Geometry of Moving Planes: Difference between revisions
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{{Infobox paper | {{Infobox paper | ||
| title = Geometry of Moving Planes | | title = Geometry of Moving Planes | ||
| url = [https://web.archive.org/web/20240214213323/http://arxiv.org/PS_cache/arxiv/pdf/0710/0710.0092v1.pdf Link to paper (Internet Archive)] | |||
| author = [[Garret Sobczyk]] | | author = [[Garret Sobczyk]] | ||
| keywords = geometry, mathematics | |||
| published = 2008 | | published = 2008 | ||
| journal = [[ArXiv]] | | journal = [[ArXiv]] | ||
| num_pages = 16 | | num_pages = 16 | ||
}} | }} | ||
'''Read the full paper''' [https://web.archive.org/web/20240214213323/http://arxiv.org/PS_cache/arxiv/pdf/0710/0710.0092v1.pdf here] ''(archived copy — the original link is no longer available)'' | |||
==Abstract== | ==Abstract== | ||
The concept of number and its generalization has played a central role in the development of mathematics over many centuries and many civilizations. Noteworthy milestones in this long and arduous process were the developments of the real and complex numbers which have achieved universal acceptance. Serious attempts have been made at further extensions, such as Hamiltons quaternions, Grassmann's exterior algebra and Clifford's geometric algebra. By examining the geometry of moving planes, we show how new mathematics is within reach, if the will to learn these powerful methods can be found.[[Category:Scientific Paper]] | The concept of number and its generalization has played a central role in the development of mathematics over many centuries and many civilizations. Noteworthy milestones in this long and arduous process were the developments of the real and complex numbers which have achieved universal acceptance. Serious attempts have been made at further extensions, such as Hamiltons quaternions, Grassmann's exterior algebra and Clifford's geometric algebra. By examining the geometry of moving planes, we show how new mathematics is within reach, if the will to learn these powerful methods can be found. | ||
[[Category:Scientific Paper|geometry moving planes]] | |||
Latest revision as of 07:31, 21 July 2026
| Scientific Paper | |
|---|---|
| Title | Geometry of Moving Planes |
| Read in full | Link to paper (Internet Archive) |
| Author(s) | Garret Sobczyk |
| Keywords | geometry, mathematics |
| Published | 2008 |
| Journal | ArXiv |
| No. of pages | 16 |
Read the full paper here (archived copy — the original link is no longer available)
Abstract
The concept of number and its generalization has played a central role in the development of mathematics over many centuries and many civilizations. Noteworthy milestones in this long and arduous process were the developments of the real and complex numbers which have achieved universal acceptance. Serious attempts have been made at further extensions, such as Hamiltons quaternions, Grassmann's exterior algebra and Clifford's geometric algebra. By examining the geometry of moving planes, we show how new mathematics is within reach, if the will to learn these powerful methods can be found.