Symmetry is everywhere. In the grand scheme of things it is the blueprint by which the universe operates. We see symmetry in nature, art, architecture, science and engineering. This course explores the Beauty, Form and Function of Symmetry in common objects, then progresses to investigate tiling and tessellation, with the extension of these concepts to the atomic structure of crystals.
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Beauty, Form & Function: An Exploration of Symmetry
Instructeurs : Tim White
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Il y a 8 modules dans ce cours
These lectures will refresh your intuitive appreciation of symmetry in common objects and introduce the mathematical and symbolic descriptors of point symmetry.
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7 vidéos8 lectures
Some of the most beautiful examples of symmetry appear in flowers. These lectures use flowers as exemplars of the application of point symmetry to concisely describe the presence of mirror lines and rotation points.
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6 vidéos
The key concepts in plane symmetry are illustrated by examining tessellations in architecture. The important concept of the asymmetric unit is also introduced. The practical importance of symmetry is illustrated through a discussion of chirality and its impact on drug design and efficacy.
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3 vidéos2 lectures
The formal mathematical nomenclature of point symmetry is introduced, including the relationship between symmetrically linked objects.
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3 vidéos1 devoir2 évaluations par les pairs
Plane Groups that describe symmetry operations in 2 dimensions are illustrated using the art of Escher. The 2D Bravais Lattices that capture all tiling permutations are covered together with the difference between ‘primitive’ and ‘centred’ unit cells.
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3 vidéos1 lecture
The 17 Plane Groups are formally introduced and their representation in the International Tables of Crystallography explained. By mastering the plane group diagrams and figures, all common tessellations can be deconstructed into their symmetric components.
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3 vidéos
These lectures examine the role of symmetry in Islamic architecture and history in the context of regular and irregular networks. The transition to 3D or Space Symmetry is via the five Platonic Solids. The 2D symmetry operators (rotation, reflection, glide) are expanded to include screw axes and axial glide in 3D symmetry.
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3 vidéos2 lectures
The 3D Bravais Lattices are the basis for describing the atomic relationships found in many crystalline materials. The way in which Space Symmetry determines not only the atomic locations but also the chemical composition of crystals is explained.
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4 vidéos1 devoir1 évaluation par les pairs
Instructeurs
Recommandé si vous êtes intéressé(e) par Electrical Engineering
American Museum of Natural History
Dartmouth College
The Hong Kong University of Science and Technology
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