The Knife:
A Dimension Splicer
by
Adam Russell Halvorsen
Harvard University
and the
Geometry Center
Minneapolis, Minnesota
	The  fourth dimension is an intriguing space, home of complex
figures literaly beyond the imagination.  Although it is impossible to
`see' even the simplest of these objects in their totality, it is
necessary to cheat, and either project their entire images down onto
three-space or take three dimensional cross sections of the objects,
and by viewing an animation of adjacent cross sections get an idea of
what the entire object looks like.  One of the greatest barriers in
looking at these objects lies in the difficulty of `openning them up`
so that their three dimensional cross sections can be observed.
4DKnife.ma is a Mathematica package written to see and study these
fascinating objects in a variety of ways taking a very understandable
yet powerful new approach.  Included files are:

4DKnife.ma: 
	The actual dimension splicing program, a package designed
to look at the fourth dimension.

4DKnife.doc:
	Instructions, theory behind program, and explanation of primary
algorithms and code.  Provides motivation to use program.

4DKnife_examples:
	A few commonly used objects are defined to help get the user
started including:
	hypercube, cube, tetrahedron, simplex, octaplex, truncated hypercube.
 
