THE NEW KOCH TUBERCULIN.

Robert Koch and the pressures of scientific research: tuberculosis and tuberculin.

Robert Koch's identification of the tuberculosis pathogen in 1882 is held to be his greatest scientific achievement. In the eyes of his friend and colleague, Friedrich Loffler, the discovery was a "world-shaking event" which resulted in both instant and everlasting fame, turning Koch "overnight into the most successful and outstanding researcher of all times".' Paul Ehrlich, remembering Koch's ...

Computability of Koch Curve and Koch Island

Koch curve is known as a typical self-similar set on Euclidean plane. Koch island is a closed set surrounded by three copies of Koch curve. We investigate them from the viewpoint of computability. In this paper, we define computability of a curve and that of a closed set as an application of classical computable analisys to Euclidean spaces and show that Koch curve is a computable curve and bot...

Robert Koch

New Escape Time Koch Curve in Complex Plane

Von Koch curves allow numerous variations and have inspired many researchers and fractal artists to produce amazing pieces of art. In this paper we present a new algorithm for plotting the Koch curve using complex variables. Further we have applied various coloring algorithms to generate complex Koch fractals.

Vibration of the Koch drum

The Koch snowflake is a well known self-similar set whose boundary is a fractal curve. Suppose a vibrating membrane with fixed boundary, i.e. a drum, is shaped like a Koch snowflake. The fundamental modes of vibration of this drum can be modelled by the eigenfunctions of the Laplacian on the snowflake. These, in turn, can be approximated by a discrete problem leading to a matrix eigenvalue prob...