Notchable burr puzzles have the big advantage that they are easy to
manufacture. They are thus given special consideration in the published
literature about burr puzzles. Bill Cutlers analysis has shown that there
are 13'354'991 possible assemblies using the 59 notchable pieces. The highest
level notchable burr is a level 10, however it is not a unique solution
and thus not that interesting. The highest level for unique solutions is
5 and there are 139 of them
[Cutler94].
From the following table select the burr you want to explore. Select the
icon
for a static image representation of the burr. These static pages are
good to print a solution on paper which you can take it into your
work shop for making a physical model.
| Burr Designs from Cutlers analysis [Cutler94] |
| Burr |
Description |
 |
Notchable 1-Hole Level-2
Level 2 |
1987: There are only 4 notchable burrs with 1 hole which have a level 2
(or higher) solution. One was chosen at random.
|
 |
Notchable Level-5
Level 5 |
1987: the highest level for unique solutions is 5. There are
139 such burrs. This is one of them.
|
 |
Notchable Level-5 Most Assemblies
Level 5 |
1987: unique level 5 burr with the most (480) false assemblies.
The piece length is 10. If the length is 6 there are 144 solutions
with levels ranging from 2 to 3. With length of 8 there are still
two solutions.
|
 |
Notchable non-unique Level-10
Level 1-10 |
1987: the highest level for non-unique solutions is 10. There are
only 2 such burrs. This is the one with fewer holes. Its level type
is 46AA meaning that at piece length 6 the highest level is 4,
at piece length 8 the highest level is 6, and at length 10 and 12 the
highest level is 10.
|
| Burr Designs by David Winkler [David Winkler's Burr Page] |
 |
David Winkler's level 3 burr
Level 3 |
1996: One of the simplest higher level burrs, this level 3 burr has really
only one solution, neglecting symmetries, and no false solutions.
|
 |
David Winkler's favorite level 5 burr
Level 5.4 |
1996: This is a level-5.4 burr with only one solution, but with 23
apparent solutions.
|
 |
David Winkler's complex level 5 burr
Level 5.4 |
1996: This is a level-5.4 burr with only one solution, but with 143
apparent solutions, the most for notchable burrs of piece-length 6.
|
| Burr Designs by Jürg von Känel |
 |
jvk #25.1
Level 5.2 |
Programs written to conduct my own research for creating
this site. |
 |
jvk #25.2
Level 3 |
