Optimum Permutation on a Circle.

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Bibliographic Details
Title: Optimum Permutation on a Circle.
Authors: Sarkar, Jyotirmoy1 (AUTHOR) jsarkar@iu.edu
Source: Resonance: Journal of Science Education. Nov2025, Vol. 30 Issue 11, p1425-1444. 20p.
Subject Terms: *Decimal system, Mathematical optimization, Polygons, Numerals
Abstract: To the vertices of a regular decagon, allocate digits 0 through 9 (using each digit exactly once) so that the product of all ten two-digit numbers in base 10 formed by adjoining each pair of successive digits (always going clockwise) is minimized. What if digits 0,1,..., (k − 1) are allocated to the vertices of a regular k-gon and the two-digit numbers are read in base k? [ABSTRACT FROM AUTHOR]
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Database: Education Research Complete
Description
Abstract:To the vertices of a regular decagon, allocate digits 0 through 9 (using each digit exactly once) so that the product of all ten two-digit numbers in base 10 formed by adjoining each pair of successive digits (always going clockwise) is minimized. What if digits 0,1,..., (k − 1) are allocated to the vertices of a regular k-gon and the two-digit numbers are read in base k? [ABSTRACT FROM AUTHOR]
ISSN:09718044
DOI:10.1007/s12045-025-1890-2