This text follows the adventures of Victoria Line, the great-great granddaughter of A. Square, the hero of Flatland. Through Victoria's travels we meet various characters and encounter different mathematical problems. This book provides an accessible guide to mathematics and our understanding of the shape and origins of the Universe, the nature of space, time and matter and the variety of geometries found in modern mathematics - non-elucidean, projective, topology, finite and many more. The Space Hopper that Victoria meets can hop from one mathematical space to another, and why are the Paradox Twins are never the same age?