Family Evolution

The "cubes and hexahedrons" family is, at present, the largest identified family in the collection. The inquiry began with the erosion of a cube by hexahedrons (A.035 and A.036). 

		
			"You start with a cube, you cut the corner off, .. 
			and you stick it back in the hole, and then ... 
			you cut the opposite corner off and turn that piece 
			around ... and shove it back in the opening, that 
			intersects with the first piece that you shoved in the
			other corner, so that you cut the opposite corners off, 
			you're going along the diagonal of the cube, 
			and you end up with a little cube inside."
The additive qualities of both the positive and negative components led to the building of larger structures (8.037 and 8.038).

			" ... and then I found out that those cubes would work 
			together to make a larger sculpture, if you varied them 
			A-B-A to get those bigger cubes ... all the corners are
			the doughnut, and all the intermediate pieces are the 
			negative, so its A-B-A, and you put those two cubes 
			together and you find that one's positive and one's 
			negative." [TAPE A - 1:12:45]
			
			" ... by changing A-B, I got the two different kinds of 
			cubes, and they end up being positive and negative ... 
			that just happened, I didn't know about these, and when 
			I found it, I was delighted.  And then I found out they 
			work together to make bigger structures, and that kind 
			of blew my mind." [TAPE A - 1:22:40]
The slicing of matrices, though formally divergent from the original line of thought, is similar in its desire to multiply to form larger structures. 
			"I'd been interested in architecture, and this is sort 
			of fantasy architecture." [TAPE A - 1:24:25]

It involves the cutting of a matrix by a three dimensional form. Early versions took the form of simple square-section matrices sectioned by a cube at 45 degrees to perpendicular. Greater complexity was explored by slicing a matrix with a rhomboidal section by a rhomboid. 

			"They're basically rhomboids ... rhomboids behave like 
			cubes ... so you kind of relate them to rectilinear 
			experience ... you can deal with them, and you get 
			pleasing results." [TAPE A - 1:06:10]
By cutting the matrix along different points and axes and by using both the positive and negative components a system of modular construction was developed.

MODELTITLEDESCRIPT.MED.SIZEQTVRQTMOVIEARTIST'S
WORDS

[A.035]		none2 fused hexahedrons (family generator)bronze-6"

[A.036]		cube minus 2 fused hexahedrons (family generator)bronze- 6"

[2.158]		cubic matrix differencepaper-6"

[8.037]		27 cubes minus cornerspaper+ 6"

[8.038]		27 cubes minus middlespaper+ 6"
[0.000]rhomboidal matrix differencepaper+ 6"