StatusReleased
CategoryOther
PlatformsHTML5
Authorbeekie

Comments

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I wonder how many are solvable.

(1 edit) (-2)

There exist 6 possible states for every square on these 5 by 5 grids. Using the formula: nCr = n!/(n-r)!r! --

(where n is the 5 by 5 grid (5x5=25) and r is the possible states (6, not accounting rules of which stop one object tiling the plane or 3 figures of a person) 

-- we get 25!/(25-6)!6! which simplifies to 25!/19!6! and when solved, we get 177,100.

When put on a grid, ( sqrt(177,100) ) we get a 420.83250825 by 420.83250825 grid.

Yours well exceeds over a thousand. Either there is a problem with your program or this "library" is infinite. The concept of the Library, Canvas, Box, Book, e.t.c., of Babel constitutes the following knowledge, that given every single possible combination or permutation of letter, number, color, or physical particle will contain a noticeable or discernible pattern congruent to the real world.

As your "library" is infinite, it does not hold true to the ethos of babel and therefore, your title is misleading to those who concern themselves with such matters.


                                                           With disappointed looks,

                                                                    Miurl Ultamatus

(+3)

Hi! While I appreciate you testing out my game, I'm pretty sure your math is wrong. nCr is the formula for choosing r objects from a set of n. Note that these choices are dependent—choosing item 1 means you can't choose it again. 

To be frank, I don't know why you thought the Choose formula was the appropriate formula to use. Each choice of object per cell should be independent.

Here's the correct calculation:

To pick the location of the player, choose 1 cell out of the 25. For each of the remaining 24 cells, independently select one of the following: Empty, Crate, Target, Crate and Target, Wall. This is clearly 25*(5^24).

(I left out putting a target under the player, which would multiply the total by 2.)

My code is pretty bad and probably broken, but this bit of math is not. 

Also, you say my library is infinite, but it clearly has a finite number of levels inside it. It does wrap around, but that isn't infinity, it's a torus.

Finally, it's pretty rude to sign off a message to a stranger with "with disappointed looks."

Have a nice day,

Beekie

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