Skip to main content
SpringerLink
Log in

Quaquaversal tilings and rotations

  • Article
  • Published:
Inventiones mathematicae Aims and scope

Abstract.

We construct a hierarchical tiling of 3 dimensional Euclidean space based on a triangular prism, using repeated rotations, about orthogonal axes, by angles 2π/m and 2π/n. To analyze the structure of the tiling we are led to determine the group G(m,n) generated by such a pair of rotations, for m=n=3 and for m=3, n=4.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ 08544, USA, , , , , , US

    John H. Conway

  2. Department of Mathematics, University of Texas, Austin, TX 78712, USA, , , , , , US

    Charles Radin

Authors
  1. John H. Conway
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Charles Radin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum X-1995 & 14-V-1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Conway, J., Radin, C. Quaquaversal tilings and rotations. Invent math 132, 179–188 (1998). https://doi.org/10.1007/s002220050221

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002220050221

Keywords

Search

Navigation