Fractals are becoming popular for when it comes to designing microwave and radio-frequency antennas thanks to their “self-similarity” that allows the antenna to better collect and focus broadband, ...
One transistor, just a pair of inductors and capacitors. Such a simple electronic circuit can become an oscillator with a surprising richness of behavior. However, even more interesting effects become ...
Remember Grant? The guy who gave out pumpkins on Black Friday? Well he’s back with a whole new game. He and his senior class made an eight-foot Sierpinski Triangle, a “a fractal and attractive fixed ...
(1) Recall the decomposition of the triangle into 4 smaller triangles of size 1/2 the whole triangle (as when we discussed the Sierpinski triangle). Number the small triangles 1 (bottom left), 2 ...
Fractals are geometric objects that are self-similar, i.e., you can break them apart into smaller pieces which are exact (but smaller) replicas of the original object. These smaller pieces in turn, ...
The mathematical characterization of patterns in Pascal's triangle is useful and can be achieved by a variety of brute-force computations, but sometimes at a cost of the loss of an intuitive feeling ...