It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch. The Koch snowflake can be built up iteratively, in a sequence of stages.

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Apr 13, 2012 · By tracing a smooth curve through the (red) 'dots' series of iterated mutant triangles, I would develop - what looks like - a kind of logarithmic spiral, or a wave or pulse if this spiral curve was viewed in the front elevation view as opposed to the plan elevation (above).

Sep 30, 2016 · A new fractal curve along with its iterative function system based on Koch curve is proposed and used for the miniaturization of Fibonacci spiral antenna (FSA). This curve possesses semicircular sections so as to maintain the symmetry with quarter circular sections of …

Oct 3, 2018 · The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a mathematical curve and one of the earliest fractal curves to have been described.

Aug 11, 2018 · This study proposes a unique methodology of reducing the footprint of logarithmic spiral antenna with the help of suitably scaled fractal known as modified Koch curve.

Replace each straight line on the bump by a Koch curve. Replace each FORWARD command by a recursive call. Scales and Angles can be selected randomly. Each FORWARD command can be replaced by a different FRACTAL program. Fractal programs can be connected with TURN and FORWARD transitions.

3 days ago · The Koch snowflake is a fractal curve, also known as the Koch island, which was first described by Helge von Koch in 1904. It is built by starting with an equilateral triangle, removing the inner third of each side, building another equilateral triangle at the location where the side was removed, and then repeating the process indefinitely.

Koch fractal curve is superimposed onto the Fibonacci spiral antenna for 2 iterate to examine the extent of miniaturization. The final prototype which is miniaturized by 41% exhibits similar broadband behavior and attributes as that of the Fibonacci spiral antenna.

Nov 13, 2019 · The Koch curve is generated by choosing Previously I’ve studied cases where and the resulting image possesses central symmetry, unlike the Koch curve (see my Day008 post for examples).