Mathematics Art Assignment


Spiroleteral activity

We chose John Critchett work in algorithmic digital art.
In my mathematics learning experience, I had not come across Spiro laterals, so it came as excitement and fun to search more about it and find what it is.  I realize that it is a spiraled, structured designs based on a repeated series of commands using lengths and angles.  Creating Spiro lateral math art involves the construction of graphs to teach patterns and sequence.  Spiro laterals range from very basic to elaborate, depending on the angle used and some models.  I found out that, the simplest Spiro lateral is a square using its right angle's turn with a 1,1,1,1centimetre number sequence.  I have since realized that it’s such an excellent tool for making children love mathematics and enhance numbers and operation skills.
In the algorithmic digital artwork, we had chosen, the given formula of 2x(mod 7) in the first design could not create and complete design using the lengths of succeeding line segment and turning angle of 120 degrees as per the instructions.  One of us, therefore, sent an email to the designer who gave us a different formula (2+ x) mod 13 which worked very well and proved the whole design correct.  This modified recipe 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 segment turning on 120, 0, -120 with straight lines.  In the same way, the given formula for the second artwork of 3x(mod 8), switched to a new formula (3+x) mod 8.  The extensions for both structures are possible by creating semicircle turns.

Teachers can quickly make learning activities very comfortable and enjoyable by the use of Spiro laterals.  I highly recommend the use of Spiro lateral activity in finding solutions to questions on patterns, number sequence, or series.  Learners are free to explore further and make more discoveries as they are engaged in the activity.  Students are also able to share their own experiences and make conclusions since some numbers do not make a perfect close.

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