Approximated Poncelet configurations
| Autor: | Szilárd András, Örs Nagy |
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| Rok vydání: | 2015 |
| Předmět: |
Erziehung
Schul- und Bildungswesen 0603 philosophy ethics and religion Fachdidaktik/mathematisch-naturwissenschaftliche Fächer 01 natural sciences Euklidische Geometrie Education Computer-based information system ddc:370 Calculus Hochschulforschung und Hochschuldidaktik 0101 mathematics MATLAB Computersimulation Mathematics computer.programming_language 010102 general mathematics Pendulum 06 humanities and the arts Construct (python library) Applied mathematics Grid Angewandte Mathematik Algebra Project based 060302 philosophy computer |
| Zdroj: | Teaching Mathematics and Computer Science 13 (2015) 2, S. 163-176 |
| ISSN: | 1589-7389 |
| DOI: | 10.5485/tmcs.2015.0390 |
| Popis: | In this short note we present the approximate construction of closed Poncelet configurations using the simulation of a mathematical pendulum. Although the idea goes back to the work of Jacobi, only the use of modern computer technologies assures the success of the construction. We present also some remarks on using such problems in project based university courses and we present a Matlab program able to produce animated Poncelet configurations with given period. In the same spirit we construct Steiner configurations and we give a few teaching oriented remarks on the Poncelet grid theorem. (DIPF/authors) |
| Databáze: | OpenAIRE |
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