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Topic: Manipulatives
Replies: 45   Last Post: Jun 30, 2006 3:12 AM

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 Kirby Urner Posts: 4,713 Registered: 12/6/04
Re: Manipulatives
Posted: Jun 25, 2006 2:56 PM

> This language game is a result of mathematical
> l collaborations, especially between Chako and de
> Jong: four non-orthogonal base vectors,

Tom Ace took it to a new level. I also dialoged with John Conway (Princeton) on geometry-research about it, but may no longer have the links.

> face-bond to form a lattice of space-filling units
> called Couplers of 8 MITEs apeice (MITE = AAB+ or
> -BAA, where AA = +AA- or -AA+).
>

This is of course nomenclature from the synergetics namespace, pioneered by R. Buckminster Fuller.

For the last several years, I've been advocating alerting kids to the importance of the Tetrahedron (a shape) in both Bucky's research, and that of Alexander Graham Bell.

Both RBF and AGB made contributions of lasting positive significance to our living standards. A lot of their work was in the area where pure geometry intersects architecture and engineering. That's a good space to explore in K-16, starting really early (like whenever Dutch kids start learning about dikes).

Speaking of XYZ, we generally make a Z coordinate be "altitude" on planet earth, with X and Y marked out in arcing trapezoidal sections (latitude vs. longitude). The XY plane is the high desert, with Z boucing in and out as a laser traces vertical depth.

When I speak of "hexapent jargon" I'm talking about another way of wrapping the earth in a grid pattern, using concentric layers of hexagons, anchored by 12 pentagons, and with the Z axis pointing up through hexagonal "mine shafts" connecting each surface hex (and pent) to the earth's center.

Or maybe we let these concentric balls rotate independently and at different frequences (zero frequency is just an icosahedron). Lots of ways to go here, lots of cartoons to share.

Glenn Stockton of Arizona, senior fellow at ISEPP, is currently spearheading this project in Portland (he calls it the Global Matrix), with encouragement from various Silicon Forest executives, plus other operatives, who appreciate the aesthetic potential of such graphical displays. I'm sure others are competing to get their products out first.

In any case, I see lots of good branding opportunities. Like, my 4D Studios is definitely angling for a piece of the action, perhaps as a subcontractor.

Kirby