Well, my mathematical wizard I’m taking you up on your generous offer of asistance with three questions below.
This is a blurb that explains Raphael Hynes method of constructing his paintings. He has a website with a sample of his paintings. http://raphaelhynes.com/
Raphael Hynes paints still-life objects from life. ‘He uses simple mathematical ratios to help place the objects within the picture. The paintings are built up slowly with small measured units. This method and these ratios are used in an attempt to give the still-life objects some emotional weight.’
1. Q. What is the mathematical formula for this ?
2. Q. Have you seen this mathematical formula used by other artists?
3. Q. What is the affect of using maths in the composition of a painting that is different from a composition that does not use a mathematical formula?
You will find the GeoGebra construction here: http://www.geogebratube.org/student/m31113 (same links here).
RH’s work reminds me of a talk I attended in the Chester Beatty Library (October 2010) by Tadashi Tokieda on the maths of paper folding (see https://www.dpmms.cam.ac.uk/~tokieda/Tokieda_links.html &http://www.flickr.com/photos/raphaelhynes/7991834089/in/photostream/)
Specifically, in answer to your questions:
1. There is not so much a ‘formula’ in RH’s work but a geometrical figure (the pentagram) and a number (the golden ratio), both covered in the links mentioned above. In addition to these, the work employs perspective, a device well-known since the time of Giotto (at least) and with elements going back to antiquity.
2. There are links to the work of Pacioli, da Vinci, Dali, for example. For perspective fully developed, consider Durer, for example.
3. The references to the pentagram and the golden ratio, link the work to classical mathematics, hundreds, indeed thousands of years old. Rooting works of art in such a rich tradition gives them a deep integrity, placing them in a well-established intellectual tradition.