>>703841) phi(x), angle of 100, starts at plotting 1 at 90 degrees.
if (number) mod 4 = 1 or 2, position 90 degrees,
else (number) mod 4 = 3 or 0, position 270 degrees
100 mod 4 = 0 thus 100 plots at 270 degrees.
b) position of 100 for phi(x) pi/2 -> 90 degree turn
starting again at 90 degrees, thus
if (number) mod 8 = 1 or 2, then position at 90 degrees
else if (number) mod 8 = 3 or 4, then position 180 degrees
else if (number) mod 8 = 5 or 6, then position 270 degrees
else (number) mod 8 = 7 or 0, then position 0 degrees
100 mod 8 = 4, thus position 180 degrees
c) 100 phi(2/3 pi) 2/3pi=> 120 degree turns starting at 90 degrees, thus 3 turns all the way round
if (number) mod 6 = 1 or 2, then position 90 degree
else if (number) mod 6 = 3 or 4, then position 210 degree
else if (number) mod 6 = 5 or 0, then position 330 degree
100 mod 6 = 4, thus position 210 degrees
d) pi/3=>60 degree turns, 6 all the way round, again starting at 90 degrees
(number) mod 12 = 1,2 -> 90 degree
(number) mod 12 = 3,4 -> 150 degree
(number) mod 12 = 5,6 -> 210 degree
(number) mod 12 = 7,8 -> 270 degree
(number) mod 12 = 9,10 -> 330 degree
(number) mod 12 = 11,0 -> 30 degree
100 mod 12 = 4 thus position is 150 degrees
Of course I'm able to solve this.
Billions mvst do maths.