Geometry, of all the branches of mathematics, is the one that is most
easily visualized by making something. However, it is all too easy to
reduce it to reams of formulas to memorize and proofs to replicate. This
book aims to take geometry back to its practical roots with 3D printed
models and puzzles as well as demonstrations with household objects like
flashlights and paper towel tubes.
This is not a traditional geometry textbook, but rather builds up
understanding of geometry concepts while also bringing in elements of
concepts normally learned much later. Some of the models are
counterintuitive, and figuring out how and why they work will both
entertain and give insights. Two final chapters suggesting open-ended
projects in astronomy and physics, and art and architecture, allow for
deeper understanding and integration of the learning in the rest of the
book.