LOGO Challenge - Circles as animals
At the school next door, two girls had been working on circle problems...
They had gone on to use circles to represent cellular growth in some science they had been doing. They had been looking at how cells grow, in particular those that grew under certain rules that repeat!
Look for yourself and see if you can anticipate successive 'generations' of the two animals shown here.
More importantly can you construct elegant procedures to draw them out?
Here is the first 'animal'.
An interesting thing about the second 'animal' is that it is always unicursal, that is you can trace the 'animal' going over each line once and once only, eventually returning to the original starting point.
And another
Can you design cellular animals of your own that are also unicursal?
Finally, a representation of the old mathematical chestnut of squaring the circle, which you might like to research and consider.
You might like to look at LOGO Challenges 10 , 11 and 12 to help with the cricles generally and the concentric circles in particular.
There are a number of different ways to arrive at the first animal but it is worth thinking ahead and how you will use an animal from one generation to produce the next.
Does the first animal "die" after the third generation or is there a way forward??