mmw
are often unpredictable and can be seen in seeds and pinecones
patterns of visual
flows of liquids and can be found in water and stone
patterns of flow
human walk or locomotto
patterns of movement
most basic patterns
patterns of rhythm
sense through touch
patterns of texture
series of shape
geometric patterns
disturbance that carry ebergy as it moves
waves and dunes
skin of giraffe
spots and stripes
has a vital role in pattern formation
symmetries
scale of cosmos
spirals
called line symmetry
reflection symmetry
rotational symmetry
rotations
see in nature and in man made objects
translations
structure of subatomic particle to that of the entire universe
symmetry in nature
is one of the pieces of evidence that there is symmetry in nature
human body
symmetry motion is present in animal movement
animal movement
it contains both radial and bilateralsymmetry
sunflower
have six folded radial symmetry
snowflakes
examples of wallpaper symmetry
honeycomb/beehives
have a raddial fivefold symmetry
starfish
fibonacci occurs in nautilus shells with a
logarithmic spiral growth
ordered list of numbers called terms
sequence
allows a definite pattern
arithmetic sequence
we need to loom for common ratio
geometric sequence
reciprocal of the terms
harmonic sequence
who coined the fibonacci sequence
leonardo pisano bigollo
when coined fabonacci sequence
1170-1250
grandeur of fibonacci sequence was also discovered in the structyre of
Golden Rectangle
is a collection of well defined objects
set
who coined set
georg cantor
when coined set
1879
set that contain only one element
unit set
set that has no element
empty set or null set
set that the elements in a given set is countable
finite set
set has no end or not countable
infinite set
used to measure the number
cardinal number
set are said to be equal
equal set
set said to be equivalent
equivalent set
set of all elements under discussion
universal set
only if they have common elements
joint set
they dont have common element
disjoint set
done by listing /tabulating the elements of the set
roster/set builder method
elements of A is an element of B
Subset