Friday, 26 June 2015

Jumping frogs

We've been playing the game of Frogs.
The frogs can move into a space either by sliding to the next lilly pad or by jumping over the one frog next to them. You can play the game on the app below:

Full Screen and tablet version



We found the minimum number of moves necessary. We used desmos.com to make a graph of this. 

We looked at the points for 1, 2 and 3 frogs of each colour, and then estimated where the one for 4 frogs would be.
Samyak spotten a pattern in the numbers:
"You add odd numbers!"
Click on the image below to see the graph on desmos.com.

6 comments:

  1. I managed 1,2,3,4,5,6,7,8,9.9 took 99 moves

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  2. Well done - and I can see that's the minimum number of moves!

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  3. My mum saw in Wikipedia that the minimum number of moves for 4 was19 not 24.

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    Replies
    1. Ooh, could you post a link to that for me?

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