Angel vs Demon

Dejection

Posers and Puzzles

23 Apr 08 12:41

O Artem O

ParTizan

Philadelphia, USA

Joined: 05 Jan 07
Moves: 65969

24 Apr 08 02:23

1 edit

no the angel will win just keep moving in one direction and thats it

geepamoogle

Joined: 15 Feb 07
Moves: 667

24 Apr 08 03:12

The angel cannot move forward if he has a burned square in his path. The new version has him making two individual moves, but neither one can land him in a burned area.

I suspect that regardless of how many consecutive orthogonal move an angel can make, that the devil can eventually trap him, although it requires more pre-planning and a greater distance the angel can travel.

I do not, however, have proof of this, and I haven't yet derived a potential solution.

Dejection

Joined: 12 Sep 07
Moves: 2668

24 Apr 08 10:00

I'm fairly sure that if the angel can move three times each day it can escape.

O Artem O

ParTizan

Philadelphia, USA

Joined: 05 Jan 07
Moves: 65969

24 Apr 08 12:16

well think of it if the Angel moves lets just say only north then how can the Demon cant him if he is behind the Angel??

wolfgang59

Quiz Master

RHP Arms

Joined: 09 Jun 07
Moves: 48794

24 Apr 08 12:29

Originally posted by O Artem O
well think of it if the Angel moves lets just say only north then how can the Demon cant him if he is behind the Angel??

"At midnight each day, the demon burns any square on the chess board, except it can't burn the square the angel is currently on"

O Artem O

ParTizan

Philadelphia, USA

Joined: 05 Jan 07
Moves: 65969

24 Apr 08 12:36

yea sooo, the board is infinite just move in the opposite direction

mtthw

Joined: 07 Sep 05
Moves: 35068

24 Apr 08 12:45

Originally posted by O Artem O
yea sooo, the board is infinite just move in the opposite direction

Then the demon will burn the board in that direction. The demon doesn't have to "catch up" with the angel.

wolfgang59

Quiz Master

RHP Arms

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Moves: 48794

24 Apr 08 12:51

Originally posted by O Artem O
yea sooo, the board is infinite just move in the opposite direction

OK
I challenge you on a 9x9 board
You are Angel at E5.
What is your move?

O Artem O

ParTizan

Philadelphia, USA

Joined: 05 Jan 07
Moves: 65969

24 Apr 08 13:05

1 edit

the board is infinite has no dimensions

wolfgang59

Quiz Master

RHP Arms

Joined: 09 Jun 07
Moves: 48794

24 Apr 08 13:59

1 edit

Originally posted by O Artem O
the board is infinite has no dimensions

OK the borad is infinite.
Start on E5 for simplicity.
I will catch you before you get out of the 9x9 square

btw: its infinite but still only 2 dimensions ... no hyper-space jumps! 😉

Palynka

Upward Spiral

Halfway

Joined: 02 Aug 04
Moves: 8702

24 Apr 08 14:08

Originally posted by brobluto
I think 10 spaces for 4-direction and 40 spaces for diagonal work. They may not be the most efficient, but it get's the job done.

I still don't see how the diagonal is possible.

brobluto

Joined: 04 Oct 06
Moves: 11845

24 Apr 08 14:30

Originally posted by Palynka
I still don't see how the diagonal is possible.

If angel moves to (1,1), burn (40,40). angel moves to (2,2), burn (40,39), angel moves to (3,3), burn (39,40) etc

Gastel

B is for bye bye

Joined: 09 Apr 06
Moves: 27526

24 Apr 08 18:31

What are the minimum number of moves for the devil to catch a single-space-diagonal-allowed (SSDA) Angel? Assume of course that the Angel is not helping.

For that matter, what are the minimum moves where the Devil "mates" the Angel, where the Angel helps (but won't make an accidental step onto a burnt square)?

Gastel

B is for bye bye

Joined: 09 Apr 06
Moves: 27526

24 Apr 08 18:31

Can the Devil still catch the Angel if the Angel can repair one square every five turns? Every two turns?

wolfgang59

Quiz Master

RHP Arms

Joined: 09 Jun 07
Moves: 48794

24 Apr 08 18:42

Originally posted by Gastel
Can the Devil still catch the Angel if the Angel can repair one square every five turns? Every two turns?

And what if the Angel can move 3 suares on every prime number move?

😕