Snowflake Spiral {; Snowflake Spiral ; Example A ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [1,1] , [-1,1] ] 0.500000 -0.500000 0.500000 0.500000 0.000000 0.000000 0.500000 0.500000 -0.500000 0.500000 0.500000 1.000000 0.000000 0.500000 } Horizontal Tiling {; Horizontal Tiling ; Example B ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [1,2] , [-1,1] ] 0.333333 -0.666667 0.333333 0.333333 0.000000 0.000000 0.333333 0.333333 -0.666667 0.333333 0.333333 2.000000 0.000000 0.333333 0.333333 -0.666667 0.333333 0.333333 1.000000 0.000000 0.333333 } 5-rep tile with symmetry {; 5-rep tile with symmetry ; Example C ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ 2,-1] , [1,2] ] 0.400000 0.200000 -0.200000 0.400000 0.000000 0.000000 0.200000 0.400000 0.200000 -0.200000 0.400000 0.000000 1.000000 0.200000 0.400000 0.200000 -0.200000 0.400000 -1.000000 0.000000 0.200000 0.400000 0.200000 -0.200000 0.400000 0.000000 -1.000000 0.200000 0.400000 0.200000 -0.200000 0.400000 1.000000 0.000000 0.200000 } 4-rep tile with symmetry {; 4-rep tile with symmetry ; Example D ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [2, -2] , [2,0] ] with B = [ [1,-1/2] , [0,sqrt(3)/2] ] 0.250000 0.433025 -0.433000 0.250000 0.000000 0.000000 0.250000 0.250000 0.433025 -0.433000 0.250000 1.000000 0.000000 0.250000 0.250000 0.433025 -0.433000 0.250000 -0.500000 0.866000 0.250000 0.250000 0.433025 -0.433000 0.250000 -0.500000 -0.866000 0.250000 } Gosper Snowflake {; Gosper Snowflake ; Example E ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [1 -2] , [2,3] ] with B = [ [1,1/2] , [ 0,sqrt(3)/2] ] 0.285714 0.247443 -0.247429 0.285714 0.000000 0.000000 0.142857 0.285714 0.247443 -0.247429 0.285714 0.500000 0.866000 0.142857 0.285714 0.247443 -0.247429 0.285714 -0.500000 0.866000 0.142857 0.285714 0.247443 -0.247429 0.285714 -1.000000 0.000000 0.142857 0.285714 0.247443 -0.247429 0.285714 -0.500000 -0.866000 0.142857 0.285714 0.247443 -0.247429 0.285714 0.500000 -0.866000 0.142857 0.285714 0.247443 -0.247429 0.285714 1.000000 0.000000 0.142857 } Terdragon {; Terdragon ; Example H ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [1,-1] , [1,2] ] with B = [ [1,1/2] , [0,-sqrt(3)/2] ] 0.500000 0.288684 -0.288667 0.500000 0.000000 0.000000 0.333333 0.500000 0.288684 -0.288667 0.500000 1.000000 0.000000 0.333333 0.500000 0.288684 -0.288667 0.500000 0.500000 0.866000 0.333333 } 4-rep tile {; 4-rep tile ; Example K ; "Fractal Tilings in the Plane" ; Darst, Palagallo, and Price ; Mathematics Magazine, Feb. 1998 ; M = [ [2,0] , [ 0,2] ] 0.500000 0.000000 0.000000 0.500000 0.000000 0.000000 0.250000 0.500000 0.000000 0.000000 0.500000 1.000000 0.000000 0.250000 0.500000 0.000000 0.000000 0.500000 -0.500000 -0.866000 0.250000 0.500000 0.000000 0.000000 0.500000 -0.500000 0.866000 0.250000 } Fractal Cross {; Fractal Cross ; Example 1 ; "The Area of Fractal Tilings" ; Breen and Palagallo ; Pi Mu Epsilon Journal, Spring 2003 0.400000 0.200000 -0.200000 0.400000 0.000000 0.000000 0.200000 0.400000 0.200000 -0.200000 0.400000 0.400000 -0.200000 0.200000 0.400000 0.200000 -0.200000 0.400000 0.200000 0.400000 0.200000 0.400000 0.200000 -0.200000 0.400000 -0.400000 0.200000 0.200000 0.400000 0.200000 -0.200000 0.400000 -0.200000 -0.400000 0.200000 }