UNFOLDED REGULAR AND SEMI-REGULAR POLYHEDRA

Authors

  • Elena Ionita University Politehnica of Bucharest
  • Georgeta Haraga University Politehnica of Bucharest
  • Ana - Maria Avramescu University Politehnica of Bucharest

Keywords:

3D modeling, regular, semi-regular polyhedral, unfold, net

Abstract

This paper proposes a presentation unfolding regular and semi-regular polyhedra. Regular polyhedra are convex polyhedra whose faces are regular and equal polygons, with the same number of sides, and whose polyhedral angles are also regular and equal. Semi-regular polyhedra are convex polyhedra with regular polygon faces, several types and equal solid angles of the same type. A net of a polyhedron is a collection of edges in the plane which are the unfolded edges of the solid. Modeling and unfolding Platonic and Arhimediene polyhedra will be using 3dsMAX program. This paper is intended as an example of descriptive geometry applications.

Downloads

Download data is not yet available.

References

Ionita, E., (2013). 3D Modeling Of Regular, Semi-

Regular and Star-Shaped Polyhedra. ICEGD 2013 -

International Conference on Engineering Graphics

and Design, were published in Scientific Bulletin of

the Politechnic Institute of Timisoara, Transactions

on HYDROTECHNICS, Tom 58 (72), Fasc.

Additional 2013, Ed. POLITEHNICA, pp. 59-62,

ISSN 1224-6042, type review, 13– 15 June,

Timisoara, Romania.

Ioni?a E., (2014). Descriptive Geometry. Course and

applications. Publisher PRINTECH, ISBN 978-606-

-0186-6, Bucharest, Romania

Horiyami, T., Shoji, W., (2011). Edge unfoldings of

Platonic solids never overlap, In: Proc. CCCG 2011,

pp. 65-70.

http://en.wikipedia.org/wiki/Platonic_solid

http://en.wikipedia.org/wiki/Archimedean_solid

Downloads

Published

2015-07-01

Issue

Section

Theoretical Geometry and Graphics Section

Most read articles by the same author(s)