Basic programming using BASIC-256 https://basic256.org/, use the online documentation https://doc.basic256.org/
Using the graphics output and measuring the execution time.
The code: test256.kbs
The IDE of BASIC-256 with the program:
The output saved to PNG by the program:
Drawing a Julia fractal. The code takes about 21s to complete. It calculates half of the fractal and plots the other half from the same data using symmetry.
The code: julia.kbs
The output saved to PNG by the program:

Drawing a circle using only addition, subtraction and integer division.
The main loop:
x=1024: y=0 # initial values
do
x = x - y\32 # using integer division
y = y + x\16 # new value of x has to be used
x = x - y\32 # 3rd step to reduce phase error
plot(x,y)
until x=1024 and y=0 # until back to initial values
The integer division by powers of 2 could be done using bit shift to the right also.
Using info from: "Drawing Circles · Hrvoje's Blog"
The code: minsky.kbs
Attempting to simulate a double pendulum using BASIC-256.
Using equations found at: https://www.physics.usyd.edu.au/~wheat/dpend_html/
The code: double_pendulum.kbs
A GIF screen recording of the animation:
This algorithm generates an image of a fern.
Using information from the wikipedia article
It applies 4 possible transformations on the coordinates of a point x,y. The probabilities of these four being choosen differ for transformation.
The following code is iterated many times, each iteration one out of four tranformations are applied and one point is plotted.
r = rand() # value between 0 and 1
begin case # choose 1 out of 4 possible transforms
case r < 0.01 # probability 1%
xn = 0.0
y = 0.16 * y
case r < 0.86 # probability 85%
xn = 0.85 * x + 0.04 * y
y = -0.04 * x + 0.85 * y + 1.6
case r < 0.93 # probability 7%
xn = 0.2 * x - 0.26 * y
y = 0.23 * x + 0.22 * y + 1.6
else # probability 7%
xn = -0.15 * x + 0.28 * y
y = 0.26 * x + 0.24 * y + 0.44
end case
x = xn
call plotpoint(x,y,xscale,yscale,hw,h)
The code: barnsley_fern2.kbs
The generated image:
Made using the new BASIC-256 version 2.1.0
While exploring Javascript with P5.JS, I came op with these simple animations.
After learning online that a function like
sin(pi*x)+sin(4.5*x)
is not periodic I made this animation which uses this function for the x and y coordinates of points but evaluated at different regions.
I ported them to BASIC-256 to give the new incarnation of this BASIC version a try. I had forgotten a lot and the online help was very useful.
The code: non-periodic.kbs non-periodic_polar.kbs






