Many things repeat.
When you learn to count … 1, 2, 3, 4, 5, … you are increasing your number by one every time. Many number sequences are nothing more than always repeating the same algorithm. When a creature produces its shell, it is repeating the same simple building instructions as it grows, thereby creating a spiral (or one shell of a bivalve).
On a semi-humorous, semi-serious note, the idea of a day that kept repeating itself formed the basis for the entertaining movie, Groundhog Day.
In this part of the website I want to help you explore such repeating things.
Sequences and Series ~ Repeating patterns with numbers
Mathematical Induction ~ Repeating patterns with ideas, concepts, and algebraic structures
Fractals ~ Repeating patterns with geometric shapes
By far the best educator I have been subject to in my schooling life. Apart from showing me with the utmost clarity the many concepts of mathematics, Graeme has inspired me to better myself in everything that I do in school and in my life. His dedication to his craft is truly admirable, and this level of dedication to helping the student achieve is something that is extremely hard to find. If you’d want anyone on your side during HSC mathematics, it’d be Graeme.
Harry B (student, 2012)
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