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

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**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. **"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.