Date: Oct 27, 2013 3:29 PM
Author: kirby urner
Subject: Re: Gnu Math Construction
Re: GNU Math Construction

http://mathforum.org/kb/message.jspa?messageID=4951585#reply-tree

As a follow-up to this Jul 2006 thread, in Oct 2013:

http://worldgame.blogspot.com/2013/10/book-of-rhombs.html

The perpendicular rhombs described above in connection with

the Coupler and rhombic dodecahedron are given animated

treatment as a part of a multi-part Youtube series.

Director: K. Urner Screenwriter: D. Koski.

In this series, the idea of a Rhombic Book, two triangular

book covers symmetrical about a spine, and a page flapping

back and forth, another below at 180 degrees (optional), is

used to introduce three tetrahedrons:

(a) the one comprised of a left book cover and the page

(b) the one comprised of a right book cover and the page

(c) an "inadvertent one" comprised of the two varying

lengths at 90 degrees and opposite one another, other

lengths same as rhomb's.

(a) + (b) + (c) assemble a topological IVM in a way

described in the vids.

Also (a), (b) and (c) are all of same volume as one

another, though as the page revolves they cycle through

a minimum / maximum.

These concepts help reinforce / anchor some of the other

animations and demos we've been touring.

Kirby Urner

Oregon Curriculum Network