Suman Vaze
 
Mathematical Artwork
 
 
Theorems & Constructions
 


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




Green Dragon
Acrylic on canvas, 2013
24" x 36"




City Dragons
Acrylics on canvas, 2013
36" x 26"




 

Ice-cream on the Beach

(Abu Wafa Buzjani)

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.

 
 
 
 

 
 
 
 

Bubbles in May

(Three Circles through a Point)

Acrylic on canvas, May 2010

24" x 24"

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

2009

 
 
 
 
 
 
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

2009

 


                                                                                                 

  

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

 24" x 30" Acrylic on canvas

2008

 

 

 


 

 

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"

 

 

 
 

 
 

 
 

Pythagoras

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"

 

  


 

 

 

Holditch

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.