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Leaf

2016-06-11, post № 128

art, haiku, poetry, #anim gif, #animated, #animated gif, #cliff, #fall, #foliage, #gif

A leaf on a tree
gets blown away by the wind
and falls down a cliff.

leaf.gif

Cycloids

2016-06-04, post № 127

mathematics, programming, Pygame, Python, #circle, #circles, #curve, #cycloid, #epi, #epicycloid, #geometry, #hypo, #hypocycloid, #rolling, #trace

A cycloid is the curve generated by tracing a point on a smaller circle rolling around an bigger circle.
The word cycloid comes from the greek word “κύκλος” meaning “circle”. There are epicycloids and hypocycloids (smaller circle located above and beneath the bigger circle).
The cycloid is determined by the ratio between the two circle’s radii k=\frac{R}{r}.
More information can be found on this Wikipedia entry.

cycloids-8_k2.1_hypo.png
cycloids-9_k2.1_epi.png
cycloids-14_k7.2_hypo.png
Source code: cycloids.py

Sierpiński TIrangle

2016-05-28, post № 126

BASIC, mathematics, programming,

Using the same method used in my previous Sierpiński Triangle program, which is written in Python, I wrote a fractal generator for my graphing calculator TI-84 Plus in BASIC.

sierpinski-tirangle-2.png
sierpinski-tirangle-4.png
sierpinski-tirangle-9.png
Source code: sierpinski-tirangle.basic
Jonathan Frech's blog; built 2021/04/16 20:21:20 CEST