Skip to main content
SpringerLink
Log in

The Reconstruction of Platonic Solid from its Edge

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

The problem of reconstruction of a regular polyhedron with integral coordinates of vertices from given edge (or a diagonal of a cube) is considered. Necessary and sufficient conditions for existence of such polyhedrons are established. Algorithm for finding a solution is presented and the number of the solutions is determined. Bibliography: 1 title.

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

Reference

  1. R. O. Kuzmin and D. K. Faddeev, Algebra and Arithmetcs of Complex Numbers, Uchpedgiz, Leningrad (1939).

Download references

Author information

Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    B. B. Lur’e

Authors
  1. B. B. Lur’e
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. B. Lur’e.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 478, 2019, pp. 194–201.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lur’e, B.B. The Reconstruction of Platonic Solid from its Edge. J Math Sci 247, 626–631 (2020). https://doi.org/10.1007/s10958-020-04824-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-020-04824-y

Search

Navigation