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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
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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

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References

REFERENCES

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