Unfolding the Earth: Myriahedral Projections

栏目: IT技术 · 发布时间: 5年前

内容简介:The method

For a quick impression of myriahedral projections, see thevideo. Two minutes, no audio.

Unfolding the Earth: Myriahedral Projections

For a detailed answer what these maps look like and how to generate them, see:

Jarke J. van Wijk. Unfolding the Earth: Myriahedral Projections .

The Cartographic Journal, Vol. 45, No. 1, pp.32-42, February 2008.

The article was awarded with the Henry Johns Award 2009 , run by the British Cartographic Society with the support of Lovell Johns, for the best Cartographic Journal article in 2008. The Cartographic Journal is published by Maney Publishing ( www.maney.co.uk ).

A story on myriahedral projections in New Scientist can be found here

.

The method

  1. Project the globe on a myriahedron
  2. Label the edges as cuts or folds
  3. Unfold the globe

Unfolding the Earth: Myriahedral Projections

A myriahedron is a polyhedron with a very large number of faces. For this reason, we call the results myriahedral projections. In step 2 and 3, this myriahedron is cut open and unfolded. The resulting maps have a large number of interrupts, but are (almost) conformal and conserve areas.

Examples

Now, dependent on which mesh is used and which strategy for labeling the edges, different maps are obtained. First, one can cut along parallels or meridians. We call these graticular projections, since they are based on the graticule. The resulting images resemble familiar map projections.

Unfolding the Earth: Myriahedral Projections

Second, one can take a regular polyhedron, subdivide the faces, and fold it out.

Unfolding the Earth: Myriahedral Projections

One can take the shapes of the continents into account, when defining the cuts. By changing priorities, one can obtain maps where most cuts are through oceans or continents.

Unfolding the Earth: Myriahedral Projections

Traditional maps are often Euro-centric. Focussing on for instance Australia gives different results (thanks to David Mayes for this suggestion).

Unfolding the Earth: Myriahedral Projections

Contact

For more information, see theor contactJack van Wijk. All images copyright The British Cartographic Society 2008 and/or Jack van Wijk, TU/e.

Acknowledgements

I gratefully acknowledge Michiel Wijers, who has coined the term "myriahedral". I thank my colleagues, friends, and family for encouragement and advice, especially Jason Dykes and Menno-Jan Kraak. The website of Carlos Furuti gives much information on map projection. Flattening the Earth of John P. Snyder gives a great overview of the history of map projection.

以上就是本文的全部内容,希望本文的内容对大家的学习或者工作能带来一定的帮助,也希望大家多多支持 码农网

查看所有标签

猜你喜欢:

本站部分资源来源于网络,本站转载出于传递更多信息之目的,版权归原作者或者来源机构所有,如转载稿涉及版权问题,请联系我们

浴缸里的惊叹

浴缸里的惊叹

顾森 / 人民邮电出版社 / 2014-7 / 49.00元

《浴缸里的惊叹》是一本趣题集,里面的题目全部来自于作者顾森十余年来的精心收集,包括几何、组合、行程、数字、概率、逻辑、博弈、策略等诸多类别,其中既有小学奥数当中的经典题目,又有世界级的著名难题,但它们无一例外都是作者心目中的“好题”:题目本身简单而不容易,答案出人意料却又在情理之中,解法优雅精巧令人拍案叫绝。作者还有意设置了语言和情境两个类别的问题,希望让完全没有数学背景的读者也能体会到解题的乐趣......一起来看看 《浴缸里的惊叹》 这本书的介绍吧!

UNIX 时间戳转换
UNIX 时间戳转换

UNIX 时间戳转换

RGB HSV 转换
RGB HSV 转换

RGB HSV 互转工具

HEX HSV 转换工具
HEX HSV 转换工具

HEX HSV 互换工具