On approximating any regular polygon by folding paper strips
There exists a Euclidean construction of a regular N-gon for very few values of N, and even for these N, we do not know in all cases the explicit constructions.This thesis is an exposition of a better alternative to the Euclidean construction of the regular N-gon. It shows how to construct an approx...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1993
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16097 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | There exists a Euclidean construction of a regular N-gon for very few values of N, and even for these N, we do not know in all cases the explicit constructions.This thesis is an exposition of a better alternative to the Euclidean construction of the regular N-gon. It shows how to construct an approximation, to any desired degree of accuracy, a regular N-gon for any value of N. Explicity and uncomplicated constructions involving only the folding of a straight strip of paper are described and the corresponding mathematical theory is discussed. In the process, an interesting interplay of geometry, analysis and number theory is illustrated. |
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