Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Polyhedral truncations as eutactic transformations.

M Torres1, J L Aragón, A Gómez-Rodríguez

  • 1Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain.

Acta Crystallographica. Section A, Foundations of Crystallography
|June 26, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Implementation of ambulatory health care quality standards in an Occupational Mutual Insurance Company.

Journal of healthcare quality research·2026
Same author

Biophysical approaches to antimicrobial peptide-membrane characterization.

Biochimica et biophysica acta. Biomembranes·2026
Same author

Ultrasonographic and radiographic diagnosis of an intestinal phytobezoar in a dog.

The Journal of small animal practice·2025
Same author

Barriers and facilitators to implementing a multilevel, multicomponent intervention promoting colorectal cancer screening in health centers: a qualitative study of key informant perspectives.

BMC health services research·2024
Same author

Post-acute phase and sequelae management of epidermal necrolysis: an international, multidisciplinary DELPHI-based consensus.

Orphanet journal of rare diseases·2023
Same author

Marine debris and associated organic pollutants in surface waters of Chiloé in the Northern Chilean Patagonia (42°-44°S).

Marine pollution bulletin·2023
Same journal

Report of the Executive Committee for 2006.

Acta crystallographica. Section A, Foundations of crystallography·2020
Same journal

Spin line groups.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Platonic solids generate their four-dimensional analogues.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

C70, C80, C90 and carbon nanotubes by breaking of the icosahedral symmetry of C60.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Comparative study of X-ray charge-density data on CoSb3.

Acta crystallographica. Section A, Foundations of crystallography·2013
See all related articles

Eutactic stars, projections of orthogonal vectors, are key to generating quasicrystals. New transformations and radiations preserve eutacticity, aiding in understanding quasicrystal faceting and habit formation.

Area of Science:

  • Geometry
  • Materials Science
  • Crystallography

Background:

  • Eutactic stars are sets of N vectors in Rn, derived from N orthogonal vectors in RN.
  • They are crucial in quasicrystal research for generating quasiperiodic tilings via higher-dimensional lattice projections.

Purpose of the Study:

  • To define and explore eutactic transformations and vector radiations.
  • To apply these concepts to parameterize and understand polyhedral truncations.

Main Methods:

  • Definition of eutactic transformations that preserve eutacticity.
  • Introduction of vector radiations derived from eutactic star vectors.
  • Application of these concepts to polyhedral truncation.

Main Results:

Related Experiment Videos

  • Eutactic transformations and vector radiations are defined.
  • These methods are shown to be effective in describing and parameterizing polyhedral truncations.
  • It is demonstrated that these polyhedral truncations preserve eutacticity.

Conclusions:

  • The study introduces novel concepts (eutactic transformations, vector radiations) for analyzing eutactic stars.
  • These concepts provide a framework for understanding polyhedral truncations in quasicrystals.
  • The preservation of eutacticity in these truncations is relevant to quasicrystal faceting and habit formation.