Hopeful perseverance

Hopeful perseverance – this is the theme for this year. The tasks required to bring the vision of the Feedback Fractal Project to realization, I am learning, will require, unwavering perseverance in the face of formidable obstacles – and to do so with joy. Will the results be worth the effort? Well, the nature of this work is that, we won’t (can’t) know until it’s finished. That is why finding joy in the doing becomes essential.

Here is a digital image of the first sizable portion of the work we will call Parcel #1-1. To complete this portion of the work in 3 dimensions will require the fabrication of 25,600 folded paper Elements.

Here is a digital image of Parcel #1-1.

                                                Parcel #1-1 Digital   

                                               Parcel #1-1 Digital   


Here is the beginning of a full scale two dimensional analog mock-up.

                                                   Lower right quadrant of Parcel #1-1 Analog

                                                  Lower right quadrant of Parcel #1-1 Analog

The goal today is to finish the mock-up.

Julia & Mandelbrot

Gaston & Benoit

Mathematics is cumulative. That is, it is made from contributions of ideas from many individuals through time. Gaston Julia and Benoit Mandelbrot are both considered French mathematicians but lived very different lives and never met. Julia was born in 1893 and Mandelbrot in 1924. In 1918 Julia, at 25 years of age, published a 199 page paper entitled "Mémoire sur l'itération des fonctions rationnelles" which first described the iteration of a rational function. This article made Julia famous however, Julia and his work soon fell into oblivion since there were as yet no computers.

Benoit Mandelbrot was shown Julia’s paper in 1945 but was not impressed. In 1970, while working at the IBM Thomas J. Watson Research Center where there were lots of computers, he revisited Julia’s work and as part of his own research, wrote the first computer program to display Julia images which he termed Fractals. The rest is history.

Here is a video that illustrates their mathematical Connection


My Dearest Brother

My brother Paul (Paolo in Italian) and I have traveled different paths in life.

He is an accountant and his career was in finance. Throughout most of our adult lives, we inhabited different worlds. The exception was our sharing of the love of food - something we did often at our mother's house.

Since he retired a few years back, he is discovering his creative side. He developed a blog that holds the entire illustrated history of the extended Cortellini family infused with a copious number of examples and recipes of our family's culinary predilections. He has recently turned the recipes of the blog into a cookbook that is soon to be published. I applaud; great job - very creative.

Here is a link:  http://anconatothemidwest.blogspot.com/

He surprised me however when he volunteered himself and his lovely wife Roz to participate in Trial One of the Feedback Project. Here is a clip of what they had to say about their experience:

https://vimeo.com/76055702

The Feedback Fractal Project has opened a new chapter in our relationship. Their workmanship was of the highest quality, they have pledged a substantial sum to Kickstarter on behalf of the project and are spreading the word. Most gratifying to me is the fact that they have volunteered  to assemble a section as Artisans. Applause, Applause!