Mathematical Quilts

Some of my work...





Golden Rectangle 1 - 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.





Golden Rectangle 2 - The use of the 1 to 1.618 relationship found on the sides of the
golden rectangle are used in this quilt. This scene is one based on a visit to Giverny
and Monet’s Gardens. Artists throughout the ages have used the 1 to 1.618 proportion
to structure their art. Leonardo DaVinci, Durer, Seurat, Mondrain, Dali, Bellows, DeBussy,
and Bach are some of those artists.






Golden Rectangle 3 - Fiddle Dee Dee Golden Rectangle 3 is based on quilter
Maggie Walker’s design of Roseville pottery. The pottery was made in Ohio between the
years of 1910 and 1955. The pottery remains a collectible item. The interesting part of
designing this quilt was converting a square design into a golden rectangle. Many proportions
had to be altered to get the desired effect. The border of the quilt is New Zealand
fabric showing the flora and fauna of that country.






Golden Rectangle 4 - Chartres Cathedral labyrinth is an approximate golden rectangle.
The gothic cathedral, begun in 1145, has a labyrinth on its’ floor. The cathedral marks the high
point of French Gothic art. Pilgrims walk the labyrinth in reflection of their lives. A labyrinth has
only one path. The architect of this cathedral is unknown.





Golden Rectangle 5 - Blue-Breasted Hummingbird. The hummingbird was chosen because
of its’ interesting facts. The bird weighs about 3 grams. In normal flight the wing beats about
60-80 times per second. In courtship dives, up to 200 times per second. At rest, the
hummingbird’s heart beats at 250 times per minute. Incredible statistics!





The Music of the Genes quilt is based on the work of Jay Kappraff, Gary W. Adamson,
and Sergey V. Petoukov.   The codons that comprise the 20 amino acids are color coded according to the number of hydrogen bonds they posses and more. This powerful work shows the relationships between three seeminly different disciplines:  DNA, the music scales, and the Golden Ratio.



Some quilts are for sale - please contact Elaine at eellisonelaine@yahoo.com for more information and prices.