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Simplexes Self-Polar for a Simplex

Published online by Cambridge University Press:  09 April 2009

Augustine O. Konnully
Augustine O. Konnully
Affiliation:
St. Albert's College, Ernakulam Cochin, India
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In this paper we prove the existence of simplexes self-polar for a given simplex in projective space of dimensions higher than two. And noting the reciprocity of the relationship between a simplex and any simplex self-polar for it, further, we consider a configuration in projective space associated with a pair of mutually self-polar simplexes. Finally the results obtained are related to the simplexes determined by Hadamard matrices in space of special dimensions.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 3 , August 1971 , pp. 309 - 314
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Mandan, S. R., ‘Properties of Mutually Self-polar Tetrahedra’, Bull. Ca. Math. Soc. 33 (1941), 147–155.Google Scholar
[2]Hameed, Asghar, ‘On Mutually Self-polar Simplexes’, Bull. Ca. Math. Soc. 35 (1943), 43.Google Scholar