Shadow Conjectures and Dimensional Projections

dims
Stand a line on end, you have a point.
Stand a 2-dimensional figure on end, align 2 pairs of points, you have a line.
Turn a four-dimensional object on end, align 4 pairs of points, you have 2-dimensional object.
The conjectures carry this out to any N.  The third conjecture is clearly false; perform a mega-alignment of two four-dimensional objects (or one object separated in space over time), you have a 2-dimensional object.  But it will be interesting to see at higher dimensions where the conjecture might hold true.
Credit to BLW for the relation P = 2^(P-1) implied here.
Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s