Lilavati
Acrylic on canvas, 24"x20",
completed 2025
The questions that make up this artwork are taken from Bhaskaracharya’s book Lilavati, written in the 12th century. The Lilavati is a book on Arithmetic written in Sanskrit verse. Bhaskaracharya named this book after his daughter, Lilavati and many of the questions in the book are addressed to her. Lilavati must have been an extraordinary child to be able to answer the questions posed in the book.
Lucas
Acrylic on canvas, 24"x40", 2019
The French mathematician Eduard Lucas (1842-1891) is supposed to have given the Fibonacci Sequence (1,1,2,3,5,8,13,…) it’s name. The Lucas sequence (1,3,4,7,11,18…) has a similar growth pattern. Adding the digital roots of the Fibonacci and Lucas sequences gives surprising results. Lucas will probably remain the last mathematician to have found a Mersenne prime by hand. Interested in recreational mathematics, Lucas invented the game, Tower of Hanoi.
A Bouquet for Gauss
Acrylic on canvas, 2013
36" x 20"
I wanted to paint an homage to Carl Friedrich Gauss which captured an element of his extensive work in Mathematics. The four complex solutions to the equation, the fourth power of x is negative one, which was part of Gauss’ doctoral thesis, form the blossoms in the Bouquet. The largest blossom incorporates all four solutions.
Fermat Point
24" x 20", Acrylic on canvas, 2008
Galileo's Gem
Acrylic on canvas, 2011
24" x 24"
This work is dedicated to Galileo Galilei physicist, mathematician, astronomer, philosopher and general polymath. One of the many gems he noticed is that
Fibonacci Numbers
Acrylic on canvas, 2011
26" x 18"
The Fibonacci Numbers are 0, 1,1,2,3,5,8,13,21,34,55,89,.....
Omitting the zeroth term, the digital sums form a 24 term repeating sequence: 1,1,2,3,5,8,4,3,7,1,8,9,8,8,7,6,4,1,5,6,2,8,1,9.
Fibonacci
Acrylic on canvas, 2011
32"x20" 32"x 32"
Klein Madonna
Acrylic on Canvas, 2011.
30" x 20"
The Klein bottle is one-sided, no-edged, with an outside but no inside. In theory this transformation is possible but no such physical bottle has been made without self-intersection. It seems a fair reflection of my emotional state at the moment.
Desargues
Acrylic on canvas, 2009
30" x 20"
If two triangles (in red) are in perspective, then pairs of corresponding sides meet at three points which are collinear. Two triangels are said to be in perspective if lines joining corresponding vertices meet at a point.
Abu Wafa Buzjani
(Ice-cream on the Beach)
Acrylic on canvas 2011.
24" x 20"
Abul Wafa lived in Buzjan, modern day Iran between 900 and 998. He wrote several treatises on Euclid, Diophantos and Al-Khwarizmi. He is best remembered for the puzzles he created on dissection with the use of only a straight edge and a pair of rusty (fixed opening) compasses. In this puzzle, you have to construct the largest possible equilateral triangle in a given square.
Pythagoras
Acrylic on canvas 2008
30" x 24"
More coming soon