Thursday 15 April 2010

Kepler Triangle





Last Wednesday Jan Andriesse gave me a A4 sheet of paper with the construction of the Triangle of Kepler and the rectangle where the triangle is the half part from. The ratio of the edges of a Kepler triangle are linked to the golden ratio and can be written approximately as 1 : 1.2720196 : 1.6180339. The German mathematician and astronomer Johannes Kepler (1571–1630) expressed in the following quotation his deep fascination for the Pythagorean theorem and the golden ratio: "geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratio. The first we may compare to a mass of gold, the second we may call a precious jewel".









Four photo's of the evolution of the same drawing with the construction of the triangle of Kepler. Next week the drawing will evolve into a more complex drawing. I think it is going to be a first drawing of a series of drawings where the palimpsest principle of drawing and scratching, of creation and destruction, will be practised.

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