This book presents the author's work in exploring the rich field of scale-symmetric and fractal geometry. It ties together the many examples of new and beautiful geometric structures with novel classification systems in order to clarify and map out this relatively uncharted space. The reader would be inspired to explore this space themselves, and gain a better understanding of this landscape of scale-symmetric geometry. The book demonstrates the power of the hobbyist and online community-based exploration in discovering these mathematical worlds, and the power of play and mathematical beauty in driving new innovations, in contrast to traditional academic pathways. This will be a very visual book, with many images to help the reader to understand the underlying structures. Every example is new and developed by the author, and is chosen because it pushes the field of scale-symmetric geometry into a scarcely explored region. The book combines fairly advanced mathematical concepts (such as conformal transforms, and negative dimensions) with beautiful imagery and a narrative that appeals to an educated general audience. It therefore is important to engage general audiences with more advanced mathematical ideas to spark an interest and help make this area of mathematics more popular and well understood. It does not dictate a set of rules or axioms, but instead, encourages the reader to explore and provides them tools and ideas to do so.

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