Russian
Products from this category:
Is it possible to cut a ball into several parts so as to assemble from them two balls equal to the original one? Common sense suggests that it is not. Howe...