Suman Vaze
Mathematical Artwork
Number Sequences
These paintings are inspired by number sequences.

Concatenated Square Numbers

30" x 18", Acrylic on Canvas, 2011

I was fiddling with some numbers one afternoon and started with a string of square numbers 1,4,9,16,25,36,49,….pulling and pushing them around to see how they behaved. I decided to concatenate them 1,14,149,14916,1491625,149162536,….These quickly became too big for me to handle so I then cut them down to size by taking their digital roots 1,5,5,3,1,1,5,6,6,7,2,2,9,7,7,2,3,3,4,8,8,6,4,4,8,9,9... and realised that they form a beautiful repeating sequence. This work is inspired by the 27 terms which form the repeating sequence. There is light at the end of the tunnel.


24 Sums of Fibonacci
26" x 18", Acrylic on canvas, 2010
The digital roots of the Fibonacci Sequence repeats after every 24 terms and the repeating sequence is 1,1,2,3,5,8,4,3,7,1,8,9,8,8,7,6,4,1,5,6,2,8,1,9.


The 9 Digital Roots of Triangle Numbers
24" x 26", Acrylic on canvas, 2011
The Triangle Numbers 1,3,6,10,15,21,28.... have digital roots which are always 1,3,6 or 9.  In fact, they form a repeating sequence of the following: 1,3,6,1,6,3,1,9,9...


Meditations on Symmetry
36" x 30", Acrylic on canvas, 2012

The Triangle Numbers 1,3,6,10,15,21,28....are an increasing sequence. Concatenated triangle numbers are 1,13,136,13610,1361015, 136101521,....another increasing sequence. The digital roots of the concatenated triangle numbers generate the repeating sequence 1,4,1,2,8,2,3,3,3,4,7,4,5,2,5,6,6,6,7,1,7,8,5,8,9,9,9,... This work is a meditation on that repeating sequence.


Pentagonal Numbers
20" x 18", Acrylic on canvas, 2011

Hexagonal Numbers
24" x 26", Acrylic on canvas, 2011

Heptagonal Numbers
34" x 24", Acrylic on canvas, 2011

Octagonal Numbers
20" x 18", Acrylic on canvas, 2011
The Octagonal numbers are 1,8,21,40,65,96,133,176,225,280,341,408,481,560,645,736,833,936,1045,1160,...
When the digital roots are taken, they form a repeating sequence1,8,3,4,2,6,7,5,9,...

More to come...