posted in 2010 (early edit)

(selecta)

january
01/02/10 posted in ’09 partial contents
01/07/10 lovely dark and deep math ed zine debut
01/19/10 prehistory of MEdZ, part i really of the ten page news
01/27/10 Photo 96 Math Ed Zine #1

february
02/02/10 dekist’s hot shelves photo
02/07/10 January 2010 rambling self-annotation
02/08/10 the domestic arts in the age of digital distribution part i first of the DAADD photo series.
02/11/10 daadd part ii photo of madeline

march
03/04/10 more than 4K characters for sue v.
03/05/10 threehundredsixtyfive days music update
03/09/10 yet another crosspost: from adj-l autobiographical snippet
03/11/10 like it’s twenty-eleven verse
03/25/10 why i don’t live at the p.o. anti-gov’t screed
03/27/10 i’m not there “reimagining economics” thread

april
04/04/10 a petri-disch community my life in schools
04/07/10 the swirling beachball of doom more “life in schools”
04/10/10 madeline’s front room (with guitarist) selfportrait
04/10/10 not for auction this machine kills fascists

may
05/07/10 pascal’s triangle (so-called) MEdZ #0.8 p.7
05/20/10 it said there’d be some thunder at the well i ching
05/20/10 stop me if you’ve heard this more pp. from #0.8

june
06/26/10 i’m not there imminent death of the net

november
11/23/10 now here’s something you’ll *really* like… and a bunch more “lectures without words”.

to be continued.
see also:
Vlorbik on Math Ed (partial contents)
the n-page news lyrics and other non-bloggy writings

slight change in format

to (a) the finite Points
(of P_2; these are
lines-of-finite-slope
in F^3) and (b) the
“Line at infinity”
consisting of the
*vertical* F^3 lines,
we have now added
(c) the “Point at infinity”
(in the lower-right-hand
corner of the diagram).
voila.

here it is again obfuscated by graphics

note the “pac-man topology” effect.
the three finite Points (clusters of
nine dots *above* the dotted line)
running down the middle column
*all* depict “lines of slope one”
but this is only obvious when one
has become used to “wrapping
around” at opposite edges.

note how the dots in the middle Point
proceed “up and to the right”.
now look at the Point below this one.
starting at the left-hand edge, we
again see the up-and-right move
but then “vanish off the top of the
screen” to “reappear at the bottom”
(like pac-man or many another
video icon… likewise, when a point
“vanishes off the right edge”,
it “reappears” at the left…).
from an algebraic point of view,
all this is a consequence of
“working mod 3”.

the zero slopes along the left edge
and the “infinite” (vertical) slopes
along the bottom are of course
much easier to make out.

just remember [2]+[2]=[1] and we’re all set

pp. 2 & 3 of the newly-minted .

the (linear) equations above the line
will turn out to correspond to “finite points”
of the projective space of the title;
the algebraically-alert will easily confirm
that these are the lines (in )
having “finite slopes”. the x = A
lines can then be thought of as
having *infinite* slope (and represented,
just as in R^2 [ordinary real 2-space],
by *vertical* lines). here come the
next couple pages.

(the icon by my finger, for now,
indicates only that these three
latest points “have something
in common”… a hint of things
to come.)

origin of species

MEdZ 0.9.1 pp. 2, 3.

there’s no place like home… there’s no place like home…

the camera on madeline’s computer still works.

“now here’s something you’ll *really* like”… “that trick *never* works”

i’m actually kind of reluctant to post this;
it’s probably the best idea i’ve had since
i started making up lectures without words
and now it’ll be easy to steal. you saw it
here first.

the Big triangle is made up of seven Little triangles.
each Little has seven Points. moreover the Points
of each Little (considered as subobjects of their Little)
are arranged in the same pattern
as the Littles themselves are (considered
as subobjects of Big).

pick any Little and call it L1.
there are three dark points in L1.
find the three Littles that correspond
to these three Points.

(for example, let L1 be the lower-left Little;
the three Littles i refer to now run along
the right side of Big [just as the dark Points
run along the right side of L1]).

the three Littles in question are then
precisely those in which the Point…
P1, say… that corresponds to L1
(considered as a subobject of Big)
is dark. i’ll be here all week.

(it’s better with the handwaving.)

perhaps *this* will refresh your memory

pages 4 & 5 of MEdZ #0.9.

trying again dammit

Photo on 2010-11-23 at 14.05

Originally uploaded by vlorbik

the camera built into legion (= my mac-book)

broke a few months back (or the software

decided to mess with me… what amounts

to the same thing). so i haven’t been posting

photos. but my office at Big State U has a mac

and it turns out i still remember how (to make ’em

and to post ’em in this rather clunky way).

what we have here… but what *belongs*

in MEZB (i *told* you it was clunky)… is

a picture of the theorem

(“the two-dimensional projective space constructed

on the field with five elements is isomorphic to its own

dual space”).

i put it in a zine recently (along with diagrams for

and ;

is left as an exercise).