WISSAM SHEKHANI

GLOBAL CONTEMPORARY INTELLECTUAL AND RESEARCHER

Wissam's Invention in Geometry Science    "Circulo-Polygon" & "Sphero-Polyhedron"      

 

The Circulo-Polygon

 

In Geometry a polygon is a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners. Usually two edges meeting at a corner are required to form an angle that is not straight 180°; otherwise, the line segments will be considered parts of a single edge.

 Wissam Shekhani had created a new type of Polygons in Geometry Science, the "Circulo-Polygons". A "Circulo-Polygon" has no straight lines at all; The Science proved that straight lines do not exist and all straight lines are curved actually; that is where Wissam Shekhani based his new "Circulo-Polygon" theory.

 

"Circulo-Polygon" is typical to the "Polygon" type but based on the spheroid theory. "Circulo-Polygon" is a plane figure (2-dimensional plan) that is bounded by a closed path or circuit, composed of finite sequence of curved circular lines instead of straight lines. These curves are called edges as well and the points where two edges meet form a circular corner instead of a sharp angle. A Circulo-Polygon has 2 types of edges:

Corner Edges and Side Edges (see figure)

 

The number of edges in a "Circulo-Polygon" is double than the number of edges in a "Polygon" and the angle formed by two edges meeting is straight (180°) opposite to a normal "Polygon" where the meeting edges form an angle that is never straight.

 

"Circulo-Polygons" corner edges are typical circles having always the same radius and the side edges are typical circles having always the same radius too; all are meeting in a straight angle 180°.

 

The word "polygon" derives from the Greek "Poly = many" and "Gonia = angle"; today a polygon is more usually understood in terms of sides. Wissam Shekhani added the world "Circulo" derived from the English word "Circle" to differentiate his new Polygon type.

 

In a Circulo-Polygon; all corner edges circle centers are located inside the body of the Ciculo-Polygon and all side edges circle centers are located outside the body of the Circulo-Polygon.

 

All existing Polygons will have their own Circulo-Polygons; example the Square has his Circulo-Square and the Triangle has his Circulo-triangle, etc…

 

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The Sphero-Polyhedron

 

In Geometry a Polyhedron is a geometric solid in three dimensions with flat faces and straight edges. The word polyhedron comes from the Classical Greek "Poly = many" and "Edron = base or face".

 

Wissam Shekhani had created the "Sphero-Polyhedron" geometry derived from his Circulo-Polygons. A Sphero-Polyhedron is a geometric solid in three dimensions as well, but with concave spheroid faces and convex spheroid corners and no straight edges at all.

 

All Sphero-Polyhedrons are shaped from a simple Sphere, molded and shaped to have the form of a Sphero-Pyramid or Sphero-Cube, etc….

 

As an Architect; Wissam Shekhani had introduced new geometric forms and additional norms to the Modern Geometry and Mathematic Sciences; creating a new resource for inspiration to the modern Architecture and an advanced creative volumetric invention.