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Tessellation of unlimited equilateral rhombuses

 If the acute angle of a rhombus is 90/N degrees, and N is an integer, then there can be N equilateral rhombuses whose acute angles are integer multiples of 90/N respectively. A standard drawing method with numerous variables, in which N equilateral rhombus can be tessellated into an infinite number of groups (kinds) of combinations of infinite pattern. There are four general rules of drawing, which are described hereafter.

The fourth rule is the most creative; all rhombuses are arranged in parallel and sequential order according to the size of their acute angles, as shown in Figure 5 (which is an illustration of a crescent). This crescent shape has two acute angles of 18 degrees, 18 obtuse angles of 162 degrees, and 20 sides of the same length. The minimum acute angle and the sum of all obtuse angles of the crescent side must be 180 degrees.  N can be 1, 2, 3, 4, 5... to infinity, and 90/N can be infinit decimals (When N is equal to infinity, the acute angle of the crescent is zero, and the other obtuse angles are 180 degrees. At this time, the two curves of the crescent are closer to forming a semicircle.

 

Tessellation of unlimited equi

 

Tessellation of unlimited equiTessellation of unlimited equi

 

 

 

 

 

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