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[2] viXra:2103.0032 [pdf] replaced on 2021-03-22 20:41:19
Authors: Dante Servi
Comments: 31 Pages. Copyright by Servi Dante.
The basic scheme to which I refer is described in my article "Polygonal Spirals with Manageable Inclination Full Version of the Discussion" published on vixra.org. The article "How and Why to Use my Graphic Method" of which this is a further revision, was created with the aim of providing further information on the basic scheme by analyzing what I had already done; this led me to discover other possibilities offered by the fixed angle step. Now with the revision [v2] I wanted to offer a selectable text to facilitate a possible translation (the original language is Italian); I took the opportunity to return to consider what was my first polygonal spiral.
Category: Geometry
[1] viXra:2103.0019 [pdf] replaced on 2024-06-25 07:04:46
Authors: Volker W. Thürey
Comments: 8 Pages.
In the first part, we deal with the question of which points we have to connect togenerate a non self-intersecting polygon. Afterwards, we introduce a polyhole, whichis a generalization of a polygon. Roughly speaking a polyhole is a big polygon, wherewe cut out a finite number of small polygons.In the second part, we present two ‘centers’, which we call center and barycenter.In the case that both centers coincide, we call these polygons nice. We show thatif a polygon has two symmetry axes, it is nice. We yield examples of polygons witha single symmetry axis which are nice and which are not nice. We show that allsymmetry axes intersect at one point.In the third part, we introduce the Spieker center and the Point center for polygons.We define beautiful polygons and perfect polygons.
Category: Geometry
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