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4.2 Subdivisions

In this subsection we formalise the idea of a net by introducing a useful concept called a subdivision of a surface. This is a standard kind of net drawn on a surface, and is defined in terms of vertices, edges and faces. It leads to the idea of the Euler characteristic of the surface.

All surfaces obtained from polygons by identifying edges arise from a net (of sorts) consisting of a single polygonal face, together with the edges and vertices that remain aft
Author(s): The Open University

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2.3.8 Sphere

Surfaces can be constructed in a similar way from plane figures other than polygons. For example, starting with a disc, we can fold the left-hand half over onto the right-hand half, and identify the edges labelled a, as shown in Figure 36; this is rather like zipping up a purse, or ‘crimping’ a Cornish pastie. We can then s
Author(s): The Open University

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Exploring philosophy: faking nature
Commercial exploitation of nature, such as mining, fracking, or generating hydro-electric power, often damages the way the natural environment looks. What if the environment could be restored to exactly how it looked before? Would that mean that no damage had been done, that the natural environment was as valuable as it had been before the commercial exploitation? This free course, Exploring philosophy: faking nature, examines ‘the restoration thesis’, and provides an insight into philosophi
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War memorials and commemoration
This free course, War memorials and commemoration, gives you the opportunity to practise good study techniques using the theme of commemoration and memorials. It will help you to begin to think about how form influences meaning in the arts and how ideas influence approaches to the humanities. First published on Tue, 12 Jan 2016 as Author(s): Creator not set

Methodism in Wales, 1730–1850
In this free course, Methodism in Wales, 1730–1850, you will learn about a neglected strand of Welsh history and identity. By the mid-nineteenth century, Calvinistic Methodism had become the most popular religious denomination in Wales and a mainstay of Welsh national identity. Where did this new form of religion come from? Why did it become so popular? And how did it become so intertwined with ideas about Welshness? These are the questions this course will consider, and at the same time it wi
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Early modern Europe: an introduction
The early modern period from 1500 to 1780 is one of the most engaging periods for historical study. Beginning with the upheavals of the Reformation, and ending with the Enlightenment, this was a time of fundamental intellectual, social, religious and cultural change. At the same time, early modern Europe was rooted in and retained many of the customs of medieval times. In this free course, Early modern Europe: an introduction, you will explore some of the fundamental characteristics of this fasc
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Acknowledgements

This free course was written by Ms Candida Clark

Except for third party materials and otherwise stated (see terms and conditions), this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence .

The material acknowledged
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Java1606s Slides
R.G. (Dick) Baldwin
This module contains lecture slides keyed to the module titled Java1606: Inheritance, Part 2,
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Formula Growth donates $1.1 M to Quebec universities
http://concordia.ca/news.html Montreal-based investment firm Formula Growth Limited is advancing business programs at Concordia, Bishop's, McGill universities and HEC Montréal thanks to a $1.1 million donation to all four institutions. In this video, Concordia Department of Journalism student Emily Campbell explains how this gift will support the following initiatives: • John Dobson—Formula Growth Investment Room at Concordia's John Molson School of Business (JMSB). • The Dobson-Lagass
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Penny and Cup Game
Developed for third grade. To discover if one eye is better than two. Students will test their sense of sight with both monocular and binocular vision. Students will drop a penny and see if it lands in the cup of water. They will have to rely on their sense of sight for this activity. Biology In Elementary Schools is a Saint Michael's College student project. The teaching ideas on this page have been found, refined, and developed by students in a college-level course on the teaching of biology
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Finances Matter
Discover how to effectively pre-plan, manage and find the resources you need to pay for university. Specific topics include bursaries, work programs and budgeting. Student Accounts will review details relating to tuition fees, making payments, different types of funding, tips to cost effectiveness and the importance of managing student accounts.
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Star Library: What is the Shelf Life?
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Outrageous Ooze
Developed for third and fourth grade. Students will be given the opportunity to use mathematics to make their own "outrageous ooze" through measuring cornstarch and water. They will use their senses to hypothesize what element "outrageous ooze" is (solid or liquid). Then, they will use scientific observations and methodology to complete a handout and have a "conclusion discussion" about what the ooze is and how it works. Biology In Elementary Schools is a Saint Michael's College student project
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Neuron Creations
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