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Experiments In Topology

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Experiments in Topology

Experiments in Topology

Edward Barr’s 1972 book Experiments in Topology was written as an introduction for novices to this branch of mathematics. Through inciteful analogies, clear diagrams, and thoughtful exercises, the author walks the reader through complex theories to gain a deeper understanding of topology. The book was written at the same time as the development of 3D modeling software which would revolutionize the way we draw, design and think about architecture. Revisiting this text afforded an opportunity to explore more fully what this form of geometry has to offer. The structure of the book presented a methodology for developing a concise understanding of the terms while researching the potential formal and spatial aspects of the concepts presented. Simple paper models provided the means to explore the possibilities offered by complex 3-D forms such as Mobius strips, Klein bottles, projective planes, and cross caps. Physical analog models were chosen over their digital counterpart to gain deeper understanding of the geometries and learn from the logic of materials. New possibilities emerged from the study that could not have been anticipated through novel combinations of these unique shapes.