Classical tessellations and three-manifolds
by Montesinos Amilibia, José María
fromUniversitext
"Mathematics is often seen as a collection of subjects, each learned one at a time. Although those fields rarely overlap, they are all subsumed under the heading of mathematics as they all rely on rigorous logical deductions from a set of axioms. But in fact, there are numerous …
"This book is an introduction to the topology of tiling spaces, with a target audience of graduate students who wish to learn about the interface of topology with aperiodic order. It isn't a comprehensive and cross-referenced tome about everything having to do with tilings, whic…
There is a long tradition of geometric questions requiring algebra for their answers. The oldest go back to the Greeks, such as "Can we construct a square with the same area as that of a given disk?" many of which were not resolved until mathematicians concluded that [lowercase …