Overview

Desargues's Shadow Theorem demonstrates in two-dimensions the beautiful spatial relationship between the corners and side-lengths of a geometric shape such as a triangle, with its shadow. Desargues's theorem applies to any shape and shadow viewed from any perspective. The theorem tends to read like a riddle: The lines joining the three vertices of the original triangle and its shadow meet at a point, whilst the extensions of the three side-lengths of the triangle and its shadow will meet on a line. While this description applies to triangles, it has profound and poetic implications and can be used as a cosmic lens through which to observe the patterns of the world. All the Projective Geometry Drawings for this calendar are variations on Desargues's Shadow Theorem. The different manifestations are created from new relationships between the Sun, or Entry Point, and the Horizon Line, or Threshold. Humans and Animals have a divine bilateral symmetry across the spine, giving them freedom of movement and choice. Plants have a heaven-centred rotational symmetry allowing them to spiral upward. Crystals have a unique parallelism within their cosmic and threshold forces creating translational symmetry.

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9781915416063

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Sophia Montefiore is an artist, author, illustrator, geometer, dedicated Waldorf teacher and teacher educator. Sophia has presented workshops on education, art and geometry for Waldorf teachers and Homeschool groups internationally. She has created murals for schools in Australia, Egypt and India, and conducted workshops on Projective Geometry for Waldorf Schools and Teachers, Christian Communities, and Anthroposophical Societies in Australia, England, India, Egypt, Malaysia, Taiwan, Switzerland, and online for South Korea, Mexico, U.S. and Canada. She is based in Australia and is currently the Senior School Coordinator at the Newcastle Waldorf School, where she teaches a range of subjects including Philosophy and Mathematics, and a tutor for Sydney Rudolf Steiner College. Sophia's books, journal articles and calendar contributions include, The Rime of the Ancient Mariner, Wynstones Press. You can see more of her work at http: //www.sophia-art.site

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