This book aims to make the subject of geometry and its applications understandable to first year students majoring in architecture, design, or the liberal arts. It can also be used to teach students at different levels of computational ability, and there is sufficient novel material to interest students of mathematics or engineering keen in improving their visual understanding. While the book rigorously develops the subject of geometry, it also goes deeply into the applications of the subject and contains much introductory material of which the student may not be knowledgeable. The constructive approach, using compass and straightedge, engages students not just on an intellectual level, but also at a tactile level. This may be the only rigorous book on geometry that attempts to reach students outside of the discipline of mathematics. Key Features: ○ Engages the student in hands-on activities using compass, straightedge, and protractor. In talking about areas and vectors, geoboards are used. A giant fractal wallhanging is constructed using the iterative function system. Compass and straightedge is used to create wonderful patterns ○ There are many novel topics not covered in other books on geometry such as logarithmic spirals, Voronoi domains with application to pattern recognition, parallel lines with application to bracing a framework, fractals, kaleidocopes, an introduction to group theory ○ Projective geometry is introduced at a constructive level. The student is engaged in carrying out 13 fundamental constructions of projective geometry. By focusing on projective geometry, the properties of Euclidean geometry become more understandable — including the nature of infinity and the meaning of parallel lines

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