don steward
mathematics teaching 10 ~ 16

Tuesday, 5 April 2011

rhombus dissections 2

David Wells* points out that one systematic way to fill up even-sided regular polygons is to use triangular numbers of rhombuses

if you make all the rhombuses into squares and unhook from the bottom point you will see the pattern of  1 + 2 + 3 + 4 + ....    squares - which is pretty amazing...

[*in 'Hidden Connections, Double Meanings', further elaborated in 'What's the point?']

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