Eastern White Pine, Pinus strobus, needles against a background of sun sparkling off a windy lake in Michigan, USA

© 2010 William Neill. All Rights Reserved. (Available for licensing and purchase)

Blog - www.williamneill.com/blog

Site - www.williamneill.com

Follow me on Twitter

or Facebook

This photograph is not in the public domain. It may not be used on websites, blogs, or in any other media without explicit advance permission from William Neill.

Please no graphics in your comments or invites. Thank you!

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Black Oak leaf and ice on a vernal pond in Woodland Park and Nature Preserve in Battle Creek, Michigan, USA

Pachypodium baronii var windsori texture of the trunk.

#CU #CUGreenhouse #UniversityofColorado #botany #macro #macroplant #macrophotography #pachypodiumbaronii #pachypodium #baronii #windsorii #texture #pattern #patternsinnature

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Maple tree bark.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

One of the images for my Photography class final project - Patterns in Nature. I looked at different types of patterns, like migration, foot traffic, erosion, etc.

EXPLORED! 29 Nov 2012, #288

Ropy Pahoehoe lave in fanciful forms in the Kalapana area of Puna District, Big Island, Hawaii, USA

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

I see a long-eared owl:). And two little black birds.

Chain Fruit Cholla, Opuntia fulgida

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Week 6 of the 52 Week Challenge on Facebook, and I found this tree on Sullington Warren near Storrington, intrigued by the spiral pattern up the oak tree trunk. Presumably caused by a vine type plant climbing up and around sometime in the past.

Coccothrinax salvatoris is a palm native to Cuba.

#Coccothrinaxsalvatoris #Coccothrinax #salvatoris #palm #pattern #PatternsInNature #CubaFlora #CU #CUGreenhouse #UniversityofColorado #botany #macro #macroplant #macrophotography

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Low tide on Shi Shi Beach in Olympic National Park, Washington State, USA

As you know, I love patterns found in nature. I took this photo of a fallen tree last month. I love the design made by the wood grain

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

This texture is free to use in your personal or commercial work, but you may not reshare, distribute, or claim/imply it to be your own. For more great textures visit T4L

Although not necessary, it would be nice if you let me know if you have used my texture, by linking back to this page, or posting a l ink to your creation in the comments.

Ain't No Mountain High Enough | GrfxDziner.com

PatternsInNature | flickr HiveMind...

fiveprime.org/hivemind/Tags/PatternsInNature

qwikLoadr™ Videos...

Shrek | Smash Mouth I'm a Believer! • YouTube™

All Star | Smash Mouth ...World Cup (nikefootball) • YouTube™

________________________________________

check out this blog too from the

Deanna Cremin Memorial Foundation:

Function of Form • Patterns in Nature....

GrfxDziner.com | Blogger gwennie2006:

http://gwennie2006.blogspot.com/2010/01/function-of-form-patterns-in-nature.html

.

Sia | I'm in Here Official! • Vimeo™

17 (3 of 3) of text to accompany tutorials.

the Function of Form...Part Four Patterns in Nature

Automatic Download of 3-Page tutorial in .PDF format:

Functions of Form Part Four: Patterns in Nature | PDF file • GrfxDziner.com

Check out these blogs from the

Deanna Cremin Memorial Foundation:

Function of Form • Patterns in Nature....

GrfxDziner.com | Blogger gwennie2006:

gwennie2006.blogspot.com/2010/01/function-of-form-pattern...

Window Pane • Reflections on glass...

GrfxDziner.com | Blogger gwennie2006:

gwennie2006.blogspot.com/2010/01/window-pane-reflections-...

_____________________________________

Search: Tutorial • flickr.com - Recent Uploads, gwennie2006

Some links for the Golden Proportions and related things.

These ratios and proportions are everywhere in nature:

Fibonacci Numbers In Flowers and Nature

Fibonacci Numbers Wolfram Math World

Golden Spiral Relative to Fibonacci numbers

Golden Proportion Introduction

Fibonacci Numbers | GrfxDziner.com

.

Ripples catching sunlight on the surface of Mitchell Creek, Clay Cliffs Nature Area in Big Rapids, Michigan, USA

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.

Seven to nine year olds discover mathematical patterns found in sunflowers, pine cones, and throughout nature while learning about a famous mathematician and exploring the Enchanted Garden. Held at the HCLS Miller Branch.