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Features

This curve has several interesting properties. For example, the intersection of a siluroid with the generatrix circle or with a goniometric circle with radius $n$, can be connnected by segments to generate several regular polygons.

Main Equilateral Triangle

By connecting with segments the three points of intersection of a siluroid with the generatrix circle we obtain an equilateral triangle.

Secondary Equilateral Triangle

Another equilateral triangle can be obtained by connecting the intersections of the normalized goniometric circle (radius $n$) with the rear arcs of the secondary lobes and the center of generatrix circle.

Right Triangles

If we connect together any point of both the front arcs (or rear arcs) of secondary and main lobes with the origin, we always obtain a right triangle with the right angle in the vertex corresponding to the origin.

Pentagon

By connecting the intersection of the normalized goniometric circle with the negative x-axis, the front arcs of the secondary lobes, and the rear arcs of the main lobe, we obtain a pentagon.

Hexagon

By connecting the intersection of the normalized goniometric circle with the x-axis, the generatrix circle, and the rear arcs of the secondary lobes, we obtain a hexagon.

My Profiles

The Siluroid

The Siluroid Curve and Me!