Fibonacci
FibonacciMapleII-3-150126

Fibonacci Maple II- Sugar maple leaves carved in Fibonacci Spirals----SOLD

FibonacciMapleII-8-150126

Fibonacci Maple II- There are 5 spirals of leaves in one direction and 3 in the other.---SOLD

FibonacciMapleII-10-150126

Fibonacci Maple II- Sugar Maple. 6”H x 9”D. Kyrlon Matte finish----SOLD

LeonardosTribute-6-130524

Leonardo’s Tribute- A tribute to Leonardo Pisano Bigolio, otherwise known as Fibonacci----SOLD

LeonardosTribute-14-130524

Leonardo’s Tribute----SOLD

LeonardosTribute-17-130524

Leonardo’s Tribute- Ash, bleach, Krylon
9"W x 6.5"H----SOLD

FibonacciVase-3-120923

Fibonacci Vase- A more symmetrical vase with 21 spirals in each direction----AVAILABLE

FibonacciVase-6-120923

Fibonacci Vase- A bit of artistic license since usually the number of spirals are not the same in nature----AVALIABLE

FibonacciVase-5-120923

Fibonacci Vase- Ash, 6.75” W x 7.75” H, Inks, liming wax, Krylon----AVAILABLE

FibonacciMaple-9-120122

Fibonacci Maple- A vessel carved with 5 spirals of maple leaves in one direction and 3 in the other----SOLD

FibonacciMaple-5-120122-2

Fibonacci Maple- My wife claimed this piece for herself----SOLD

FibonacciMaple-7-120122-2

Fibonacci Maple- Bleached sugar maple, Krylon, 6”H x 9”D----SOLD

FibonacciBirch-55-140323

Fibonacci birch- A piece turned from birch and carved with birch leaves arranged in 2 opposing spirals in a fibonacci pattern.----SOLD

FibonacciBirch-44-140323

Fibonacci birch- Birch burl, Waterlox. 6.5” H x 9”D----SOLD

Perforated-6-140126

Perforated- Turned wooden vessel carved with a Fibonacci arrangement of holes. 5 spirals in one direction and 8 in the other.----AVAILABLE

Perforated-20-140126

Perforated- Box Elder burl, Inks, Waterlox, 7.75"H x 6"D----AVAILABLE

FibonacciTorus-3-130405

Fibonacci Torus- A one sided (non-orientable) 8,5 torus knot. The base is carved with opposing spirals, 3 in one direction, 5 in the other.----SOLD

FibonacciTorus-2-130405

Fibonacci Torus- Torus- Curly maple, stain, Bush oil, 7” x 1.75”. Stand- Maple, Leather dye, wax, 10.5” tall with stand----SOLD

ConicInversion-37-120923

Conic Inversion- A minimal surface with 2 intersecting Fibonacci spirals.----AVAILABLE

ConicInversion-38-120930

Conic Inversion- Ash, 7” W x 5” H, Acrylics, bleach, Krylon
Stand- Compwood, 12” deep x 11” H, India ink, Krylon----AVAILABLE

FibonacciWormhole-6-120218-2

Fibonacci Wormhole- Hyperbolic curved vessel with 8 spirals on the outside.----AVAILABLE

FibonacciWormhole-8-120218

Fibonacci Wormhole- Figured Birch, 8” square x 4”H, Oil----AVAILABLE

FibonacciWormhole-10-120218

Fibonacci Wormhole- The inside has 34 spirals in one direction and 55 in the other.----AVAILABLE

IfYouDare-6-110825

If You Dare- Inspired by Saglione cacti which exhibit Fibonacci spirals. 13 spirals in one direction, 21 in the other.----SOLD

IfYouDare-7-110825

If You Dare- Maple, Acrylics, Bleached birch for the spines, 7”H x 5”W----SOLD

Parastichy-8-110115

Parastichy- A catenoid minimal surface (one of the simplest) pierced with 2 opposing spirals, 21 in one direction and 34 in the other. These are numbers that are part of the Fibonacci series.----AVAILABLE

Parastichy-5-110115

Parastichy- Box elder, acrylics, Fixatiff, 7” D x 8.5” H----AVAILABLE

ParastichyII-2-131011

Parastichy II- A vessel turned from Birch Burl with smooth lumps arranged in Fibonacci spirals with 13 in one direction and 8 in the other.----AVAILABLE

ParastichyII-7-131011

Parastichy II- Birch Burl, Bush Oil
7” D x 6" H----AVAILABLE

Phylotaxis-3-120301

Phylotaxis- A vessel with 8 spirals carved in each direction----SOLD

Phylotaxis-5-120301

Phylotaxis- Mulberry, 8” W x 5” H----SOLD

FibonacciSunburst-1-090110

Fibonacci Sunburst- Loosely based on the Fibonacci series of numbers.----AVAILABLE

FibonacciSunburst-37-090621

Fibonacci Sunburst- Chakte Viga, Pao Amarillo, Bloodwood, Ebony and Curly Maple, 17h x 18"d----AVAILABLE

Lobelia-1-080807

Lobelia- Inspired by a photo of a giant Lobelia plant. 13 spirals in one direction and 21 in the other.----SOLD

Lobelia-26-090619

Lobelia- Walnut, 6.75”H x 4.5”W, Waterlox finish-SOLD

PineconeBox-11-100128

Pinecone Box- All pinecones exhibit Fibonacci symmetry. This box is based on one with13 spirals in one direction and 8 in the other.----SOLD

PineconeBox-6-090619

Pinecone Box- Macassar ebony, 7”H x 3.5”D, Waterlox finish----SOLD

Fibonacci Series

I stumbled onto the fact that the Fibonacci sequence of numbers occurs frequently in nature when I embarked on making Lobelia. I had been intrigued by the spiraling symmetry of a photo of giant Lobelia I saw on the National Geographic and decided website.  The photo was a shot of a giant lobelia taken straight down on it.   I loved the symmetry and the spirals in the plant.   After looking at it for quite a while, I decided that I had to do a piece based on the plant. Closer inspection revealed to me that it had 13 spirals of leaves in one direction and 21 in the other. I was puzzled about these numbers for a while until my wife suggested they be an example of the Fibonacci series. I knew instantly that she was right, and began my exploration of how often this series of numbers occurs in nature. Pinecones, pineapples, sunflowers, many flowers and seashells are all examples of the expression of this series of numbers occurring in nature.

The
Fibonacci series is a series of numbers that starts with one, and the next number in the series is the sum of the previous two as in 1, 1, 2, 3, 5, 8, 13, 21, 34....  The higher up in the sequence, the closer two consecutive numbers of the sequence divided by each other will approach the golden ratio (approximately 1 : 1.618). The series was named for a well known Italian mathematician that described it about 1200 AD, although it was known to Indian mathematicians as early as the 6th century.

I find it fascinating that the series shows up so frequently and beautifully in nature. I love the symmetry that results from the combination of 2 or 3 spirals of adjacent numbers of the sequence, usually in a spiral pattern. That it shows up in such diverse variety of plants makes it even more intriguing.