Course:MATH230/Archive/2010-2011/101/groups/group06

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Group 6

Geometry

-The circle, ellipse, parabola and hyperbola are all conic sections created by slicing a 3-dimensional cone at different places.

-An angle wheel demonstrates all possible angles through lines that intersect the centre point of a circle.

[1]


Patterns

Patterns can be found in nature; in a mathematical sense there are many different examples. For instance, to answer an simple question; are there a similiarity in pinecones, seashells, and snails. In all of these examples, there is a similar arrangement in the shape of the objects; this is the Fibonacci Spiral.

"The Fibonacci Spiral is based upon the Fibonacci numbers. These numbers are 1, 1, 2, 3, 5, 8, 13, … As you can see, the pattern in this sequence of numbers is made by adding two numbers to get the next number in the sequence."

quoted from http://www.missmaggie.org/mission4_parts/eng/teaching/pdfs/mathinnature.pdf

in the footnote there is an example of different patterns in fractal geometry found in nature that reflect the Fibonacci Sequence. [2]