Forming a Regular Pentagon, Decagon and Pentagram Using Origami Technique
نویسندگان
چکیده
Forming a regular pentagon, decagon and pentagram using origami technique is based on the construction of approximately 36 angle by dint of A4 paper of format. The implemented method is “fold and cut”. We endeavored to obtain the polygons with the most accurate sides, i.e. with the minimal aberration of the interior angle. There is also considered an ideal paper format, which would provide the most accurate result, with negligible error. As the most suitable, we accepted the argentic rectangle.
منابع مشابه
The Equilateral Pentagon at Zero Angular Momentum: Maximal Rotation through Optimal Deformation
A pentagon in the plane with fixed side-lengths has a two-dimensional shape space. Considering the pentagon as a mechanical system with point masses at the corners we answer the question of how much the pentagon can rotate with zero angular momentum. We show that the shape space of the equilateral pentagon has genus 4 and find a fundamental region by discrete symmetry reduction with respect to ...
متن کاملSome Fractals in Goldpoint Geometry
Problems of interest in goldpoint geometry [1] arise from study of tile-figures that are obtained when goldpoints are marked on sides of triangles, squares, pentagons, etc. and joined by lines in various ways. Many combinatoric problems arise naturally in the course of such studies. Another type of problem is to determine how to combine collections of golden tiles in jig-saw fashion, so that th...
متن کاملThe Pentagram Map
Work supported by an Alfred P. Sloan Doctoral Dissertation Fellowship. We consider the pentagram map on the space of plane convex pentagons obtained by drawing a pentagon’s diagonals, recovering unpublished results of Conway and proving new ones. We generalize this to a ‘‘pentagram map’’ on convex polygons of more than five sides, showing that iterated images of any initial polygon converge exp...
متن کاملMorphology of single inhalable particle inside public transit biodiesel fueled bus.
In an urban-transit bus, fueled by biodiesel in Toledo, Ohio, single inhalable particle samples in October 2008 were collected and detected by scanning electron microscopy and energy dispersive X-ray spectrometry (SEM/EDS). Particle size analysis found bimodal distribution at 0.2 and 0.5 microm. The particle morphology was characterized by 14 different shape clusters: square, pentagon, hexagon,...
متن کاملModeling of Kepler-Poinsot Solid Using Isomorphic Polyhedral Graph
This paper presents an interactive modeling system of uniform polyhedra using the isomorphic graphs. Especially, Kepler-Poinsot solids are formed by modifications of dodecahedron and icosahedron. Keywords—Kepler-Poinsot solid, Shape modeling, Polyhedral graph, Graph drawing. I. INTRUDUCTION EPLER-POINSOT solids are subset of uniform polyhedra, which include 5 regular polyhedra (Platonic soilids...
متن کامل