Spirals, spirals, spirals

#### Fibonacci Spirals, Sacredgeometry, Sacred Geometry, Nature S, Fibonacci Sequence, Golden Ratio, Golden Rectangle

#### A golden rectangle is one where the length and the width are in the golden ratio or phi, approximately 1:1.62. It is thought to be a more aesthetically pleasing or ideal rectangle. It occurs in nature in the form of leaf and seed patterns, sea shells, storm systems and galaxies. It even occurs in DNA | #SacredGeometry #HeiligeGeometrie |

#### Fibonacci Sequence Sacred Geometry, the golden ratio or mean and phi point ratio The same ratio Vitruvius saw in the human body – 1 to PHI (1.618) – exists in every part of nature, from swimming fish to swirling planets. This divine ratio, or divine proportion, has been called the building block of all life.

#### Spirals in Nature Demonstrating the Fibonacci Number ('Golden Mean' or 'Golden Ratio) #GoldenRatio

#### The Fibonacci sequence displayed in nature. Phi. The golden spiral. 1,1,2,3,5,8,13,21,34,...

#### Sacred Geometry... The Golden Ratio in nature, the fibonacci sequence, nature again, amazing

#### Sacred Geometry... The Golden Ratio in nature :) - Investors Europe Stock Brokers Gibraltar

#### Sacred Geometry... The Golden Ratio in nature. (Fibonacci sequence)

#### <3 Sacred Geometry... The Golden Ratio in nature :)

Patterns in nature – repinned by www.earthangel-fa...

#### Nature Form, Cactus Plants, Nature Spiral, Natural Pattern, Patterns In Nature, Natural Forms Plants, Nature Patterns

#### Fibonacci Patterns in Nature | Patterns in nature – repinned by www.earthangel-family.de

#### Patterns in nature – repinned by www.earthangel-family.de supernatural

#### God's Own Design..... beautiful cactus plant.

#### Patterns in nature, lovely and amazing.

#### Patterns in nature – Sacred Geometry

#### Patterns in nature – #spiral

#### Fractal patterns in nature.

#### patterns in nature

#### Fractal Patterns

spiral(s)

#### White Texture, Choral Texture, Tiny Shells, Textures Patterns, Patterns Textures, Natural Texture, Texture Patterns

#### MnM: Natural texture with loads of softness warmth and encapsulation. think soft white rosebud bed, swaddling blankets, etc.

#### Shell - This looks like it would be thousands of teeny tiny shells...

#### #textures #Iphone #wallpapers #texture #pattern #wall .

#### Seashell, #Pattern, #Texture, #Art, #Nature,

#### White shells. (Unable to find photog info)

#### #white #texture

#### nature. texture

#### Spiral shells

#### coral texture

fibonacci

#### Spiral Patterns, Fibonacci Spirals, Broccoli Spirals, Fractals Fibonacci, Patterns In Nature, Fibonacci Sequence, Fibonacci Numbers, Nature Patterns

#### An example of a Fibonacci sequence making spiral patterns in nature. This is also a fractal because each floret is an identical but smaller version of the whole thing & this makes the spirals easy to see. #spiral #geometry #angle

#### An example of a Fibonacci sequence making spiral patterns in nature. This is also a fractal because each floret is an identical but smaller version of the whole thing & this makes the spirals easy to see. - kartio on samanmuotoinen kuin monesti luonnossa esiintyvä heksagoni eli 8-tahokas, kts. Geologia-tauluni.

#### fibonacci spiral images in nature | The Fibonacci Numbers and Golden section in Nature - 1

#### Romanesque Broccoli Fractals in nature make me amazed! It's the fibonacci sequence!

#### fibonacci | ... Fibonacci sequence. It is an example of the Fibonacci numbers in

#### An example of a Fibonacci sequence making spiral patterns in nature.

#### Fractals . Fibonacci Numbers

#### romanesque broccoli spirals

#### spiral patterns in nature

Sacred Geometry - repinned by www.earthangel-fa...

#### Sea Shells, Sacred Geometry, Nautilus Shells, Pearly Nautilus

#### The chambered nautilus grows at a constant rate and so its shell forms a logarithmic spiral. Sacred Geometry

#### In mathematics, the Fibonacci numbers, series or sequence are the numbers in the following integer sequence: 0, 1, 1, 2, 3, 5, 8, 13, called the Golden Spiral, and is illustrated in these shells.

#### In mathematics, the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence illustraed in these shells. the sequence 0, 1, 1, 2, 3, 5, 8, 13....Called the Golden Spiral. I remember learning about this in a 2006 Awake!

#### sea shell fine art pebbles Edward Weston Weston photography Nautilus Shells

#### Golden Spirals: Edward Weston Nautilus Shells, ca.1947 Kodachrome

#### Sacred Geometry of the Nautilus Shell

#### 2 spiral shells: chambered nautilus

#### nautilus #seashells

#### She sells Seashells

The Sunflower is a perfect example of the Fibonacci Sequence and the corresponding "Golden Ratio" appearing in Nature.

#### Fibonacci Spiral, Pretty Sunflower, Sunflower Fibonacci, Fibonacci S Sunflower, Fractals Fibonacci, Fibonacci Sequence, Nature Sunflower

#### The Sunflower is a perfect example of the Fibonacci Sequence and the corresponding Golden Ratio appearing in Nature.

#### The sunflower,is a perfect example of the Fibonacci sequence and the corresponding "golden ratio" appearing in nature. Firstly,see how the florets are arranged in a spiral pattern both in a clockwise and counterclockwise fashion.There are 34 spirals that turn clockwise & 21 spirals that turn counterclockwise.The counter-clockwise spirals appear to grow according to the golden ratio.An approximate measure of this is that the radius of the spiral doubles w/ every 90° of rotation.

#### This is nature's perfection. The Fibonacci sequence.

#### Fibonacci spirals - thank you Mama Nature

#### Fibonacci Sequence in Nature - Sunflower

#### sunflower, seed, flower of life

#### fibonacci sequence -sunflower

#### Sunflower/fibonacci

#### Pretty Sunflower

fibonacci

#### Hawaii Plants, Fibonacci Art, Fern Spiral, Fibonacci Spirals, Purple Swirls, Fibonacci Plant, Spirals Nature

#### FALSE STAGHORN FERN, HAWAII VOLCANOES NATIONAL PARK, HAWAII Ferns are over 370 million years old. Their rigid stem helps to transport water and nutrients to the plant head.

#### FALSE STAGHORN FERN, HAWAII VOLCANOES NATIONAL PARK, HAWAII Ferns are over 370 million years old. I like this color and I like that these can serve as the delicate tendrils.

#### FALSE STAGHORN FERN, HAWAII VOLCANOES NATIONAL PARK, HAWAII via Natures Doorways

#### FALSE STAGHORN FERN, HAWAII VOLCANOES NATIONAL PARK, HAWAII

#### Beautiful natural fibonacci spirals.

#### Purple swirls from flower

#### Fern spiral - シダ 渦巻

#### FIBONACCI PLANT

Fractal Geometry in Cauliflowers

#### Fractals Geometry, Fractals In Nature, Natures Fractals, Green Nature, Fibonacci Fractals, Nature Texture, Green Texture, Cauliflower Fractals, Green Cauliflowers

#### broccoli romanesca---*colors, green, natures' photography, close up, details* - fractal geometry in cauliflower. I wish this stuff wasn't so hard to track down cuz I'd LOVE to try it!!

#### *colors, green, natures' photography, close up, details* - fractal geometry in cauliflower. Ces choux sont trop choux, ils ressemblent à de petits sapins. Juste cuits à la vapeur, ils conservent cette coloration magnifique, a condition de les tremper dans l'eau glacée.

#### *colors, green, natures' photography, close up, details* - fractal geometry in cauliflower.

#### #colors #green #nature #photography #fractal #geometry #science #design #art

#### photography fractal geometry in cauliflower #garden

#### fractals in nature - Google Search

#### Cauliflower Fractal Geometry

#### Green Cauliflower

#### #nature #fractal

shells

#### Shell Fossil, Shells Fossil, Seashell, Ammonite Fossil, Natural Form, Pearly Nautilus

#### The name "ammonite", from which the scientific term is derived, was inspired by the spiral shape of their fossilized shells, which somewhat resemble tightly coiled rams' horns./ According to the Book of Mormon, the Ammonites (/ˈæm.ə.naɪts/[1]) were a group of Lamanites who had been converted to the Christian religion of the Nephites by the missionary efforts.......this must be their skeletal remains!

#### Ammonite fossils- 50 million year old spiral examples!

#### Shell fossils on display at The Smithsonian

#### #Ammonite seashell. #Universe

#### shells/fossil ammonites...

#### shells - fossils<3<3<3

#### shells - fossils

#### Shell fossiles

Leaf, exhibiting both fractal spiral & branching patterns

#### Fractals In Nature, Patterns Nature, Leaf Patterns, Natural Pattern, Patterns In Nature, Nature Patterns

#### Spirale fractale et structure en ramification : la Nature est un excellent mathématicien ! / Fractal spiral & branching patterns : Nature is a very good mathematician. / Begonia leaf. / Feuille de bégonia.

#### Fractals in nature... art is all around us ~ Leaf

#### Nature patterns. reneebeckmft.com/psychotherapy

#### Rex Begonia exhibiting fractal spiral pattern

#### Leaf with both fractal and spiral patterns

#### Leaf patterns and colour.

#### leaf pattern

Fibonacci Mathematics even in seeds ~ From galaxies to shells, to a spiral seed

#### Fractals In Nature, Fibonacci Spirals, Fibonacci Mathematics, Patterns Spirals, Fibonacci Golden, Golden Ratio, Plants Seeds, Spiral Seed

#### "The golden ratio, also known as the golden spiral, divine proportion, phi, sacred geometry, and the Fibonacci sequence, is a reoccurring pattern all throughout nature. It is a natural growth sequence found in plants, seeds, shells, humans, and even the galaxy." http://sacredecologyfilms.com/

#### Fibonacci Mathematics even in seeds ! Galaxies, shells, flowers, succulents, pinecones, even a spiral seed ♥ Kind of a lot of coincidences, don't you think?

#### Fibonacci Mathematics even in seeds ~ From galaxies to shells, to a spiral seed to the fingerprints on humans.

#### Fibonacci Mathematics even in seeds ~ From galaxies to shells, to a spiral seed <---read about this SO interesting

#### FOR MY NEICE ELIZABETH, THEMATHEMATICS TEACHER. ... Fibonacci Mathematics even in seeds ~ From galaxies to shells, to a spiral seed

#### "The golden ratio, also known as the golden spiral, divine proportion, phi, sacred geometry, and the Fibonacci sequence, is a reoccurring pattern all throughout nature. It is a natural growth sequence found in plants, seeds, shells, humans, and even the galaxy. It's been used throughout art history, architecture, math, science, medicine, music, religion, and economics.

#### Fibonacci - Golden Ratio

#### Fibonacci - spiral seed

fossilized

#### Ammonite Closeup, Ammonite Macro, Sacred Geometry, Carissapod Fish, Mother Earth, Fish Parade, Ammonite Fossil, Nature Patterns

#### lllaaaaahhhh, to me this is true beauty. Thank you Mother Earth and those humans who are keen enough to capture it’s essence.

#### КАРТИНА КВАДРАТ СПИРАЛЬ ammonite closeup by carissapod :: fish parade, via Flickr

#### Fractal spiral - ammonite closeup by carissapod :: fish parade, via Flickr

#### Ammonite closeup. Fabulous sacred geometry. #spiral #geometry

#### ammonite closeup by carissapod :: fish parade, via Flickr

#### Ammonite Closeup by photographer carissapod::fish parade

#### Fossilized ammonite macro.

#### ammonite fossil close-up

#### Super natural pattern

Spiral

#### Chameleons, Pattern, Espiral Camaleónica, Spiral Chameleon, Dress Spiral, Chameleon Spiral

#### Lori's dress | Spiral, the tale of a chameleon!

#### The Eternal Spiral of the Chameleon's Tail

#### chameleon spiral tail #yellow #reptile

#### Spiral, the tail of a chameleon!

#### Chameleon's tail, Mark Bridger

#### Swirl - chameleon tail

#### Spiral - chameleon.

#### Espiral camaleónica

#### Fractal - Spiralen

center of purple cone flower

#### Colored Pencil, Fibonacci Spirals, Sunflowers Fibonacci Sequence, Sunflowers Fractals, Sacred Geometry, Golden Ratio, Echinacea Coneflower, Garden Plants Flowers, Fibonacci Numbers

#### coneflower, Golden Ratio, more fractal geometry in nature January 30th Pinterest search 2015

#### The Seedhead of a Coneflower Displaying the Beautiful Double Spiral of the Fibonacci Spiral

#### coneflower, Golden Ratio, more fractal geometry in nature by Brian Blessed on Flickr

#### fibonacci spiral in nature | The Fibonacci Numbers and Golden section in Nature - 1

#### AMAZING. Coneflower, Golden Ratio, more fractal geometry in nature.

#### coneflower, Golden Ratio, fractal geometry in nature

#### Sacred geometry in nature. The flower of life.

#### Colored pencil sculpture

#### Echinacea--coneflower

pine cone fibonacci pattern

#### Pinecone, Fibonacci Spiral, Nature Pattern, Pine Cones, Natural Pattern, Fibonacci Sequence, Natural Form

#### Fibonacci - Spiral Pattern in Pine Cone Pine cones are a classic example of the logarithmic or equiangular spiral in nature. This is from a Short-leaf pine. These spirals form from processes where there is turning at a constant angle but accelerating growth. This describes the growth of many structures in the plant kingdom. © Kevin Kopchynski

#### Fibonacci pine cone. #fibonacci #pinecone #fractal #pattern #pennyroyal #inspiration

#### Image detail for -Spiral Pattern in Pine Cone Fibonacci sequence in nature

#### pine cone fibonacci pattern-what a great view of my fav, pinecones

#### Fibonacci - Patrones naturales piña - Natural patterns

#### #fibonacci #fractals #spiral #geometry #angle

#### pinecone fibonacci spiral

nautilus spiral

#### Seashell Fossil, Sea Shells, Seashell Spiral, Studio Seashell, Shells Fossils

#### Secret To Life Art Print by Joel Harris Studio | Society6

#### Chambered nautilus #seashell #beach

#### She sells seashells by the seashore.

#### Joel Harris Studio, seashell

#### Seashell Fossil pattern

#### #shells #fossils

#### Spiral seashell

#### seashell spiral

Spirals

#### Fiddlehead Ferns, Fern Frond, Fibonacci Spiral, Fern Spirals, Fern Fractal, Close Up

#### THESE HEADS ARE GOOD STEAMED. FIDDLE FERN. Close up of a Fern Frond...which will open into a Fern leaf, or in this case many leaves.

#### Magnificent Nature ~ Close up of a Fern Frond...which will open into a Fern leaf, or in this case many leaves.

#### fibonacci spiral in nature - Google Search

#### fiddlehead fern frond, beautiful!

#### Fiddlehead fern fractal.

#### Fern-patterns in nature

#### Fern Fiddlehead

#### Fern spirals

#### green fern

fibonacci | Fibonacci Sequence Illustrated by Nature | CosmicGarden

#### Fibonacci Spiral, Google Search, Sacred Geometry, Fibonacci Sequence, Nature S, Golden Ratio

#### Fibonacci Sequence Illustrated by Nature - Fibonacci Spiral Aloe (The Fibonacci sequence starts with the number 1. Each additional number is the sum of the two numbers preceding it. For example 1+0=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8 and so on. )

#### The Fibonacci Sequence And Golden Ratio ~ an integral part of art and life

#### Spiral Aloe. Numerous Cacti Display The Fibonacci Spiral.

#### Understanding Fibonacci Sequence and Golden Ratio

#### fibonacci sequence in nature - Google Search

#### the golden ratio in nature - Google Search

#### sacred geometry in nature - Google Search

#### #GoldenRatio #Phi

Spirals

#### Bokeh Photography, Bokeh Spiral, Nature, Fibonacci Spiral, Sacredgeometry, Google Search, Sacred Geometry

#### "Bokeh Spiral. Many of the spirals found in nature are based on the logarithmic principles of the Golden Section, such as the receding body of a plant as seen in this bokeh image." (via Eriwst)

#### Sacred Geometry is a world of power forms which reflect nature and harmony of creation.

#### sacred geometry, polyhedra, polyhedron, gemetric, nature

#### famous macro nature photography - Google Search

#### nature wallpaper patterns - Google Search

#### Fibonacci spiral in nature

#### Succulent Plant Wallpaper

#### nature - Google Search

#### Bokeh photography

A section of a Nautilus Shell. I purchased a Nautilus Shell and requested it to be cut into sections. I received 3 sections, so cool! My Favorite Shell Specimen!!!

#### Fibonacci Art, Sea Shells, Nautilus Shell, Fibonacci Sequence, Favorite Shell

#### Nautilus shell, cross-section by eberhardphoto, via Flickr. Fibonacci sequence found in nature. useful for photography and creatives logos.

#### "The Golden Mean is represented by the Greek letter phi, (with the decimal representation of 1.6180...) is one of those mysterious natural numbers that seems to arise out of the basic structure of our cosmos. Phi appears regularly in the realm of things that grow and unfold in steps just as the Nautilus shell grows larger on each spiral by phi."

#### A representation of life itself, the Nautilus shell. A cross-section photograph by eberhardphoto

#### Chambered Nautilus - a testament to the fortitude that is in all of nature

#### Setu Concept_Nautilus shell, cross-section by eberhardphoto, via Flickr

#### All sizes | Nautilus shell, cross-section | Flickr - Photo Sharing!

#### Nautilus shell, cross-section by eberhardphoto, The Golden Mean

#### Nautilus shell, cross-section | Flickr - Photo Sharing! Idea

mushroom