**Bach's Jesus bleibet meine Freude** - A four-point perspective:

Elizabeth Ahlgrim, a harpist in the Indianapolis area, posed for this quilt. Playing the Bach piece on her pedal harp was quite a delight to hear. The curvature of the harp and harpist is due to the four-point perpsective grid. This four-point perspective places two three-point perspective grids together.

**Fablous Fibonacci Flowers** - A five-point perspective.

**Perspective of Paradise** - This 6 point perspective was inspired by Dick Termes

and
his work on perspective systems. The 6 point perspective originates from

utilizing two 5 point perspectives, each of l80 degrees, and placing them back
to back.

The newly created artwork is a 360 degree view of paradise. The 6
vanishing points

on the flat surface are found by using north, east, south, and
west positions.

The 5th and 6th vanishing points are achieved by adding a point
at the

center front position and center back position.

**Atmospheric Perspective Golden Rectangle at Giverny** - It is difficult to pinpoint

the time of origin of the golden rectangle,
but most certainly the Golden Rectangledates

back to at least 1,000 B.C. Descartes
studied the golden rectangle thoroughly in 1638.

Jaques Bernoulli was fascinated by its’ properties also. His statement “eadem mutata resurgo” refers to the fact that the angle formed from the tangent to the curve remains at a constant angle throughout. The spiral inscribed in the Golden Rectangle 1 quilt is an approximate logarithmic spiral. This is a great example of an atmospheric perspective.

**Greco Roman Perspective Mathematical Harmony** - Music, like mathematics, has an

abstract notation that is used to represent abstract structures. Like mathematics,

the notation has developed over the centuries. "Military Polonaise" by Chopin can be found

in the background of this quilt. The four major instrument groups are represented

by the violin, the b-flat clarinet, the piano, and the double french horn. The Greek mathematician Pythagoras (c. 569 B.C.E. - c. 507 B.C.E.) is credited with discovering

the harmonic progression in the notes of the music scale by finding the musical

intervals and the pitch of the notes corresponding to the relative length of vibrating strings. He discovered that if a string was plucked in a 1:2 ratio, an octave is obtained. Similarly,

a fifth is obtained from a 2:3 ratio, and a fourth by a 3:4 ratio.