6 piece burr sets and burr tools
Posted: Sun May 10, 2015 10:15 am
I have very recently been plunged into the world of burr puzzles.
The natural entry for me has benn to purchase a set of 20 pieces, which according to the manufacturer can produce 151 different 6 piece burrs.
I have an issues with this, which is that many of the burr's uses the same 6 pieces, but in different assemblies, however this makes it impossible to know if i have solved the puzzle proposed in the list, or another one with the same pieces, except if i look at the solution (which i dont).
I have seen that for the creative crafthouse 27 piece burr set, Zen Puzzler made a pdf with interesting analysis of the possible assemblies, and he has somehow taken the solutions proposed by burr tools and removed all the assemblies/solutions, that include the same 6 pieces, leaving him with 535 combinations of 6 pieces, that only have one solution.
How do i achieve this in burr tools, it gives me an insane amount of solutions with holey burr's and i can see that some of the 6 piece combinations have 150+ solutions, but i see no way to filter them, without going through them manually, and deleting "duplicates".
Another thing i stumbled upon during this was a mention that in a holey 6 piecs burr, there can only be 20 holes in the completed assembly, of the 32 possible holes. Can anyone explain the reason/math behind that?
I should point out that it's not a mystery to me that not all 32 possible holes can be empty in an assembled burr, but how is the specific 20 holes decided upon?
The natural entry for me has benn to purchase a set of 20 pieces, which according to the manufacturer can produce 151 different 6 piece burrs.
I have an issues with this, which is that many of the burr's uses the same 6 pieces, but in different assemblies, however this makes it impossible to know if i have solved the puzzle proposed in the list, or another one with the same pieces, except if i look at the solution (which i dont).
I have seen that for the creative crafthouse 27 piece burr set, Zen Puzzler made a pdf with interesting analysis of the possible assemblies, and he has somehow taken the solutions proposed by burr tools and removed all the assemblies/solutions, that include the same 6 pieces, leaving him with 535 combinations of 6 pieces, that only have one solution.
How do i achieve this in burr tools, it gives me an insane amount of solutions with holey burr's and i can see that some of the 6 piece combinations have 150+ solutions, but i see no way to filter them, without going through them manually, and deleting "duplicates".
Another thing i stumbled upon during this was a mention that in a holey 6 piecs burr, there can only be 20 holes in the completed assembly, of the 32 possible holes. Can anyone explain the reason/math behind that?
I should point out that it's not a mystery to me that not all 32 possible holes can be empty in an assembled burr, but how is the specific 20 holes decided upon?