### Songs For Beginners: Pascal’s Triangle

(:={

):=}

**********************************

()

(),(a)

(), (a) (b), (a.b)

(),(a)(b)(c),(b.c)(a.c)(a.b),(a.b.c)

*******************************

X

|\

0+

()

(),(a)

(),(b),(a),(b.a)

(),(c),(b),(c.b),(a),(c.a),(b.a),(c.b.a)

***********************************

January 5, 2010 at 9:15 pm

more in this vein:

exercises at random (12/03/09)

January 11, 2010 at 11:43 am

I don’t ‘get’ the first verse.

January 12, 2010 at 6:28 pm

i’m replacing the usual “{”

and “}”… for ease of typing…

with “(” and “)” [and lightly

mocking myself with a little

“ain’t type fun” stab-at-humor;

it looks like a smily, see?!

;0

oh well.].

the symbol “:=”

means “equals by definition”.

the actual handwritten notes

occur in the context of

*more instances* of this

same symbol.

readers of the zines are (implicitly)

invited to guess what the heck

anybody would want to go and do anything

like put a colon in front of an equal sign for.

[

actually in practice, there’ll very likely be

somebody standing by that can hardly wait

to tell ’em. anyhow this has been the case

in the few instances that’ve taken place so far…

and it was very clearly the case here again.

thanks for asking (and now aren’t you sorry).

]

“lectures without words”.

the trick is to get stuff that *seems almost*

to explain itself. get ’em hooked…

get ’em *talking*…

January 16, 2010 at 6:38 pm

“A good line drawing

has the minimum number

of lines still adequate

for recognition. It is,

in a sense, the best

for mathematical illustration

because it leaves the most

space for decorations to be

applied by the user.”

http://www.scribd.com/doc/14009839/George-K-Francis-A-Topological-Picture-Book-1988-213p-0387964266