METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS

Authors

  • Daniel Dobre University Politehnica of Bucharest

Keywords:

regular polygon, pentagon, heptagon, nonagon, hendecagon, pentadecagon, heptadecagon

Abstract

The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge. Odd pointed polygons are difficult to construct accurately, though there are relatively simple ways of making a good approximation which are accurate within the normal working tolerances of design practitioners. The paper illustrates rather complicated constructions to produce unconstructible polygons with an odd number of sides, constructions that are particularly helpful for engineers, architects and designers. All methods presented in this paper provide practice in geometric representations.

Downloads

Download data is not yet available.

Author Biography

Daniel Dobre, University Politehnica of Bucharest

Assoc Prof at Department of Engineering Graphics and Industrial Design

References

Lockerbie, J. (2010). Notes for a Study of the Design

and Planning of Housing for Qataris, London.

Raicu, L., Vasilescu, I., Marin, G. (2013). Geometria

o componenta grafica a matematicii, Editura

Printech, Bucuresti, ISBN 978-606-23-0123-1.

Postelnicu, V., Coatu, S. (1980). Mica enciclopedie

matematica, Editura Tehnica, Bucuresti.

Jensen, C., Helsel, J. D., Short, D. R. (2008).

Engineering Drawing and Design, 7th ed., McGraw-

Hill, ISBN 978-0-07-128420-2.

Dobre, D. (2012). Symmetry of two dimensional

patterns, Journal of Industrial Design and

Engineering Graphics, vol. 7, Issue 1, pp. 19-24,

ISSN 1843-3766.

Dobre, D. (2013). Mathematical properties of the

golden ratio – A fascinating number, Journal of

Industrial Design and Engineering Graphics, vol. 8,

Issue 2, pp. 11-16, ISSN 1843-3766.

Bodner, B. L. (2009). The Eleven-Pointed Star

Polygon of the Topkapi Scroll, Bridges Conference

Proceedings, New Jersey.

www.statemaster.com/encyclopedia/constructiblepolygon.

Accessed: 2016.02.11

www.mathworld.wolfram.com/heptadecagon.html.

Accessed: 2016.02.05

www.catnaps.org/islamic/deisgn.html. Accessed:

02.10

Downloads

Published

2016-07-01

Issue

Section

Research Papers

Most read articles by the same author(s)

1 2 > >>