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MATH IN NATUREBy: Ernesto Garcia AND Barbara Barone
MATH IN NATURE – THE FIBONACCISEQUENCE AND THE GOLDEN RATIO Remember the Fibonacci Sequence?0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, It shows up in the most interesting places!.
MATH IN NATURE – GENETICS & THEFIBONACCI SEQUENCEIn a paper by LukeHutchison titled“Growing the FamilyTree: The Power of DNAin ReconstructingFamily Relationships,” itwas shown that thenumber of ancestors onthe X chromosome linefollows the FibonacciSequence.
MATH IN NATURE – GOLDEN RATIO & HUMAN ARM The ratio between theforearm and the hand is theGolden Ratio. Not surehow? Ask for a ruler andmeasure your hand andforearm.
MATH IN NATURE - FIBONACCI SEQUENCE & BONES The bones of your finger (includingthe bone from your knuckle to yourwrist) follow the Fibonaccisequence.
MATH IN NATURE - FIBONACCI SEQUENCE & FINGERS We have 8 fingers in total, 5 digits oneach hand, 3 bones in each finger,2 bones in 1 thumb, and 1 thumb oneach hand.
MATH IN NATURE – FIBONACCI & FLOWERS Many flowers also exhibit theFibonacci sequence.
MATH IN NATURE –FIBONACCI SEQUENCE & LEAVES Leaves will form in such a way tomaximize sunlight exposure.Notice how, given this fact, plantsseem to exhibit Fibonacciproperties.
MATH IN NATURE – GOLDEN SPIRAL & HUMAN EAR The human ear forms a Golden spiral. A Fibonacci spiral approximates thegolden spiral using quarter-circle arcsinscribed in squares of integer Fibonaccinumber side, shown for square sizes 1, 1,2, 3, 5, 8, 13, 21, and 34.
MATH IN NATURE: EXPONENTS & RABBITBREEDING
MATH IN NATURE: ROTATIONAL AND LINESYMMETRY AND SNOWFLAKES
MATH IN NATURE: LINE SYMMETRY ANDTHE HUMAN FACE
MATH IN NATURE: SYMMETRY AND STARFISH
MATH IN NATURE: SYMMETRY ANDPEACOCK
MATH IN NATURE: SYMMETRY ANDSPIDER WEBS
MATH IN NATURE: FIBONACCI SEQUENCEAND SUNFLOWERS
MATH IN NATURE: HONEYCOMBS ANDHEXAGONS
MATH IN NATURE – FIBONACCI AND FRUITS If you cut a fruit orvegetable, you will oftenfind that the number ofsections is a Fibonaccinumber.BANANAAPPLE
MATH IN NATURE – PINECONES & FIBONACCIThe image under the green and redspirals is a pinecone. Notice thatthe spirals follow the shape of thepinecone. Count the green and redspirals. Notice anything?
MATH IN NATURE: SYMMETRY AND STARFISH. MATH IN NATURE: SYMMETRY AND . SPIDER WEBS. MATH IN NATURE: FIBONACCI SEQUENCE AND SUNFLOWERS. MATH IN NATURE: HONEYCOMBS AND HEXAGONS. MATH IN NATURE - FIBONACCI AND FRUITS If you cut a fruit or vegetable, you will often find that the number of sections is a Fibonacci
