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Beauty, Form & Function: An Exploration of Symmetry

Nanyang Technological University via Coursera

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Overview

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CLOSING SYMMETRY TO NEW ENROLLMENTS FROM BEGINNING OF MAY 2016

Dear Students,

Over the past 9 months we have been trailing the feasibility of transferring the Session-Based version of this course to the new On-Demand platform.

Unfortunately, this has not proven to be workable. Aside from the course content being designed with the old platform in mind, a reliable distribution of assignments to peer-markers for evaluation is not possible. To overcome this, the course co-ordinators have been evaluating almost all assignments. This is not sustainable in the long term.

In addition, the full Symmetry course is university credit bearing and cannot be reliably implemented on the new platform. This is a major limitation for NTU.

For these reasons, we are phasing out the Symmetry MOOC, beginning with a freeze of enrolments from early May, and a total shutdown from around October.

We thank our students for your support and patience in accessing the course materials and waiting for assignment marking.

Tim White

Syllabus

Concepts in Symmetry I
Dear Students, Over the past 9 months we have been trailing the feasibility of transferring the Session-Based version of this course to the new On-Demand platform. Unfortunately, this has not proven to be workable. Aside from the course content being designed with the old platform in mind, a reliable distribution of assignments to peer-markers for evaluation is not possible. To overcome this, the course co-ordinators have been evaluating almost all assignments. This is not sustainable in the long term. In addition, the full Symmetry course is university credit bearing and cannot be reliably implemented on the new platform. This is a major limitation for NTU.For these reasons, we are phasing out the Symmetry MOOC, beginning with a freeze of enrolments from early May, and a total shutdown from around October. We thank our students for your support and patience in accessing the course materials and waiting for assignment marking. Tim White

Concepts in Symmetry II
At the end of this module, you should be able to: Define 'symmetrical' and recognize 'asymmetrical' objects, Identify the basic features of point symmetry and one-dimensional symmetry, Describe the beauty, form and function of point symmetry and one-dimensional symmetry, Explain the concept of tiling, Identify the unit cell and the asymmetric unit in repeating patterns, Count objects in unit cells and use the asymmetric unit to create a repeating tile, Locate symmetry operators in tessellations, and Differentiate chiral and achiral objects and explain the function of chirality.

Concepts in Symmetry III
At the end of this module, you should be able to: Define 'symmetrical' and recognize 'asymmetrical' objects, Identify the basic features of point symmetry and one-dimensional symmetry, Describe the beauty, form and function of point symmetry and one-dimensional symmetry, Explain the concept of tiling, Identify the unit cell and the asymmetric unit in repeating patterns, Count objects in unit cells and use the asymmetric unit to create a repeating tile, Locate symmetry operators in tessellations, and Differentiate chiral and achiral objects and explain the function of chirality.

Concepts in Symmetry IV
At the end of this module, you should be able to: Define 'symmetrical' and recognize 'asymmetrical' objects, Identify the basic features of point symmetry and one-dimensional symmetry, Describe the beauty, form and function of point symmetry and one-dimensional symmetry, Explain the concept of tiling, Identify the unit cell and the asymmetric unit in repeating patterns, Count objects in unit cells and use the asymmetric unit to create a repeating tile, Locate symmetry operators in tessellations, and Differentiate chiral and achiral objects and explain the function of chirality.

Plane and Space Symmetry I
At the end of this module, you should be able to: Describe 2-dimesional symmetry operations, Locate objects and symmetry operators in 17 plane groups, Know the difference between centered and primitive tiles, Recognise most common regular nets and the, Kagome semi-regular net, Identify net symmetry and derive their Schläfli symbol, See that tessellation can create polyhedra and label them according to the Schäfli notation, Recognise Platonic and Archimedean solids, Recognise the seven (7) lattice systems and fourteen (14) Bravais lattices, and Describe screw axes, axial glide planes, double glide planes, roto-reflection, roto-inversion and how they move objects.

Plane and Space Symmetry II
At the end of this module, you should be able to: Describe 2-dimesional symmetry operations, Locate objects and symmetry operators in 17 plane groups, Know the difference between centered and primitive tiles, Recognise most common regular nets and the, Kagome semi-regular net, Identify net symmetry and derive their Schläfli symbol, See that tessellation can create polyhedra and label them according to the Schäfli notation, Recognise Platonic and Archimedean solids, Recognise the seven (7) lattice systems and fourteen (14) Bravais lattices, and Describe screw axes, axial glide planes, double glide planes, roto-reflection, roto-inversion and how they move objects.

Plane and Space Symmetry III
At the end of this module, you should be able to: Describe 2-dimesional symmetry operations, Locate objects and symmetry operators in 17 plane groups, Know the difference between centered and primitive tiles, Recognise most common regular nets and the, Kagome semi-regular net, Identify net symmetry and derive their Schläfli symbol, See that tessellation can create polyhedra and label them according to the Schäfli notation, Recognise Platonic and Archimedean solids, Recognise the seven (7) lattice systems and fourteen (14) Bravais lattices, and Describe screw axes, axial glide planes, double glide planes, roto-reflection, roto-inversion and how they move objects.

Plane and Space Symmetry IV
At the end of this module, you should be able to: Describe 2-dimesional symmetry operations, Locate objects and symmetry operators in 17 plane groups, Know the difference between centered and primitive tiles, Recognise most common regular nets and the, Kagome semi-regular net, Identify net symmetry and derive their Schläfli symbol, See that tessellation can create polyhedra and label them according to the Schäfli notation, Recognise Platonic and Archimedean solids, Recognise the seven (7) lattice systems and fourteen (14) Bravais lattices, and Describe screw axes, axial glide planes, double glide planes, roto-reflection, roto-inversion and how they move objects.

Taught by

Tim White and Jiang Shuo

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