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Most users ever online was 9 on Sun Oct 03, 2010 1:25 pm

frogs investigation

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frogs investigation

Post  Admin on Tue Nov 02, 2010 12:41 pm

Using X O notation , show line by line, how you move the green frogs to the other side. Frogs can only jump one forward to over another frog. They cant go backwards.



How many moves are needed for

a) 1 red and 1 green frogs
b) 2 red and 2 green frogs
c) 3 red and 3 green frogs
d) 4 red and 4 green frogs
d) is there a pattern?


Last edited by Admin on Tue Nov 02, 2010 12:48 pm; edited 1 time in total

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example of X and O notation by Ivan and Darius

Post  Admin on Tue Nov 02, 2010 12:47 pm

Please us this as a template to show your moves


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Answers

Post  kalmengistu on Wed Nov 03, 2010 6:43 pm

The answers to the frog investigation are
no.1
x o
x o
o x
o x
no.2
x x o o
x x o o
x o x o
x o x o
o x x o
o x o x
o x o x
o o x x
o o x x
no.3
x x x o o o
x x x o o o
x x o x o o
x x o x o o
x x o o x o
x o x o x o
x o x o x o
o x x o x o
o x o x x o
o x o x o x
o x o x o x
o x o o x x
o o x o x x
o o x o x x
o o o x x x
o o o x x x
no.4
x x x x o o o o
x x x x o o o o
x x x o x o o o
x x x o x o o o
x x x o o x o o
x x o x o x o o
x x o x o x o o
x o x x o x o o
x o x o x x o o
x o x o x o x o
x o x o x o x o
x o x o x o o x
x o x o o x o x
x o o x o x o x
o x o x o x o x
o x o x o x o x
o o x x o x o x
o o x o x x o x
o o x o x o x x
o o x o x o x x
o o x o o x x x
o o o x o x x x
o o o x o x x x
o o o o x x x x
o o o o x x x x

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???

Post  Meejin on Sat Nov 06, 2010 7:58 am

I don't really get Kal's answer.He should put a space between.Next, I tried to do it too....
a)
G R
GR 3MOVES
RG
R G
b)
GG RR
G GRR
GRG R
GRGR
GR RG 8MOVES
RGRG
R GRG
RRG G
RR GG
c)
GGG RRR
GG GRRR
GGRG RR
GGRGR R
GGR RGR
G RGRGR
GRGRGR
RG GRGR
RGRG GR 15MOVES
RGRGRG
RGRGR G
RGR RGG
R RGRGG
RR GRGG
RRRG GG
RRR GGG
d)
GGGG RRRR
GGG GRRRR
GGGRG RRR
GGGRGR RR
GGGR RGRR
GG RGRGRR
G GRGRGRR
GRG GRGRR
GRGRG GRR
GRGRGRG R
GRGRGRGR
GRGRGR RG
GRGR RGRG
GR RGRGRG
RGRGRGRG
R GRGRGRG
RRG GRGRG
RRGRG GRG 24MOVES
RRGRGRG G
RRGRGR GG
RRGR RGGG
RR RGRGGG
RRR GRGGG
RRRRG GGG
RRRR GGGG

e) I think there is a pattern.First was 3moves, 8moves,15moves,24moves.
3+5=8 8+7=15 15+9=24
5+2=7 7+2=9
Another pattern is when we are doing frog investigation, we haver to make it like...
ex) RGRGRGR then we change the places.


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Perhaps i figured it out..

Post  CrAyaan on Sat Nov 06, 2010 7:07 pm

I Cant say anything that Meejin Hasn't said, so (Insert quote here!)
Good finding! Smile

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Well done Meejin

Post  Admin on Sun Nov 07, 2010 7:27 am

That is excellent! Very well done Meejin

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