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I don't even get how any of this works, what are the behaviours that define how the creature moves? Why is it that it can move to some places, but not others? What is the relationship between its "head" and its "tail"?

Andrea, please tell me how all of this works.

There's a bit more detail about the mechanic here: Is this enough? There's one key interaction that you must discover but the page above gives you a heavy hint. 

"In order to reach out your tail must be able to shrink in the exact same direction." I think I get it. Thanks.

Good game, but I am really stuck on level 8. Does anyone have any hints?

Thanks for playing. Just to confirm - level 8 is the one with 5 sandwiches and a 6-cell monster.  Here are some hints:

1. Lbh zhfg svefg tngure gur jubyr obql ba gur evtug-unaq-fvqr
2. Lbh jvyy arrq gb cnex bar terra pryy nobir gur sybngvat oynpx vfynaq gb shyyl zvtengr gb gur evtug
3. Gur gnvy pryy zhfg or va obggbz evtug pbeare orsber lbh nggrzcg gb zvtengr onpx gb gur yrsg

I thought level 6 wasn't too hard.  Level 7, now that one has had me stumped for  6 days!  Give me some clues!

Ooops. I think I underestimated the difficulty of level 7. Other  people got stuck here also. Here are some hints...

1. Pbyyrpg gur fcner terra pryy orsber rngvat rvgure fnaqjvpu
2. Lbh jvyy arrq gb pvephvg gur tevq gjvpr
3. Sbe gur svany nccebnpu tngure nyy svir pryyf gbc evtug - jvgu gur gnvy va gur pbeare

A very difficult game, but it's a clever idea. I'm starting to think level 6 is impossible. Here's the best moves I could find: ururdldllludrrrllluull

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Ah. Yes. That move sequence looks very close, with just one green cell out of position. Your approach is basically in the right direction. Here are some hints in rot13. I think the first one you might already know.

1. nvz gb pyrne gur obggbz evtug 2k2 oybpx bs pryyf 
2. nibvq oernxvat gur oybo va gjb
3. fgneg ol pyrnevat gur pryy va gur prager bs gur evtugzbfg pbyhza

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Sorry I still don't get it, so step 3 is the very first move? So: urldlruurrd ? EDIT wait I got it :D literally a minute later

Sweet! Really looking forward to sinking my teeth into this after work today. These first few levels are already turning my brain into jam. :>

Thanks for giving it a go. Hope you enjoy digging your teeth in a little deeper! :)