Mark/Squirrel-
weird - i sent this msg this morning and it should have shown up as
msg#6569, but it didn't show up at all.
trying again:
I'm totally looking fwd to your new sorting, converting and fibonacci
levels. I hope you have seen Alexis's sequence "Prime numbers
generator" #436 Special-I.lvl:
"Tests the primality of number N from 2 to 283. N is tested every 14N-
27 moves. The beam passes through only if N is prime. Based on
Eratosthenes' sieve."
I still need to go back and understand how hers works, and then on to
your new ones... how about a time generator!?...
I think the furthest I got in making a difficult solvable sim type of
levels was "hard", by rating of ghs solver, in "Trinary - Triple
Guns" #1295 (Challenge-II.lvl) and the two "Enigma" levels #1293 and
#1294, but I think there is lots of room for improvement to increase
the difficulty and at the same time, keeping a relatively short
solution. Since you sound like you have a handle on the required
concepts, if I were you, I wouldn't give up on trying some
real "solvable" levels. This is not to say that you should give up on
the simulation.lvl, though. I have a couple of ideas that I should
put down in a level... maybe I will... maybe I will... first the time
generator...
Re: ridiculously long levels, the fun may not be over. While the
general structure of the base cells is now pretty much defined, it
doesn't mean that there isn't something else out there. After all, we
were thrashing the crap out of the base 3 cell to squeeze out
slightly longer levels for ages until the quinary base appeared, and
then trinary became moot as moot gets. For the moment, it does seem
that the quinary cell is the most compact of all the bases. If anyone
ever DID modify LT playbacks, it would need only a relatively simple
compression algorithm to record them, like, instead of "UP UP UP
UP..." it would be read "UP times a zillion and 3".
I'll think about your series... meanwhile my answer is "42", what
with "42" being "The Answer to Life, the Universe, and Everything",
so it must be right :)
0, 1, 2, ...?
I think probably has a bit too many possibilities.
0, 1, 2, 5, 26, n^2 + 1, ...
could fit.
without imaginary "i" (square root of -1, which is just a number
imagined by humans to do certain kinds of (ironically) real-world
math applications), one can't have solution for:
n^2 + 1 =0
so there is no extrapolation "left".
This is one series that satisfies the boundaries of your series, as
specified, so far :)
funny how there's no singular "sery", just singular and
plural "series".
-Steve/Horst
PS.
how about this one-
0, 1, 3, 6, 10, 16, 24, 34, ...?
(base ten, whole numbers, nonalphabetical, nothing to the left, etc.)
weird - i sent this msg this morning and it should have shown up as
msg#6569, but it didn't show up at all.
trying again:
I'm totally looking fwd to your new sorting, converting and fibonacci
levels. I hope you have seen Alexis's sequence "Prime numbers
generator" #436 Special-I.lvl:
"Tests the primality of number N from 2 to 283. N is tested every 14N-
27 moves. The beam passes through only if N is prime. Based on
Eratosthenes' sieve."
I still need to go back and understand how hers works, and then on to
your new ones... how about a time generator!?...
I think the furthest I got in making a difficult solvable sim type of
levels was "hard", by rating of ghs solver, in "Trinary - Triple
Guns" #1295 (Challenge-II.lvl) and the two "Enigma" levels #1293 and
#1294, but I think there is lots of room for improvement to increase
the difficulty and at the same time, keeping a relatively short
solution. Since you sound like you have a handle on the required
concepts, if I were you, I wouldn't give up on trying some
real "solvable" levels. This is not to say that you should give up on
the simulation.lvl, though. I have a couple of ideas that I should
put down in a level... maybe I will... maybe I will... first the time
generator...
Re: ridiculously long levels, the fun may not be over. While the
general structure of the base cells is now pretty much defined, it
doesn't mean that there isn't something else out there. After all, we
were thrashing the crap out of the base 3 cell to squeeze out
slightly longer levels for ages until the quinary base appeared, and
then trinary became moot as moot gets. For the moment, it does seem
that the quinary cell is the most compact of all the bases. If anyone
ever DID modify LT playbacks, it would need only a relatively simple
compression algorithm to record them, like, instead of "UP UP UP
UP..." it would be read "UP times a zillion and 3".
I'll think about your series... meanwhile my answer is "42", what
with "42" being "The Answer to Life, the Universe, and Everything",
so it must be right :)
0, 1, 2, ...?
I think probably has a bit too many possibilities.
0, 1, 2, 5, 26, n^2 + 1, ...
could fit.
without imaginary "i" (square root of -1, which is just a number
imagined by humans to do certain kinds of (ironically) real-world
math applications), one can't have solution for:
n^2 + 1 =0
so there is no extrapolation "left".
This is one series that satisfies the boundaries of your series, as
specified, so far :)
funny how there's no singular "sery", just singular and
plural "series".
-Steve/Horst
PS.
how about this one-
0, 1, 3, 6, 10, 16, 24, 34, ...?
(base ten, whole numbers, nonalphabetical, nothing to the left, etc.)
--- In [email protected], "Mark" <secret.squirrel@...> wrote:
>
> Hey Steve
>
> I have not as yet created a good level that uses either addition or
a
> clock/timer mechanism as an integral part of the solution. However,
I
> had done a couple of weak levels that were really just to show off
the
> workings but when LFE the FLE released his adder without bothering
to
> make it a playable level, I thought "What a good idea" and followed
> suit.
>
> As you may be aware, I am currently releasing sets of my earlier
> levels that I actually designed using version 2 of LT, most of
which
> were written back in 2000 (I have only recently joined the group).
Set
> 6 is the next due but I may hold off until the gaps created by The
> Great Gary Extraction are filled so my levels are not out of
sequence.
> Stay with me - this is leading somewhere...
>
> I have a number of sim-type levels in my Sets 10 and 11 which I
think
> are good enough to play as levels. I don't want to give too much
away
> in case Mr FLE gazumps me again :-) but they include one that sorts
> objects, a code reader and copier, and a binary to unary converter.
I
> also have one that generates fibonacci numbers. It's not a sim but
I
> thought you'd like to know :-)
>
> I'm just sorry that I was too late to join in the fun you, Alexis
and
> others had seeing how ridiculously long you could make your levels.
> The idea that if you started playing Quinary Counter II as soon as
our
> universe came into existance, you'd now be less than 1/10,000th the
> way towards the solution is absolutely wicked! Makes the debate
about
> increasing the number of steps recordable in an LPB beyond the
current
> 2-byte limit rather moot.
>
> To finish, since you seem to like a bit of maths:
> What is the next number in the following series? 0, 1, 2, ?.
> And, no, I'm not looking for the obvious answer.
>
> Mark