MMW - Midterm

• The study of the relationships among numbers, quantities, and shapes.

  Mathematics
• Identical when it is folded/same size both sides.

  Symmetry
• Curves patterns that focuses on the center point

  Spiral
• Rotational circular in pattern

  Radial
• Tiles, one or more geometric shapes, no overlaps, no spaces, and no gaps.

  Tesselations
• A Belgian physicist that formulates the concept of minimal surface. 120 degree rule, soap bubbles.

  Joseph Plateau
• Marine organism

  Ernst Haeckel
• Growth patterns in both plants and animals. Fractal patterns.

  D'arcy Thompson
• Spots and stripes

  Alan Turing
• Showed how the mathematics of fractals could create plant growth patterns

  Aristid Lindenmayer and Benoit Maldenbrot
• Landscape works

  W. Gary Smith
• Cloud patterns

  Scattered
• Crack / broke patterns

  Fractured
• Butterfly patterns

  Mosaic
• Hills, plain, and wavy patterns

  Serpentine
• nerves, branches, roots pattern

  Dendritic
• curve patterns

  Spiral
• Rotational patterns

  Radial
• Natural pattern

  Naturalistic Drift
• Was nicknamed "Fibonacci"

  Leonardo Pisano Bigollo
• What is the meaning of "Fibonacci"

  Son of Bonacci
• When was the Fibonacci day?

  November 23
• Logarithmic spiral whose growth factor is phi.

  Golden Ratio
• What is the value of Phi

  1.618034
• Patterns that build into a simple repetitive shapes that are reduced in size every time they are repeated.

  Fractal Patterns
• What are the characteristics of Mathematical Language?

  Non-Temporal

  Devoid of emotion content

  Precise
• A well defined collection of distinct objects and is denoted by an uppercase letter

  Sets
• an object that belongs to a set

  Element
• a method which the elements in the given set are listed or enumerated.

  Roster
• A method in which the common characteristics of the elements are defined.

  Rule
• Let b the set of the colors of the rainbow

  Roster form = B = {red, orange, yellow, green, blue, indigo, violet}

  Rule form = B={x | x is the colors of the rainbow}
• A type of set that has no elements

  Empty set
• A set with countable number of elements

  Finite set
• A set that has uncountable number of elements

  Infinite set
• The totality of all the elements of the sets under consideration, denoted by the letter U.

  Universal set
• it is a set with the same elements

  Equal set
• A set with same number of elements

  Equivalent set
• sets with at least one common element

  Joint set
• sets that have no common element

  Disjoint set
• set wherein every element of which can be found in the second set.

  Subset