Here are a few of my recent paintings (7" diameter) based
upon geometry which I find interesting.
[All images copyrighted (c) 2006 Michael S. Schneider]
These first two are based upon the archetypal twelve-around-one geometry of the north Rose Window at Chartres Cathedral:
This next group is based upon the geometry of the Cosmological
Circle Diagram, a supreme image of harmonious order, integrating
the numbers one through twelve.
If you look carefully, you might see geometric expressions of
each of the twelve numbers.
(If you'd like to learn much more about their geometry and numerical
wonders, please see The Dimensions of Paradise by John
Michell.)


The following group are based upon the geometry of The New
Jerusalem Diagram, which is the central portion of the Cosmological
Circle paintings above.
A central feature of The New Jerusalem Diagram is that when Pi
is approximated to 22/7, then a "squared circle"
arises; that is, a circle whose circumference is precisely the
perimeter of its interlinked square.
Can you find them in the four paintings below, and in the three
paintings above?
The third painting in this set below also brings out the sevenfold
nature of the construction. Notice how it seems to be always on
the move.
Seven and Twelve are poles which long for each other within the
Cosmological Circle Diagram.



