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Search: Posts Made By: R. Gerbicz
Forum: Puzzles 2017-01-05, 09:06
Replies: 44
Views: 10,644
Posted By R. Gerbicz
After a half day of search the possible number of...

After a half day of search the possible number of rectangles in optimal tilings for n=3..29

ps. Note that I've used a slightly different strategy: in the main search for fixed defect looking for...
Forum: Puzzles 2017-01-02, 19:34
Replies: 44
Views: 10,644
Posted By R. Gerbicz
The last one: n=45 was the hardest, it took...

The last one: n=45 was the hardest, it took roughly 1 day (do not have the precise time).
Forum: Puzzles 2017-01-01, 13:42
Replies: 44
Views: 10,644
Posted By R. Gerbicz
For the modified puzzle (when different...

For the modified puzzle (when different orientation of the rectangle is permitted) computed up to n=45, see the tilings at https://oeis.org/A279596/a279596.txt
One crazy tiling is for n=29, this is...
Forum: Puzzles 2016-12-30, 23:55
Replies: 44
Views: 10,644
Posted By R. Gerbicz
Found nothing for a(99), but for a(60): ...

Found nothing for a(99), but for a(60):


a(60)<=16
aaaaaaaaaaaaaaaagggggffffffffffffffffffffffffffffffffffbbbbb
aaaaaaaaaaaaaaaagggggffffffffffffffffffffffffffffffffffbbbbb...
Forum: Puzzles 2016-12-29, 19:54
Replies: 44
Views: 10,644
Posted By R. Gerbicz
In my latest codes first I'm searching for...

In my latest codes first I'm searching for deficient=0, if not found a solution then see for deficient=1 etc. until we not find a solution. But your numbers could give us what is an easy problem,...
Forum: Puzzles 2016-12-28, 01:05
Replies: 44
Views: 10,644
Posted By R. Gerbicz
My new code really rocks, found the values of...

My new code really rocks, found the values of a(45)-a(57) for the original puzzle [previously we have known only a(47) in this range]. Made changes at the sequence, and uploaded optimal tilings for...
Forum: Puzzles 2016-12-13, 22:42
Replies: 44
Views: 10,644
Posted By R. Gerbicz
I've found the optimal values for n=3..27 //...

I've found the optimal values for n=3..27

// rectangle's different orientation is permitted
a(3)=2
aab
ccb
ccb

a(4)=2
aaab
Forum: Puzzles 2016-12-05, 08:59
Replies: 44
Views: 10,644
Posted By R. Gerbicz
For the first case: it is impossible to pack that.

For the first case: it is impossible to pack that.
Forum: Puzzles 2016-12-02, 15:40
Replies: 44
Views: 10,644
Posted By R. Gerbicz
Yeah, those were easy cases, just to fill the...

Yeah, those were easy cases, just to fill the gaps:
I've found with my improved code a(33)-a(44) and a larger one: a(47), these are (showing also my solution for n=37,38)


a(33)=12...
Forum: Puzzles 2016-12-01, 21:35
Replies: 44
Views: 10,644
Posted By R. Gerbicz
Yes, these has been found with an exhaustive...

Yes, these has been found with an exhaustive search, hence there is no better solution. Still working on some larger n values.
Forum: Puzzles 2016-11-30, 22:06
Replies: 44
Views: 10,644
Posted By R. Gerbicz
Thanks! Optimal solutions for n=29,30,31,32:...

Thanks!

Optimal solutions for n=29,30,31,32:

a(29)=9
aaaaaaaaaaaaaaaaaaaaaaaaabbbb
aaaaaaaaaaaaaaaaaaaaaaaaabbbb
aaaaaaaaaaaaaaaaaaaaaaaaabbbb
cccddddddddeeeeeeeeefffffbbbb...
Forum: Puzzles 2016-11-28, 23:33
Replies: 44
Views: 10,644
Posted By R. Gerbicz
Really fascinating puzzle! My exahaustive code...

Really fascinating puzzle!
My exahaustive code gives the following better solutions (these are optimal):
a(14)=6 (!!!)

aaaaaaaaaabbbb
aaaaaaaaaabbbb
aaaaaaaaaabbbb
cccdddddddbbbb...
Showing results 1 to 12 of 12

 
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