Medieval Math, Khayyam-Pascal

Medieval Math, Khayyam-Pascal

above: Khayyam-Pascal; detail

Medieval Math, Khayyam-Pascal, 2015

In Khayyam-Pascal installation, 2015-2016, I screen-printed layers of mathematical diagrams and binomial coefficient (numbers), Khayyam’s mathematics manuscript page and Sierpiński’s triangle patterns on 160-360 hand-cut felt triangles. The pyramid pattern of the installation resembles Pascal Triangle. In mathematics Pascal triangle is a triangular array of the binomial coefficients. It is named after the 17th century French mathematician, Blaise Pascal. However, the 12th century Iranian mathematician, Khayyam, had studied it centuries before Pascal. Through this installation I pay homage to both mathematicians.


Khayyam-Pascal, 2015, silkscreen on 160 hand-cut felt triangles and magnets, 10 x  4 feet
InSpace Curatorial Gallery, San Francisco, CA
(The gallery is in Pacific Felt Factory building which was a former felt factor in the San Francisco Mission that was renovated into a gallery and studio spaces for artists)


Khayyam-Pascal, 2015, silkscreen on hand-cut felt triangles and magnets, 10 x  4 feet


Khayyam-Pascal, 2015, silkscreen on 160 hand-cut felt triangles and magnets, 10 x  4 feet


Khayyam-Pascal, detail


Khayyam-Pascal, 2016, silkscreen on 360 hand-cut felt triangles, 7 x 16 feet, California State University, Stanislaus


Khayyam-Pascal, 2016,  California State University, Stanislaus


Khayyam-Pascal, installation in process


Khayyam-Pascal, 2016, silkscreen on 144 hand-cut felt triangles, 8 x 10 feet, West Wing Gallery, Seattle, WA

Khayyam-Pascal, 2016, laser etched wood triangles and screws, mock-up for a permanent installation, 69″x 40″

Khayyam-Pascal, laser etched wood triangles, detail


Blaise Pascal’s version of the triangle                                                                Rows zero to five of Pascal’s triangle

“At around the same time, it was discussed in Persia (Iran) by the Persian mathematician. It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048–1131); thus the triangle is referred to as the Khayyam-Pascal triangle or Khayyam triangle in Iran”


The pattern obtained by coloring only the odd numbers in Pascal’s triangle closely resembles the fractal called the Sierpinski triangle

Khayyam-Pascal as part of Punctum Caecum series has been exhibited in a solo exhibition in March 3-25, 2016 at California State University, Stanislaus, Turlock, CA and in a group exhibition in InSpace Curatorial Gallery in SF, CA in November-December, 2015