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Fibonacci Spiral

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Calculation | rafael-araujo

Gallery of Golden Ratio, Sacred Geometry and mathematical art by Rafael Araujo.

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Architectural Spirals

All these beautiful photographs were taken by other Flickr members. Their photostreams are linked to below. Please check out the full size photo for maximum enjoyment. All these photos are the property of the photographers linked to below. Enjoy. 1. St. Stephen's Basilica Stairway, 2. dSIGN, 3. Glory, 4. up stairs, 5. Spirograph, 6. The Shape of Things to Come, 7. Gazebo Spiral, 8. Chinese Gardens - Pagoda Spiral Staircase (top down), 9. Spiraling Stairs, 10. Spiral stair, 11. Slipping Chocolate, 12. Lighthouse spiral staircase from below, 13. The Tulip Stairs, 14. Lookin' down, 15. Spiral Staircase., 16. Spiral Clocktower - Escher Droste Created with fd's Flickr Toys

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The Golden Ratio in Art is One of the Coolest Things You'll Ever Encounter

The Golden Ratio in Art and Architecture, including a brief history of The Golden Ratio and a taste of the many artists influenced by The Golden Ratio.

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Katie T
Katie T saved to ink


Phi, or 1.618, is known as the golden ratio, and can be found throughout artistic composition and nature. It can be represented in the formula (a+b)/a = a/b = phi.This formula applies to the golden…

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Fibonacci Spiral Art by Grwobert on DeviantArt

A piece of art basted on the Fibonacci Spiral. The shape was drafted out in 6H pencil. The design was then drawn/painted with watercolour pencils. This ... Fibonacci Spiral Art

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SPIRALS IN THE WORLD AROUND US PLANTS SPIRAL PATTERN IN AN ARTICHOKE SPIRAL PATTERN IN THE UNFOLDING PETALS OF AN IRIS SPIRAL PATTERNS IN DAISIES AND SUNFLOWERS Spiral pattern in the structure of a pine cone SPIRAL PATTERN IN THE WAY LEAVES GROW AROUND A STEM THE FIBONACCI SPIRAL APPEARS IN THE PETALS OF A ROSE BROMELIAD FLOWERS Why do so many plants form a spiral pattern as they grow? Scientists and mathematicians have been asking this question for hundreds of years. The mathematics department at Smith College created a very informative online exhibit on plant spirals to help people understand this phenomenon. CLICK HERE TO TAKE THE SMITH COLLEGE PLANT SPIRAL VIRTUAL TOUR SPIRALS IN THE WORLD OF MATHEMATICS THE FIBONACCI SPIRAL In mathematics, the Fibonacci numbers are the numbers in the following sequence: 0,1,1,2,3,5,8,13,21,34,55,89,144,… The first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two. If you trace the squares of a piece of graph paper using the Fibonacci sequence you will create a pattern like this one: The side of each square equal the sum of the previous two squares. The squares become progressively larger following the Fibonacci sequence. Copy this pattern on to a piece of graph paper and continue to add squares, following this sequence until you run out of room. Next draw a spiral starting at the first number one and getting progressively larger as it arcs through each square. It should grow smoothly and touch two diagonally opposite corners on each square in the sequence. Congratulations! You have created your very own Fibonacci spiral. The rectangle that is formed by your Fibonacci sequence is known to mathematicians and artists as the golden rectangle. click here to learn more about the golden rectangle. CLICK HERE TO LEARN MORE ABOUT THE FIBONACCI SPIRAL WHAT IS THE CONNECTION BETWEEN THE SPIRALS IN PLANTS AND THE FIBONACCI SPIRAL IN MATHEMATICS? WATCH THESE VIDEOS TO FIND OUT Still confused? Click here to visit a website that does a pretty good job of explaining the math behind the videos you just saw. Warning: There is a great deal of misinformation about the Fibonacci spiral on the Internet. The Fibonacci spiral is not found in nautilus shells, ram's horns, spiral galaxies or spider webs. Occasionally, you might find a few numbers from the Fibonacci sequence in a ram's horn or a sea shell but no known animal consistently forms spirals in this manner the way plants do. Click here to visit an excellent website that debunks the most common myths about the Fibonacci spiral. Spirals are beautiful and amazing in their own right but they do not hold the key to all the secrets of the universe as some would have you believe. Enjoy them for their beauty and mystery and let them inspire you to create magnificent art. Watch this video of an artist drawing a rose: Click here for the first in a series of art assignments based on the spiral by the Helpful Art Teacher Would you like step by step directions for how to draw a rose? Click here. Would you like a simpler worksheet with step by step directions for how to draw a rose? Click here Printable Worksheets Art activities based on the Fibonacci Spiral by Rachel Wintemberg,The Helpful Art Teacher PRINT OUT THIS HELPFUL POSTER Incorporate the different types of rhythmic line designs into your spiral drawings to make your artwork more interesting to look at. The more detail you use, the more engaging your pictures will be. Click on the link below to see a diverse collection of spirals in art, architecture, computer generated design, sculpture and jewelry by many different artists. http://www.flickr.com/groups/spiral/ How will you use spirals in your art? Fibonacci Zoetrope Sculptures from Pier 9 on Vimeo.

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Golden Fibonacci Ratio Spirals Gold Section Proportion Vect

Golden fibonacci ratio spirals Gold section proportion vector visualization Spiral proportion golden section illustrationFiles EPS vector file for Adobe Illustrator or import into Photoshop High Resolution JPG

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