Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-24T17:27:01.343Z Has data issue: false hasContentIssue false
  • English
  • Français

Covering a sphere with congruent great-circle arcs

Published online by Cambridge University Press:  24 October 2008

J. H. Conway  and
H. T. Croft
J. H. Conway
Affiliation:
Gonville and Caius College, and Peterhouse, Cambridge
H. T. Croft
Affiliation:
Gonville and Caius College, and Peterhouse, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

1. Mikusiński ((2), Problem 84) asks: can we express the surface of a sphere (in Euclidean 3-space) as the union of non-overlapping congruent great-circle arcs? We give a partial answer to this question.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 787 - 800
Copyright
Copyright © Cambridge Philosophical Society 1964

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.)

References

REFERENCES

(1)Bachman, H.Transfinite Zahlen (Berlin, 1955).Google Scholar
(2)Fast, H. and Swierczkowski, S.(editors). The new Scottish book (Wroclaw, 1958).Google Scholar
(3)Steenrod, N. E.The topology of fibre bundles (Princeton, 1951).Google Scholar