The two radii r and R are so the parameters that identify the torus’ shape. The torus surface is generated by rotating a circle with radius r around an axis coplanar with the same circle, following a second circle of radius R. Some notion of goniometry and of tridimensional analytic geometry. In the article only elementary algebra is used, and the requirements to follow it are In this article I’ll discuss some properties of this curve, investigate its differences with the most renowned conic section, show how to build its general quartic equation, explore how a toric section can also be generated by intersecting a cylinder with a cone and finally describe how it is possible to represent it in the 3D Graphics view of Geogebra. Even if both surfaces are rather simple to define and are described by rather simple equations, the toric section has a rather complicated equation and can assume rather interesting shapes. The curve of intersection of a torus with a plane is called toric section. 01 – The torus-Plane Intersection simulation with Geogebra Overview
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