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Monday, August 24, 2015

Pentagon pattern for the field design with no gaps

Three mathematicians from the University of Washington Bothell managed to solve the complicated logarithmic equations to find the design uses a pattern that can cover the entire surface of the field perfectly, without gaps or overlaps.
Five stars! The pentagon tiles are all identical. The colouring shows how they tile the plane when arranged in identical groups of three. (Picture from: http://bit.ly/1N68WNv)
The research team consisted of a professor of Mathematics Casey Mann, accompanied by his wife an algorithm Jennifer McLoud-Mann and a student of David Von Noise was finding a design pattern to form a pentagon or areas of the five with the groove in such a way that not only can be used to cover surface well, but also can be used to manufacture the design build, even for use in the field of biochemistry.
The 15 types of pentagonal tilings discovered so far.. (Picture from: http://bit.ly/1N68WNv)
The pattern they create is the 15th pentagon pattern that have been found. Previously, mathematicians have proven that the pattern of triangular and quadrilateral, or any field with four sides can seal the surface without a gap. Hexagon pattern was also shown to cover the surface well.

It has been 30 years since the last time a perfect pentagon pattern is found (the 14th pentagonal design found by Rolf Stein), and finally the three mathematicians of the University of Washington is able to solve the mathematics complicated riddle to make a pattern with five sided field or pentagon. *** [EKA | FROM VARIOUS SOURCES | THE GUARDIAN | NATIONAL GEOGRAPHIC]

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