Suman Vaze
Mathematical Artwork
Theorems & Constructions

Dragon Curve in Red
Acrylic on canvas, 2013
30" x 26"


Ice-cream on the Beach

(Abu Wafa Buzjani)

24”x20” Acrylic on canvas



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.



Bubbles in May

(Three Circles through a Point)

Acrylic on canvas 24”x24”, May 2010

If three circles of equal radii pass through a point, then another circle of the same radius can be drawn through the points of intersection of the three circles.



Sharing a Square

15" x 30"  Acrylic on canvas, 2008

How would you share a square pizza between any number of people (3 or 5 shown here) so that everyone gets an equal share of the crust?




Golden Ratio

15" x 30" Acrylic on Canvas


Pascal's Theorem  &  The Pascal Line
24" x 24" Acrylic on canvas,
February 2010
At the age of 16, Blaise Pascal discovered and published  his famous theorem entitled Essai pour les coniques.  The theorem states that if a hexagon is inscribed in a conic then the three points in which the opposite sides meet are collinear. The line is The Pascal Line. The above work shows The Pascal Line in a zig-zag inscribed hexagon.

A Form
24" x 24" Acrylic on canvas, 2010
The red rectangle is in the A Form ratio.  This construction shows how it can be constructed from a square.


 Golden Petals

(The construction of golden sections and the golden rectangle)

20" x 24" Acrylic on Canvas





 Abu' Wafa Buzjani's construction of an equilateral triangle in a square.

 24" x 30" Acrylic on canvas







Abu'l Wafa Buzjani's problem in Blue and Green.

Acrylic on canvas




Fermat Point

Acrylic on canvas

20" x 24"





To Divide a Line

Acrylic on canvas

20" x 30"







Acrylic on canvas

24" x 30"





Monge's Theorem

Acrylic on canvas

18" x 24"





Double or Nothing

Acrylic on canvas, 2009

30"x 30"







Acrylic on canvas, 2008

18" x 24.5"

The Holditch curve is generated by a fixed point on a chord of a curve as the chord moves around a convex curve.   



Sacred Cut
Acrylic on canvas, 2010
24" x 30"

The Sacred Cut was perhaps historically used to find a method to double the area of a given square. For example, in order to double the altar they could not simply double the sides.  The Sacred Cut gave a means to do it.  It produces the Silver Rectangle with ratio of sides 1:√2 which is used in A Form paper.  This work illustrates how to construct the Silver Rectangle or the Sacred Cut and also gives an impression of doubling both the rectangles and the squares.