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Abstract
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We construct elliptic
configurations for all integers
.
This solves an open problem of Branko Grünbaum. The
configurations which we build have mirror symmetry and even
symmetry
if
is a
multiple of
.
The configurations are dynamic in the sense that the points can be moved along the
elliptic curve in such a way that all line incidences are preserved.
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Keywords
configurations, elliptic curves
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Mathematical Subject Classification
Primary: 51A05, 51A20
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Milestones
Received: 26 January 2023
Accepted: 12 March 2024
Published: 31 May 2024
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