The sky is NOT the only limit in Mathematics!
Mathematics is not only about repeating patterns, but also about observing and analyzing how patterns repeat. For this reason, we normally say that repeated patterns is a strong aspect of mathematical modelling.
Gabriella, our grade 12 DP student, created a very simple repetition pattern:
1. Cutting the paper into three equal pieces,
2. Taking one piece and cutting it into three equal parts again
3. Representing the pieces in terms of fractions, and
4. Writing the addition of two large pieces and one small piece as a single fraction.
Even though the pattern looks very simple, the implications led her to understand the idea of limit in mathematics. She realized that even if she had super powers, and even if she cut the paper into infinitely small equal pieces with super precision, she could never cover the cardboard with her fractions completely.