Waldman has developed an ALEPH that propagates to fill an "aleph." In mathematics, the aleph is now universally accepted to represent countable and uncountable sets. The symbol was selected by Georg Cantor from the first letter of the Hebrew alphabet. His work sparked one of the greatest discussions in late nineteenth century philosophy. This led to the "New Math" and evolution of set theory abounding in 1960-70s.
However, the inspiration for this particular work came later and is attributed to John Shier. In 2010, Shier introduced the concept of statistical geometry and addressed the question,
We say that the shape is 'fractalized,' such that the size distribution of the objects appears to be self-similar at all scales.
See < http://john-art.com > .
Copyright Notice: This animation and all images within are under copyright by Cye Waldman and may not be copied, electronically or otherwise, without his espress permission.
Dr. Cye Waldman
A Less Formal Explanation for Non-mathematicians:
< http://www.coopertoons.com/education/diagonal/diagonalargument.html >
Other Waldman contributions to the NCB:
Sinusoidal Spirals: < http://curvebank.calstatela.edu/waldman/waldman.htm >
Bessel Functions < http://curvebank.calstatela.edu/waldman2/waldman2.htm >
Gamma Funcions < http://curvebank.calstatela.edu/waldman3/waldman3.htm >
Polynomial Spirals and Beyond < http://curvebank.calstatela.edu/waldman4/waldman4.htm >
Fibonacci and Binet Spirals with a touch of Mondrian < http://curvebank.calstatela.edu/waldman6/waldman6.htm >
"Other" Fibonacci Spirals and Binet Spirals < http://curvebank.calstatela.edu/waldman7/waldman7.htm >
< http://curvebank.calstatela.edu/waldman8/waldman8.htm >
< http://curvebank.calstatela.edu/waldman9/waldman9.htm >
< http://curvebank.calstatela.edu/waldman10/waldman10.htm >
The NCB thanks Dr. Waldman for his strong contibutions.