My first doodles of Pascal’s triangle on graph
paper revealed an architectural form that I found irresistibly beautiful,
almost sexy. And it curiously fit the proportions and feeling (the
expanse) of the low, wide walls in the top gallery. The triangle
form was reminiscent of a bridge, an architecture I equate with
building of civilizations and society. When I coupled two of the
bridge forms in a mirror relationship, I saw a small section of
a strand whose form could speak to an internal architecture or code
of some sort of organic entity, a microscopic code enlarged.
Identity Sequence Pascal’s Triangle Red is based
on digits from the first six rows of Pascal's Triangle. Blocks of
the same color represent each digit. Two triangles, one inverted,
touch at their beginning digit, locking the two halves together.
The individual units, which look like little tunnels, are joined
end to end, alluding to organic strands while retaining their strong
sense of architecture.
Also, focusing on how the material process parallels
identity construction, I crocheted all the units in this group to
be the same. Each single unit used the same stitch and the same
number of stitches to produce a mass of individuals who began exactly
the same but by enduring the steps within this material process,
the cookie cutter units took baby steps towards individuation. There
are many opportunities within each process step to lose control
of the form and distort each unit in its own unique way. Upon first
look, the small units that assemble to create the one large body
seem the same, but in actuality, no two units are.
Pascal’s Triangle
is a big triangle of numbers. The two major areas where Pascal’s
Triangle is used are Algebra and Probability where it can be used
to find combinations. Triangular numbers and the Fibonacci numbers
can also be found in Pascal’s triangle.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5
1
Start out with the top two rows as 1, and 1
1. To construct the next line down, look at the two entries above
it, the one above it and to the right and the one above it and to
the left, and then place 1 at the far right and 1 at the far left.
For example, if constructing the line below ( 1 3 3 1 ), ( 1+3=4,
3+3=6, 3+1=4 ), add the 1 at each end and you have ( 1 4 6 4 1 ).
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