My first doodles of Pascal’s triangle on graph
paper revealed an architectural form that I found irresistibly beautiful,
almost sexy. 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 Green is
based on digits from the first six rows of Pascal's Triangle. Blocks
of the same color represent each digit. 2 panels which make 1 rooftop
form equal 1 unit, so 5 ochre rooftop forms represent digit 5, etc.
Two triangles, one inverted, touch at their beginning digit. Bottom
triangle is constructed from 5x7 inch panels, the top from 5x5s.
Panels are joined at approximately 90 degrees so that each row looks
like an unfolded folded-book.
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.
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 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5
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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