The Fibonacci Sequence in Nature BY SEHYOGUE AULAKH Leonardo Fibonacci Fibonacci was an Italian mathematician who discovered a very special sequence of numbers that is.
Download ReportTranscript The Fibonacci Sequence in Nature BY SEHYOGUE AULAKH Leonardo Fibonacci Fibonacci was an Italian mathematician who discovered a very special sequence of numbers that is.
Slide 1
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 2
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 3
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 4
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 5
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 6
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 7
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 8
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 2
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 3
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 4
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 5
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 6
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 7
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes
Slide 8
The Fibonacci Sequence in
Nature
BY SEHYOGUE AULAKH
Leonardo Fibonacci
Fibonacci was an Italian mathematician who discovered a very
special sequence of numbers that is known as The Fibonacci
Sequence.
The Fibonacci Sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Basically
you add 2 consecutive numbers starting at 0 to get a new number.
These sequences are found everywhere in nature, humans, music and
art.
Pine cones
Pine cones show excellent Fibonacci sequences. Here
there are 8 clockwise and 13 anticlockwise spirals (both
Fibonacci numbers). If you look at a pinecone from the
side, each level has a certain number of scales that match
a Fibonacci number. Pinecones are not alone...
Just about every plant or animal is governed by
Fibonacci numbers! Here's another example.
Garden daisies usually have 34 petals. Other
types of daisies have 55 or 89 petals. All these
numbers are Fib numbers.
Another flower example...
This is a coneflower. The number of spirals in the flower head
going clockwise and anticlockwise are consecutive Fibonacci
numbers.
pineapple
Vegetables and Fruits
Broccoli and cauliflower are the main two vegetables that show the
Fibonacci sequence in the spiralling of the florets. Some fruits
show the Fibonacci sequence such as star fruit, pineapple and
dragonfruit.
starfruit
Fibonacci and the Piano
Did you know a Fibonacci sequence is in the keys of
the piano?
1
2,3
5
8
13
octave
number in number of number of total
each set
black
white
number of
of black
notes
notes
notes
notes