Skip to main content Accessibility help
×
Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-25T06:48:02.685Z Has data issue: false hasContentIssue false

5 - Reflections on the mirror

Published online by Cambridge University Press:  05 May 2013

Felipe Cucker
Affiliation:
City University of Hong Kong
Get access

Summary

Beauty! Where shall one begin on a subject so vast, one that has stirred so many celebrated writers? What a theme! An endless one; and let it be said in passing, just such questions as these are the most interesting, because with them, the last word is never said and because everyone can have a different opinion.

E. Delacroix (1938: 705)

Why so many examples of symmetry in man-made objects? Does symmetry add beauty? Certainly, the implied consequence of an affirmative answer to the latter, namely the fact that the more symmetries an object possesses the more beautiful the object is, cannot be true. For the plane itself is the most symmetrical of all objects and yet it is wanting life. But then how does symmetry relate to beauty?

These questions do not have a definite answer. Yet, such a lack of definition appears not to have hindered attempts at formulating answers, and it could be argued that it has, in fact, provided a reason for multiple efforts to do so. For beauty itself has been the subject of many philosophical reflections and its perception studied as a branch of psychology. It would perhaps be as foolish to endeavour a description of all this pondering as it would be blind to ignore it. A possible compromise consists of selecting those reflections whose nature best suits the purpose of this book and whose contents will, therefore, throw light on our subsequent exposition. In doing so we will be oblivious to most of the discussion around beauty, including arguments which are close to our theme.

Type
Chapter
Information
Manifold Mirrors
The Crossing Paths of the Arts and Mathematics
, pp. 111 - 127
Publisher: Cambridge University Press
Print publication year: 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×