• Course Calendar
    • Course Calendar
    • Additional Course Information
    • Directions and Transportation
    • Hotels
  • The Microscope Journal
    • About The Microscope Journal
    • Subscriptions and Renewals
    • Current Issues, Back Issues, Articles
    • Guide for Authors
    • Disclaimer
    • The Microscope Vol. 73:2 2026
    • The Microscope Vol. 73:1 2026
    • The Microscope Vol. 72:4 2025
    • The Microscope Vol. 72:3 2025
    • The Microscope Vol. 72:2 2025
    • The Microscope Vol. 72:1 2025
    • The Microscope Vol. 71:4 2024
    • The Microscope Vol. 71:3 2024
    • The Microscope Vol. 71:2 2024
    • The Microscope Vol. 71:1 2024
    • The Microscope Vol. 70:4 2023
    • The Microscope Vol. 70:3 2023
    • The Microscope Vol. 70:2 2023
    • The Microscope Vol. 70:1 2023
    • The Microscope Vol. 69:4 2022
    • The Microscope Vol. 69:3 2022
    • The Microscope Vol. 69:2 2022
    • The Microscope Vol. 69:1 2022
    • The Microscope Vol. 68:3/4 2020
    • The Microscope Vol. 68:2 2020
    • The Microscope Vol. 68:1 2020
    • The Microscope Vol. 67:4 2019
    • The Microscope Vol. 67:3 2019
    • The Microscope Vol. 67:2 2019
    • The Microscope Vol. 67:1 2019
    • The Microscope Vol. 66:4 2018
    • The Microscope Vol. 66:3 2018
    • The Microscope Vol. 66:2 2018
    • The Microscope Vol. 66:1 2018
    • The Microscope Vol. 65:4 2017
    • The Microscope Vol. 65:3 2017
    • The Microscope Vol. 65:2 2017
    • The Microscope Vol. 65:1 2017
    • The Microscope Vol. 64:4 2016
    • The Microscope Vol. 64:3 2016
    • The Microscope Vol. 64:2 2016
    • The Microscope Vol. 64:1 2016
    • The Microscope Vol. 63:1 2015
    • The Microscope Vol. 63:2 2015
    • The Microscope Vol. 63:3 2015
    • The Microscope Vol. 63:4 2015
  • Publications and Videos
    • Books, Charts, and Graphs
    • The Microscope Journal
    • Videos
  • Inter/Micro Conference
    • Inter/Micro Conference 2027
    • 2027 Abstract Submission Guidelines
    • About Inter/Micro 2026
    • Schedule of Events
    • 2026 Abstracts and Presentation Schedule
    • SMSI Silent Auction
    • SMSI Awards Dinner
    • Company Sponsors 2026
    • Photomicrography Competition
    • Workshop: Microscopical ID of Sand
    • Exhibitor & Sponsor Registration
    • Directions and Transportation
    • Hotels
  • Research
    • Analytical Laboratory Research
    • The Vinland Map
    • Shroud of Turin Research at McCrone
    • The Latest McCrone Shroud Update
    • Isabella Stewart Gardner Museum Theft
    • About Research at McCrone
  • About
    • Students and Clients A-Z
    • About Lucy B. McCrone
    • About Walter C. McCrone
    • Contact
    • Privacy and Other Policies

On Symmetry


THE MICROSCOPE
2018, Volume 66:3, pp. 99–112
DOI
https://doi.org/10.59082/SGOQ1934
AUTHOR
John C. Russ
ABSTRACT
Symmetry, in the sense of repetitive spatial arrangements, takes many specific forms that we encounter routinely, usually recognize visually, and have some difficulty in quantifying. As there are many types of symmetry, some of them partial or imperfect, so there are many measurement approaches. Some of these consider only the outline or boundary of an object, others include the interior structure, some apply to an entire image, while others operate on individual objects. Examples of the various classes of symmetry and several methods for analysis are presented.
Subscribe to The Microscope
McCrone Research Institute
A Not-for-Profit Corporation
2820 South Michigan AvenueChicago, IL 60616-3230 (312) 842-7100
Copyright © 2026 McCrone Research Institute, Inc. All rights reserved.

We use cookies to enable essential functionality on our website, and analyze website traffic. By clicking Accept you consent to our use of cookies. Cookies and Privacy Policy.

Your Cookie Settings

We use cookies to enable essential functionality on our website and analyze website traffic. For more information, read our Cookies and Privacy Policy below..

Cookie Categories
Essential

These cookies are strictly necessary to provide you with services available through our websites.

Analytics

These cookies collect information that is used in aggregate and in an anonymized form to help us understand how our website is being used and how effectively our site is performing.