ERICA'S NOTEBOOK
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    • ERICA, ERICA'S TREE (and a short history of Guiding) - June 14, 2018
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DYNAMIC SYMMETRY  ​

FIBONACCI SPIRALS

Picture

Erica's Original Notes 
Leonardo Fibonacci was born in Pisa in 1170 and lived until 1230; his father was a customs inspector in this city. During Leonardo's youth he travelled the Mediterranean trading, and it was at this time he became impressed with the Arabic system of numerals, as opposed to the cumbersome Roman numbers. Little is known about him except that he was an outstanding mathematician, who used his skills to solve many problems, one of which was to put order into the various arrangements in Nature. So we have this marvelous interrelationship of botany, mathematics and art called 'Fibonacci Spirals', seen best in the branches of trees that are of equal spacing in a circle as they mount, always the same according to family, thus ensuring that each leaf has the maximum exposure to light.

Branches that are arranged in the opposite manner are much less common and are found in dogwood, maple, ash and horse chestnut. The catalpa, we find, has whorls. The system carries on all through nature with spider webs and seashells. Leonardo Fibonacci was active in the commercial life of the State of Pisa, seeking solutions to everyday life, and we have to admire his gifts.

Useful Links:
  • How to create a Fibonacci Spiral

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Photo used under Creative Commons from ArturoYee
  • Home
  • Updates
    • What's New
    • Curator Updates
    • Garden Stories >
      • Garden Story Index
    • Self-Guided Tours
    • Walks & Talks >
      • Walks and Talks 2023
      • Walks and Talks 2022
      • Walks -Talks 2021 & Zoom Tips
    • PDFs of Updates, Tours, & Talks >
      • Self-guided Tours (PDF)
      • Gardener Walks (PDF)
  • Plant IDs
    • ID By Flower Color >
      • Red Flowers
      • Pink Flowers
      • Orange Flowers
      • Yellow Flowers
      • Green Flowers
      • Blue Flowers
      • Purple Flowers
      • White Flowers
    • ID By Type >
      • Annuals
      • Berries-Fruits-Nuts
      • Bulbs, Corms, Rhizomes, Tubers >
        • Bulbs
        • Corms
        • Rhizomes
        • Tubers
      • Ferns
      • Grasses
      • Medicinal Plants
      • Native Plants
      • Perennials >
        • Peonies
        • Salvias
      • Rhododendrons >
        • Rhodendron Erica Notes
      • Shrubs >
        • Calycanthus
        • Hydrangeas >
          • Hydrangea Background
        • Peonies >
          • Peonies-Overview
        • Rhododendrons
        • Roses >
          • Rose Background
      • Trees >
        • Conifers >
          • Cypress
          • Firs
          • Pines
        • Deciduous Trees >
          • Dogwoods
          • Ginkgos
          • Magnolias
          • Witch Hazels
        • Native Trees
        • Tree of the Month
  • In the Garden
    • Map and Collection Lists
    • Art in the Garden >
      • Symposium & Exhibitions
    • Building and Grounds >
      • Bridges
      • Formal Rose Garden Hardscape and Art
      • Grotto Area & Black Garden
      • Korean Pavilion
      • Maze
    • Gardener Assignments
    • Collections >
      • Ash Collection
      • Camellia Collection
      • Rhododendron Walk
    • Gardens >
      • Gardens A-D >
        • Alma VanDusen Garden
        • Backyard Bird Garden
        • Bentall Garden
        • Black Garden
        • Canadian Heritage Garden >
          • Bees
          • Canadian Heritage Orchard
        • Cascadia Garden
        • Cherry Grove
        • Chilean Garden
      • Gardens E-H >
        • Eastern North America Garden
        • Fern Dell
        • Formal Rose Garden
        • Fragrance Garden
        • Heather Garden
        • Herb Garden
        • Heritage Rose Garden
      • Gardens I-P >
        • Laburnum Walk
        • Livingstone Lake
        • Meconopsis Dell
        • Meditation Garden
        • Mediterranean Garden
        • Ornamental Grasses
        • Perennial Garden
      • Gardens R-Z >
        • Rhododendron Walk
        • Sino-Himayalan Region
        • South African Garden
        • Southern Hemisphere
        • Stone Garden
        • Vegetable Garden
        • Woodland Garden
    • Garden History >
      • History photos
  • Science
    • Animals & Insects >
      • Birds
      • Butterflies and Moths
      • Insect Friends
      • Small Creatures
    • Buds
    • Colour and Vision
    • Dynamic Symmetry - Fibonacci Spirals
    • Flowers
    • Fruit
    • Germination
    • Habitats and Environments
    • Hormones
    • Leaves
    • Life on Earth
    • Light, Energy, and Rainbows
    • Plant Calendars
    • Pollination
    • Pollen
    • Roots
    • Scents
    • Seeds
    • Soil
    • Stems
    • Vascular Plants
    • Web of Interdependence
    • Weeds
  • Bloedel
  • Search
  • About
    • ERICA, ERICA'S TREE (and a short history of Guiding) - June 14, 2018
  • Contact