Relation of Shape Sequences to Number Sequences

Transcript

Relation of Shape Sequences to Number Sequences Our shape sequences are Let’s look at number sequence relationship of each one 1. Regular Polygons Pattern: Counting numbers starting from 3 In number sequence, it is 3, 4, 5, 6, 7, 8, 9, 10,… 2. Complete Graphs (K₂ to K₆) So, number of lines are 1, 3, 6, 10, 15… Pattern is triangular numbers 3. Stacked Squares Pattern: Square numbers i.e. 1, 4, 9, 16, 25, ... 4. Stacked Triangles Pattern: 1, 3, 6, 10, 15, … So, its triangular numbers again 5 . Koch Snowflake Here, Number of lines = 3 × Powers of 4 Pattern: 3, 12, 48, 192,…