Here are a few paintings (7" diameter) based upon geometry which I find interesting.
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.
To learn much more about the geometry and numerical wonders of
the Cosmological Circle diagram, please see The Dimensions
of Paradise by John Michell.
And learn step-by-step how to construct it in the Constructing
The Universe Activity Book Volume 5.
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 this New Jerusalem Diagram
is that when Pi (3.14159...) is approximated to 22/7 (3.14285...)
(a difference resulting in less than 2 feet in a mile), then a
"squared circle" arises; that is, a circle whose circumference
is precisely equal to the perimeter of its interlinked square.
Can you find the "squared circles" in the paintings
below, and in those above?
This same "squared circle" geometric
construction underlies the size relationship of the Earth and
Moon, having diameters relating as 11:3.
If the Moon could roll around the surface of the Earth, its center
would draw a circle whose circumference equals the square around
the Earth (averaged to a circle rather than the oblate spheroid
it is).
Although they're on slightly different scales,
can you see the correspondence?
The paintings below bring out the sevenfold (and 4x7=28) nature
of the construction. Notice how the painting seems to always be
moving.
Seven and Twelve are poles which long for each other within the
Cosmological Circle Diagram.
