Mathematics Arts Project

                    Mathematics Art Assignment
                                                                   Spirolateral Activity                          ( Paramvir Singh)
John Critchett’s Algorithmic Digital Art
Spirolaterals are spiraled, structured designs, based on repeated series of commands, using lengths and angle. These have been becoming an intrinsic part of mathematical art. Our group worked on John Critchett’s Algorithmic digital art. It was very new experience, especially for me. John Critchett mentioned the formula 2X (mod 7) for the first design, by using the length of succeeding line segments and turning angle was 120 degrees. When we worked on that equation, it did not satisfy the whole design. Then, we sent an email to the designer who recommended us a different algorithm equation 2+X (mod 7) which produced the figure that is shown on the top right corner. Still we could not reach to the actual published work. After trying many sequences, we located the algorithm equation (2+x) mod 13, which worked very well and proved the whole design tree. This modified formula recreated the big image which was required. For the first design, we had 1,3,5,7,9,11,2,4,6,8,10,12 line segments and these line segments turned on 120 degrees, 0 degree and -120 degree with straight lines. In the same way, the given formula was 3X (mod 8), which was switched to a new formula (3+X) mod 8, could produce the required design.

The extension of this structure is also possible even if we create semi circle turns which we are going to produce in our project. Secondly, after six turns, the same process of structure is true for mod 19 which satisfy the whole process as well. I mean (3+X) mod 19. Overall, it is an amazing technique to bring the children near to the mathematical art. Teachers move away from the traditional way to encourage students, whereas students participate more actively. They have fun by using geogebra. They learn angle rotations, line segments and some other possibilities of rotations artistically.

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