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Restricting symmetry (rather than breaking it) Conder, Marston
Description
The symmetry of a discrete structure can easily be altered (or in the case of maps, destroyed) by changing just a small part of it. But there are other contexts where a large degree of symmetry is desirable without achieving the maximum possible symmetry, for example with maps and polytopes that are maximally symmetric by orientation-preserving automorphisms but are chiral (admitting no refections). In a similar vein, sometimes restricting the symmetry can help achieve things that are either impossible or difficult when full symmetry is assumed. I will outline a few recent discoveries that explain and illustrate these phenomena.
Item Metadata
Title |
Restricting symmetry (rather than breaking it)
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-21T09:04
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Description |
The symmetry of a discrete structure can easily be altered (or in the case of maps, destroyed) by changing just a small part of it. But there are other contexts where a large degree of symmetry is desirable without achieving the maximum possible symmetry, for example with maps and polytopes that are maximally symmetric by orientation-preserving automorphisms but are chiral (admitting no refections). In a similar vein, sometimes restricting the symmetry can help achieve things that are either impossible or difficult when full symmetry is assumed. I will outline a few recent discoveries that explain and illustrate these phenomena.
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Extent |
37.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Auckland
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Series | |
Date Available |
2019-03-21
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377239
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International