Hostname: page-component-cb9f654ff-h4f6x Total loading time: 0 Render date: 2025-08-29T11:40:20.375Z Has data issue: false hasContentIssue false
  • English
  • Français

Octahedra Inscribed in a Cube*

Published online by Cambridge University Press:  03 November 2016

T. Bakos
Get access Rights & Permissions [Opens in a new window]

Extract

The following problem was proposed by Dormán Luke, Math. Gazette, Vol. XLI, p. 194 (1957):

Inscribe a regular octahedron in a cube, so that its vertices are one on each of six edges of the cube.

Four such octahedra can be inscribed; what is the solid with 32 faces which is common to these four?

Starting with the octahedron, how many cubes can we circumscribe to it in this way?

Again, what solid formed by their vertices encases them all?

Information

Type
Research Article
Information
The Mathematical Gazette , Volume 43 , Issue 343 , February 1959 , pp. 17 - 20
Copyright
Copyright © Mathematical Association 1959

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.)

Article purchase

Temporarily unavailable

Footnotes

*

Translated from the German by Norman W Johnson, University of Toronto.

References

* Translated from the German by Norman W Johnson, University of Toronto.