ADVERTISEMENT

Who said math can’t be interesting? Fractals like these can seem too perfect to be true, but they occur in nature and plants all the time and are examples of math, physics, and natural selection at work!

When we see order in the world, we think it must be some human hand that made it so. But Galileo Galilei in his Il Saggiatore wrote, “[The universe] is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures.” There is order in nature, and artists who want to reproduce it faithfully spend hours studying nature’s forms.

Civilization has struggled to understand this perfect geometry for thousands of years. In the 4th century, Plato believed that symmetry in nature was proof of universal forms; in 1952, the famous code-breaker Alan Turing wrote a book trying to explain how such patterns in nature could be formed.

Now you can join in the debate. Upvote your favorite photo from the list, or upload your own!

#1

Aloe Polyphylla

Aloe Polyphylla

namraka Report

VilémRein
Community Member
9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

Almost all of the pictures contain spirals of leaves or flowers. The spirals are mathematically described as Fibbonaci spirals and these are formed due to specific angels in which new organs are formed at the border region of the shoot apical meristem of the plant. The angle is given by the genotype and the places where are the primordia of the new organs formed are characterized by formation of a local high concentration of the plant hormone auxin. And because the plant maintains the shoot apical meristem throughout its life, there are new structures also in old plants formed in this regular shape (the only precondition is there is no damage close to the apical meristem.

View more comments
RELATED:
    #2

    Romanesco Broccoli

    Romanesco Broccoli

    Didier Kobi Report

    Rism
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Whoah! Never see this in supermarket

    View more comments
    #3

    Crassula Buddha's Temple Plant

    Crassula Buddha's Temple Plant

    Grenville Report

    #4

    Amazon Lily Pad

    Amazon Lily Pad

    Amazon Lily Pad

    imgkid.com Report

    ADVERTISEMENT
    #5

    Dahlia

    Dahlia

    amazon2008 Report

    DariaB
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Looks like it will make sounds if I squeeze it.

    View more comments
    ADVERTISEMENT
    #6

    Flowers Like Jeweled Carpet

    Flowers Like Jeweled Carpet

    Morgan Glines Report

    #7

    Drosophyllum Lusitanicum

    Drosophyllum Lusitanicum

    ramamayoor Report

    #8

    Hoya Aldrichii

    Hoya Aldrichii

    John Tann Report

    wildandfree
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    I love to eat the nectar from flowers of Hoya!

    View more comments
    ADVERTISEMENT
    #9

    Fractal Cabbage

    Fractal Cabbage

    Epochalypse Report

    VilémRein
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Very nice example of Fibbonaci spirals...

    GlynisLailann
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Every time I cut a cabbage I always marvel at the design within.

    DonnaTolmatch
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Ah nature. So much to learn and see.

    DickIacovello
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    This is a pattern I noticed the first time I cooked with purple cabbage, I’ve even used it in some of my aty pieces.

    EdnaRoebuckSoto
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    I love ART, Veggies, Fractals & Pi...; )

    View more comments
    ADVERTISEMENT
    #10

    Sunflower

    Sunflower

    Luca Postpischl Report

    PiNeAPplES
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Does anyone else see a faint star shape?

    View more comments
    #11

    Camelia

    Camelia

    Robbie Report

    ADVERTISEMENT
    #13

    Thinking Cactus

    Thinking Cactus

    gigingir Report

    LouVarner
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    it looks like a brain to me. is that why it's called thinking cactus?

    View more comments
    ADVERTISEMENT
    #14

    Viola Sacculus

    Viola Sacculus

    brcotte2007 Report

    VilémRein
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Wow, this was for me a new plant, I have never seen it before. For me a wonderful plant. Will immediately look for more info, about this miracle...

    View more comments
    #15

    Ludwigia Sedioides

    Ludwigia Sedioides

    Donna Falcone Report

    JoiPfost
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    This makes me want to learn to paint. It's so beautiful!

    View more comments
    #16

    Lobelia

    Lobelia

    George F. Mobley Report

    Colin Taylor
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    "One bite and the Bishop was sick" (Sir Henry at Rawlinson End)

    View more comments
    ADVERTISEMENT
    #17

    Succulents

    Succulents

    Jolina Report

    ADVERTISEMENT
    #18

    Pelecyphora Aselliformis

    Pelecyphora Aselliformis

    Peter Hunter Report

    #19

    Chameleon Tail

    Chameleon Tail

    Popumon Tih Report

    #20

    Leaf Ladder

    Leaf Ladder

    Janet Little Report

    ADVERTISEMENT
    #21

    Hoya Pubicalyx

    Hoya Pubicalyx

    Botanical Wonderland Report

    ADVERTISEMENT
    #22

    Alstroemeria Pelegrina

    Alstroemeria Pelegrina

    Florencia & Juan Report

    17_csimpson
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Cool I can't believe this. ITS A MIRACLE!!!!!

    #23

    Hoya Kerrii

    Hoya Kerrii

    Sandra Report

    Rcatheron
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Looks like sugar icing flowers on a cake!

    View more comments
    #24

    Spiral Begonia

    Spiral Begonia

    elsewhereincuenca2.blogspot.com Report

    MaryAliceLynch
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    I have neve seen a begonia like this. It is beautiful.

    ADVERTISEMENT
    #25

    Aeonium Tabuliforme

    Aeonium Tabuliforme

    David Szalay Report

    ADVERTISEMENT
    #26

    Fractal Cabbage

    Fractal Cabbage

    lumiparta Report

    #27

    Echinacea

    Echinacea

    Report

    #28

    Symetric Flowers

    Symetric Flowers

    Report

    ADVERTISEMENT
    ADVERTISEMENT
    #30

    Pinecone

    Pinecone

    Report

    Dragons Exist
    Community Member
    1 year ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    I've always liked pinecones when they're brown but before they open up

    #31

    Fearful Symmetry

    Fearful Symmetry

    500px.com Report

    MaryAliceLynch
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    I love the colors and the symetry. I like this one the best so far.

    #32

    Agave~tequila Plant

    Agave~tequila Plant

    Report

    MerryMarjie
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Ah, my favorite plant, in terms of productivity!

    ADVERTISEMENT
    #33

    Silversword

    Silversword

    500px.com Report

    ADVERTISEMENT
    #34

    Agave Angustifolia

    Agave Angustifolia

    Report

    #35

    Planta Mosaico - Ludwigia Sedioides

    Planta Mosaico - Ludwigia Sedioides

    Report

    #36

    Gerbera

    Gerbera

    Report

    ADVERTISEMENT
    #37

    Purple Fractal Cabbage

    Purple Fractal Cabbage

    media.bridgesandballoons.com Report

    ADVERTISEMENT
    #38

    B&w Dahlia

    B&w Dahlia

    Report

    #39

    Unfurling Tree Fern Frond, Madeira

    Unfurling Tree Fern Frond, Madeira

    Report

    #40

    Monstera Fruit

    Monstera Fruit

    Report

    ADVERTISEMENT
    #41

    Araucaria Arucana

    Araucaria Arucana

    www.flickr.com Report

    ADVERTISEMENT
    #42

    (another) Sunflover Mandala

    (another) Sunflover Mandala

    Report

    #43

    Colorful Cacti

    Colorful Cacti

    susanbaileyphoto.com Report

    ADVERTISEMENT
    #45

    Mandala

    Mandala

    Report

    ADVERTISEMENT
    #46

    Mimosa

    Mimosa

    Report

    #47

    Pinecone

    Pinecone

    Report

    ADVERTISEMENT
    #49

    Detail Of A Fern

    Detail Of A Fern

    Report

    ADVERTISEMENT
    #52

    Suculent

    Suculent

    Report

    TravinMcKain
    Community Member
    9 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    This is Dudleya pulverulenta “Chalk Liveforever”

    ADVERTISEMENT
    #53

    Water Forget-me-not

    Water Forget-me-not

    Report

    ADVERTISEMENT
    #54

    Protier

    Protier

    Report

    #55

    King Protea - Maui

    King Protea - Maui

    Report

    chachkimooch
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    WOW! Now that's an impressive flower!

    #56

    Geometric Leave.

    Geometric Leave.

    Report

    ADVERTISEMENT
    #57

    Magnolia

    Magnolia

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #59

    Arjareka Gibson- 7th Period

    Arjareka Gibson- 7th Period

    Report

    #60

    Oriental Lily

    Oriental Lily

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #61

    Spiney Cactus

    Spiney Cactus

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #62

    White Malaysian Mums

    White Malaysian Mums

    Report

    #63

    Pine Candle

    Pine Candle

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #64

    Phillip Nguyen Pd.3

    Phillip Nguyen Pd.3

    Report

    #65

    Fractal Broccoli

    Fractal Broccoli

    en.wikipedia.org Report

    ADVERTISEMENT
    See Also on Bored Panda
    #66

    Farjana Kshuhboo

    Farjana Kshuhboo

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #67

    Farjana Kshuhboo P3

    Farjana Kshuhboo P3

    Report

    #68

    Andrew Bagwell 3rd

    Andrew Bagwell 3rd

    Report

    #69

    Camelia

    Camelia

    Report

    ADVERTISEMENT
    See Also on Bored Panda
    #70

    Barrel Cactus

    Barrel Cactus

    Report

    ADVERTISEMENT
    #71

    Apple Core Cross Section

    Apple Core Cross Section

    Report

    #72

    A Strange Flower

    A Strange Flower

    Report

    #73

    Moss On The Cobble Stones

    Moss On The Cobble Stones

    Report

    ADVERTISEMENT
    #74

    Fuzzy

    Fuzzy

    Report

    ADVERTISEMENT
    #76

    Maria Iniguez

    Maria Iniguez

    Report

    #77

    Thissle

    Thissle

    Report

    ADVERTISEMENT
    #78

    Perception By Malinda Ratliff

    Perception By Malinda Ratliff

    Report

    ADVERTISEMENT
    #79

    Nymphalis Antiopa Butterfly

    Nymphalis Antiopa Butterfly

    Report

    #80

    Camelia2

    Camelia2

    Report

    ADVERTISEMENT
    #82

    Water Lily, Shot At Gutty Meusium.

    Water Lily, Shot At Gutty Meusium.

    Report

    ADVERTISEMENT
    #83

    Geometric Flower.

    Geometric Flower.

    Report

    KathiePhelps
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    That's a Clematis of some variety

    #84

    Little Star

    Little Star

    Report

    #85

    Lilac

    Lilac

    Report

    ADVERTISEMENT
    #86

    Black Hollyhock

    Black Hollyhock

    Report

    ADVERTISEMENT
    #87

    Flower

    Flower

    Report

    #88

    Common Dandelion

    Common Dandelion

    Report

    ADVERTISEMENT
    #90

    Rose From Ariana

    Rose From Ariana

    Report

    ADVERTISEMENT
    #91

    Phillip Nguyen Pd3 Got Emm

    Phillip Nguyen Pd3 Got Emm

    Report

    #92

    Young Lily Before Blooming

    Young Lily Before Blooming

    Report

    #93

    Maria Iniguez

    Maria Iniguez

    Report

    ADVERTISEMENT
    #94

    Heal All

    Heal All

    Report

    ADVERTISEMENT
    #95

    Thistle

    Thistle

    Report

    #96

    Colorado Columbine

    Colorado Columbine

    Report

    #97

    Columbine

    Columbine

    Report

    ADVERTISEMENT
    #98

    King Protea - Maui

    King Protea - Maui

    Report

    ADVERTISEMENT
    #99

    Geometric Leave.

    Geometric Leave.

    Report

    #100

    Nature At Its Best

    Nature At Its Best

    Report

    #101

    Sunflower

    Sunflower

    Report

    ADVERTISEMENT
    #102

    Tulip

    Tulip

    Report

    ADVERTISEMENT
    #103

    A Bruce, - Following The Sun's Path ?

    A Bruce, - Following The Sun's Path ?

    Report

    #104

    From My Garden

    From My Garden

    Report

    #105

    Sunflower

    Sunflower

    Report

    ADVERTISEMENT
    #106

    Colorado Columbine

    Colorado Columbine

    Report

    ADVERTISEMENT
    #107

    Purple

    Purple

    Report

    JosieSchmitz
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    Some variety of Dahlia I'm guessing

    #108

    Mums

    Mums

    Report

    #109

    Phillip Nguyen Period 3

    Phillip Nguyen Period 3

    Report

    KiaL
    Community Member
    10 years ago Created by potrace 1.15, written by Peter Selinger 2001-2017

    #youGuessedIt #YouWasWrong

    ADVERTISEMENT
    #110

    Fibonacci Music By: Alexis Hernandez

    Fibonacci Music By: Alexis Hernandez

    Report

    ADVERTISEMENT
    #112

    This submission is hidden. Click here to view.