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				The figure below shows a right triangle ABC with AA1 
				and AA2 
				trisectors of angle BAC, similarly CC1 
				and CC2 
				trisectors of angle ACB. AA1 
				meets CC2 
				and CC1 
				at C3 
				and B1, 
				respectively. AA2 
				meets CC2 
				and CC1 
				at B2 
				and A3, respectively. Prove that triangle A1B2C1 
				is an equilateral triangle.
 
				 
 
 
 
      Art of Geometry Problem 1115 using Mobile Apps. Light 
	  Patterns.
                
                 
 
      Art of Geometry Problem 1115 in Motion. Light patterns
                
		                
				Click on the figure below. 
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