link 来源
list 8个序列
assignment 等级:入门
chat_bubble_outline 语言:英语
card_giftcard 256分
Logo My Mooc Business




credit_card 免费进入
verified_user 免费证书
timer 32小时总数


[IF YOU ARE LOOKING FOR THE NO-CREDIT ON-DEMAND VERSION OF THIS COURSE PLEASE GO TO]. Learn how to identify symmetrical forms and appreciate their importance in nature, art, architecture, crystallography and technology. Understand symmetry quantitatively, recognize its role in beauty and design, and appreciate its function in our everyday life. The level of difficulty is intermediate-to-hard with a workload is 7-10 hrs/week. This MOOC is for credit, and students who obtain a Verified Certificate by submitting and authenticating at least 8 out of the 9 assignments with an overall mark of more than 60%, earn 3 Academic Units (AU) that can be directed towards either an Unrestricted Elective (UE) or General Elective (GE-STS) subject at NTU. The usual NTU examination procedure requires student identification through webcam plus keystroke patterning for each assignment submission with a no-tolerance policy towards cheating ( and Students who are found to cheat, tamper with or falsify grades, or collude on assignments will be denied credits. It is not necessary to be enrolled at NTU to be awarded 3 AU and once received the AU remain valid 3 years. Because this is a for-credit course students must join the Signature Track stream within the first 2 week add-drop period (up to 22 January 2016, 2359 hrs) in accordance with NTU rules.

more_horiz 查看更多
more_horiz 收起


The course content is released in two week blocks and consists of approximately 1 hr of lectures and tutorials per week. There are specific windows for uploading homework and undertaking peer-to-peer marking. These are detailed in the downloadable course timetable.

Part I: Basic Concepts of Symmetry

  • Week 1: ‘A World of Symmetry’ will refresh your intuitive appreciation of symmetry in furniture, botany and common objects and introduce the mathematics of point symmetry.

  • Week 2: ‘Tiling and the Asymmetric Unit’ begins by examining tessellations in architecture that will illustrate key concepts in plane symmetry including the asymmetric unit.  ‘Chirality’ discusses this key concept in symmetry and its impact on drug design and delivery.

Part II: Plane (2D) and Space (3D) Symmetry

  • Week 3: ‘Escher and Graphic Design’ introduces symmetry operations in 2 dimensions and the difference between ‘primitive’ and ‘centered’ unit cells are illustrated using the art of Escher. ‘Nets’ examines the role of symmetry in Islamic architecture and history in the context of regular networks.

  • Week 4: ‘Space Symmetry’ expands the symmetry operations to include 3 dimensional motion.  The methodology for reading and using the symmetry diagrams of the 17 plane groups and 230 space groups is introduced.

Part III: Symmetry in Crystals

  • Week 5: ‘Crystal Forms and the Beauty of Minerals’ looks the external shape of mineral crystals and we learn about crystal power by visiting a geomancer. The manner in which crystal faceting reflects the internal atomic arrangements is described. ‘Planes, Directions and Unit Cell’ introduces the mathematics for describing perfect crystal structures.

  • Week 6: ‘Platonic Solids and Atomic Bonding’ shows that regular geometrical shapes can be derived from folding plane nets into polyhedra that often describe atomic clustering and also the appearance of defects or asymmetry that are important aesthetically and technologically.  A laboratory tour will show the experiments used to extract crystallographic information.

Part IV: Symmetry and Technology

  • Week 7: ‘Tailoring Crystals for Technology’ brings together chemistry and crystallography, shows how they are inter-related, and how they are adapted to engineer designer technological materials.  A clean room fabrication facility provides real world context for exploiting chemically- and physically-driven symmetry.

  • Week 8:  ‘Looking for Broken Symmetry - Atomic Scale Imaging’ looks beyond 3 dimensional symmetry to higher dimensional repetitions found in incommensurate crystal structures. ‘Deceptive Perception - Symmetry & Furniture Design’ returns to the everyday appearance of symmetry that can now be explored analytically.

At the conclusion of this study, you will possess the tools and the motivation to look at symmetry with even greater delight, wonder and appreciation!



  • Tim White - School of Materials Science & Engineering
  • - School of Materials Science & Engineering


Nanyang Technological University, Singapore
Young and research-intensive, Nanyang Technological University (NTU Singapore) is ranked 13th globally. It is also placed 1st amongst the world’s best young universities. NTU has about 33,000 students in the colleges of engineering, science, business, education, humanities, arts, social sciences. Its medical school is set up jointly with Imperial College London. A melting pot of international award-winning scientists, young talents and eminent global partners, NTU is also home to several world-class research institutes that builds on its strengths in interdisciplinary research.



Coursera是一家数字公司,提供由位于加利福尼亚州山景城的计算机教师Andrew Ng和达芙妮科勒斯坦福大学创建的大型开放式在线课程。

Coursera与顶尖大学和组织合作,在线提供一些课程,并提供许多科目的课程,包括:物理,工程,人文,医学,生物学,社会科学,数学,商业,计算机科学,数字营销,数据科学 和其他科目。

您是 MOOC 的设计者?