The Text For Nature's Numbers - Numerical structure, beauty, and pattern
existed long before humans named the numbers. Studying patterns in nature
leads us to discover the Fibonacci numbers. The Italian mathematician
Eduoard Lucas, an eighteenth-century mathematician named the number pattern
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...the Fibonacci sequence, after Leonardo de Pisa.
The number pattern shows up in the plants in the quilt: the sunflower, the pineapple,
the coneflower, the pinecone, the leaf lettuce and the artichoke. When counted, the spirals in these plants are always Fibonacci numbers. The cross-section of the celtry
plant illustrates how nature uses the 137.5 degree angle in positioning stems on
the plant. The 137.5 degree angle is related to the Fibonacci numbers.
Magnetite and Hematite - safe drinking water is paramount to human survival.
Natural and anthropogenic sources of heavy metals reaching drinking water sources may lead to undesirable health effects of the human population. Current bulk treatment technologies do not adequately remove all heavy metals from solution, are expensive,
and use many resources. Nanoparticle metal oxides, such as hematite and magnetite, are being explored in environmental engineering applications for their metallic
characteristics and great aDsorbing capabilities. Synthesized in nature and in the
laboratory, metal oxides at the nanoparticle scale (one nanometer is one
billionth of a meter) may prove to be alternative, cost-effective,
environmentally-friendly and highly efficient reusable sorbents to remove
heavy metal pollutants from drinking water sources. The surface area to
volume ratio increases as the particles are brought down to nanoscale,
causing some of their physical properties (e.g. magnetism, sorption capabilities)
to be dramatically enhanced.
Tiled Torus - The work of John Sharp and Craig S. Kaplan at past Bridges Conferences inspired me to create Tiled Torus. The tiles morph from left to right along with morphing from the top to the bottom of the quilt. The parquet deformation turned out to be a design that would tile a torus. I noticed that the left and the right hand side of the design were continuous. This is also true about the top and the bottom of the quilt!
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.
Up-close of face.