Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Common Core snippet a little distressing
Replies: 73   Last Post: Jul 26, 2013 6:27 PM

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 Joe Niederberger Posts: 4,657 Registered: 10/12/08
Re: Common Core snippet a little distressing
Posted: Jul 17, 2013 12:24 PM
 Plain Text Reply

R Hansen says:
>Thus, it isn't a mapping of volume like the cube.

Kirby is right, the holes are octagons that can be subdivided into (non regular) tetrahedrons.

But your word choice (mapping of volume) resonates with my comment about coordinates. Looking at something basic like the wikipedia page on tetrahedrons shows all the math there is based on rectilinear coordinates. I would guess that generally the rule for the various programs that compute tet meshes and what-not, but that's just a guess. When the rubber hits the road (computing) the little cubes win.

I don't really see this as cubic space *versus* tet space, its both...and... If you are interested in tensegrity structures (a B.Fuller coined word, which Google spell check is not recognizing!) tetrahedrons are obviously going to be important, and all these facts Kirby brings up will be relevant. In other pursuits too, I'm sure.

But it seems the underlying math will be generally be what we are all used to, all that conventional stuff.
Or, prove me wrong, I'm no expert here, just a guess.
But that's why I said I don't see this as a whole "branch" of mathematics, the way Kirby put it.

Assigning unit volume = 1 unit sided tetrahedron may make some calculations easier, so why not?

Cheers,
Joe N

Date Subject Author
7/13/13 Peter Duveen
7/13/13 Robert Hansen
7/13/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/15/13 kirby urner
7/14/13 Wayne Bishop
7/14/13 kirby urner
7/14/13 Wayne Bishop
7/15/13 kirby urner
7/15/13 Robert Hansen
7/15/13 Christian Baune
7/15/13 kirby urner
7/16/13 Wayne Bishop
7/16/13 kirby urner
7/14/13 Wayne Bishop
7/14/13 Joe Niederberger
7/15/13 Joe Niederberger
7/15/13 Joe Niederberger
7/15/13 Robert Hansen
7/15/13 kirby urner
7/15/13 Robert Hansen
7/16/13 kirby urner
7/16/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/15/13 CCSSIMath
7/16/13 Joe Niederberger
7/16/13 Robert Hansen
7/16/13 kirby urner
7/17/13 Joe Niederberger
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 kirby urner
7/17/13 Robert Hansen
7/18/13 Wayne Bishop
7/17/13 Joe Niederberger
7/17/13 Joe Niederberger
7/17/13 Robert Hansen
7/18/13 Wayne Bishop
7/18/13 Joe Niederberger
7/18/13 kirby urner
7/18/13 Joe Niederberger
7/20/13 kirby urner
7/19/13 Joe Niederberger
7/19/13 kirby urner
7/19/13 Joe Niederberger
7/19/13 Joe Niederberger
7/20/13 kirby urner
7/21/13 Joe Niederberger
7/23/13 kirby urner
7/24/13 frank zubek
7/24/13 frank zubek
7/24/13 kirby urner
7/25/13 frank zubek
7/25/13 kirby urner
7/25/13 frank zubek
7/25/13 frank zubek
7/25/13 frank zubek
7/26/13 frank zubek
7/26/13 frank zubek

© The Math Forum at NCTM 1994-2018. All Rights Reserved.