ModularTimesTables

Python script for generating modular times tables with matplotlib and gif

Usage Tips:

the variables at the top (coeff,radius,modulus,itval,end_c,style) make it simpler to change those values while experimenting

ShowSingleTable(c,r,m,style=solid,live=True,dots=False) will plot out a single table line by line

the left number shows the current number (place), the bottom number shows place multiplied by c in mod m
live can be set to false to just print the final image

ShowSingleTable3D(c,r,m,style=solid,live=True,dots=False) works exactly like the original but plots in 3D space

the current number is placed on the bottom circle and a line is drawn to the mod on the top circle

AnimateTables(c,r,m,i,e,style=solid,dots=False) will produce times tables and put each one as an individual frame in a gif

this will print out the coefficient as it builds the tables and then export a gif in the current directory

AnimateTables3D(c,r,m,i,e,style=solid,dots=False) is also the same as the original but in 3D

Table Variables

c (the coefficient) is the number to multiply by
r (the radius) determines the size of the circle
m (the modulus) is the amount of points on the circle
i (the iteration value) is the amount c changes each frame
e (the end coefficient) determines how many frames will be in the gif

style is the style of line to use (solid,dot,dash,loose_dash,dashdot,etc.)
  if no style is given it will default to solid
dots can be set to True to plot the points of the circle

By default, these examples are commented out and the default example is above them

the default example uses the variables at the top (coeff,radius,modulus,itval,end_c,style)

Examples:

179(c) mod 360(m) something neat happens when the coefficient is (modulus/2)-1, try these two examples and see the difference

ShowSingleTable(179,1000,360)
ShowSingleTable(179,1000,360,loose_dash)
ShowSingleTable3D(81,1000,360)

gifs of tables in mod360(m) with radius of 1000(r) from 0(c) to 10(e) with c increasing by 0.01(i) each frame until it reaches e with dash lines and dots

AnimateTables(0,1000,360,0.01,10,style=dash,dots=True)
AnimateTables3D(0,1000,360,0.01,10)

Other neat single patterns are:

41 mod 360, 36 mod 360, 90 mod 360, 180 mod 360, 270 mod 360, 269 mod 360