This post was part of the Chalkdust 2016 Advent Calendar.
Welcome to the second day of the 2016 Chalkdust Advent Calendar. Today, we have a lovely Christmas-themed puzzle for you to enjoy. Like so many good puzzles, this one is inspired by a puzzle that I found in a Martin Gardner book.
It’s the start of Advent, so you decide to decorate your flat with some homemade decorations. You have a large number of red and blue baubles that you bought in last year’s January sales.
You like equilateral triangles, so you decide to stick ten baubles together into a large equilateral as shown below.
You are not, however, happy with this arrangement of colours as you hate smaller equilateral triangles, and three of the red baubles lie on the vertices of an equilateral triangle (as shown below).
Is it possible to arrange ten baubles into a triangle so that no three baubles of the same colour form the vertices of an equilateral triangle?
I’ll be back later in Advent with the answer to this puzzle and more puzzles…
You might also like…
- "Unlocking the hidden mathematics in video games"
- Learn how to model your heart one beat at a time ❤️
- Belgin plays a classic mathsy game from her childhood...in 16-bit graphics! Here's her review...
- You can un-knot a knot, by cutting it not?
- Why do surnames die out? We take a look at the Galton-Watson process for modelling the extinction of surnames to answer the question: 'When will we all be Smiths?'
- Did you solve it?