Have you watched Dr Who and envied his Tardis? Did you lust after the suitcase of magical creatures carried by Newton Scamander in Fantastic Beasts and Where to Find Them? Wish no more for additional room. Hausdorff Space, Ltd. has levered the power of the Banach-Tarski Paradox to handle all your storage needs.
The Banach-Tarski paradox is a way to make rigid motions (so no crushing or morphing) to make one solid sphere into two solid spheres of the same size. Yes double the space.
Hausdorff spaces Ltd. technology uses the reverse operation to pack "two solid spheres" into the space of one! This operation can be iterated to pack any number of solid spheres into space of a single sphere. Unlimited Storage!
Hausdorff Space, Ltd, takes its name from the famous Mathematician Felix Hausdorff (1868 - 1942) who first constructed the gist of the Banach-Tarski paradox, the so called Hausdorff paradox, three disjoint subsets of the sphere \(A, B, \mbox{ and } C\) so that \(A, B, C \mbox{ and } B \cup C\) are congruent sets.
Hausdorff Space, Ltd. uses only the finest models of hyperbolic geometry in its construction of the Banach-Tarski storage system. It uses only Poincare Disks from the Klein Bottling Co.
The storage spheres are not included. The samples show the Archimedes
\(V = \frac{4}{3}\pi R^3; S = 4\pi R^2\) spheres from Eureka Unlimited.
Hausdorff Spaces, Ltd. receives financial compensation for advertising
EU spheres and this revenue is donated to the Florida State University's
Math Is Fun Fund.
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