For regular six piece burrs we are looking at rods of the size 2*2*6.
Since each piece can have 12 of the 24 cubes removed
there are potentially 212=4096
possible pieces.
By excluding disjoint and duplicate rods there are exactly
837 unique ones, of which 59 are notchable.
Of those 59 notchable ones, only 25 can be used to build solid
burrs.
Following is a list of these 25 pieces:
| # |
Piece |
type |
Weight |
Internal Corners |
Full Back |
| 1 1111
1111
11
11 |
+----+----+----+----+----+----+
/ /|
+ + |
/ / +
+----+----+----+----+----+----+ |
| | |
| | +
+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
12 |
0 |
* |
| 18 0111
0111
11
11 |
+----+ +----+----+----+----+
/ /| / /|
+ + | + + |
/ / +-/ / +
+----+ / +----+----+----+----+ |
| | + | | |
| |/ | | +
+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
10 |
0 |
* |
| 35 1011
1011
11
11 |
+----+----+ +----+----+----+
/ /| / /|
+ + | + + |
/ / +-/ / +
+----+----+ / +----+----+----+ |
| | + | | |
| |/ | | +
+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
10 |
0 |
* |
| 52 0011
0011
11
11 |
+----+ +----+----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+ / +----+----+----+ |
| | + | | |
| |/ | | +
+ +----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
8 |
0 |
* |
| 86 0101
0101
11
11 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | + + | + + |
/ / +-/ / +-/ / +
+----+ / +----+ / +----+----+ |
| | + | | + | | |
| |/ | |/ | | +
+ +----+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
8 |
0 |
* |
| 103 1001
1001
11
11 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | + | | |
| |/ | | +
+ +----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
8 |
0 |
* |
| 120 0001
0001
11
11 |
+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+ / +----+----+ |
| | + | | |
| |/ | | +
+ +----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
6 |
0 |
* |
| 154 0110
0110
11
11 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +-/ / +-/ / +
+----+ / +----+----+ / +----+ |
| | + | | + | | |
| |/ | |/ | | +
+ +----+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
8 |
0 |
* |
| 188 0010
0010
11
11 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +----+-/ / +-/ / +
+----+ / +----+ / +----+ |
| | + | | + | | |
| |/ | |/ | | +
+ +----+----+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
6 |
0 |
* |
| 256 0000
0000
11
11 |
+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+----+-/ / +
+----+ / +----+ |
| | + | | |
| |/ | | +
+ +----+----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
4 |
0 |
* |
| 359 1001
1001
11
01 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | +----+ | | |
| | | / | | +
+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
7 |
0 |
|
| 615 1001
1001
11
10 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | + +--| | |
| |/ /| | | +
+ +----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
7 |
0 |
|
| 792 0111
0001
11
00 |
+----+ +----+----+----+----+
/ /| / /|
+ + | +----+----+ + |
/ / +--| / / +
+----+ / | +----+----+ |
| | + + | | |
| |/ /| | | +
+ +----+ | + + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 824 0011
0001
11
00 |
+----+ +----+----+----+
/ /| / /|
+ + | +----+ + |
/ / +----+--| / / +
+----+ / | +----+----+ |
| | + +----+ | | |
| |/ /| | | +
+ +----+ | + + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 856 0101
0001
11
00 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+----+ |
| | + + +--| | |
| |/ /| | | +
+ +----+ | + + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 871 1001
1001
11
00 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | +----+--| | |
| | | | | +
+ + | + + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
6 |
0 |
|
| 888 0001
0001
11
00 |
+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+ / +----+----+ |
| | + +----+--| | |
| |/ /| | | +
+ +----+ | + + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
4 |
0 |
|
| 911 1110
1000
11
00 |
+----+----+----+----+ +----+
/ /| / /|
+ +----+----+ | + + |
/ /| | +-/ / +
+----+----+ | |/ +----+ |
| | + + | | |
| | | / | | +
+ + | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 928 0110
0000
11
00 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | +----+----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+ |
| | + + + | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
4 |
0 |
|
| 943 1010
1000
11
00 |
+----+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+----+ / | |/ +----+ |
| | +----+ + | | |
| | | / | | +
+ + | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 960 0010
0000
11
00 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +----+--| | +-/ / +
+----+ / | |/ +----+ |
| | + +----+ + | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
3 |
0 |
|
| 975 1100
1000
11
00 |
+----+----+----+ +----+
/ /| / /|
+ +----+ | + + |
/ /| | +----+-/ / +
+----+----+ | |/ +----+ |
| | + +----+ | | |
| | | / | | +
+ + | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 992 0100
0000
11
00 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +----+-/ / +
+----+ / | |/ +----+ |
| | + + +----+ | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
3 |
0 |
|
| 1007 1000
1000
11
00 |
+----+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+----+ / +----+ |
| | +----+----+ | | |
| | | / | | +
+ + | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
4 |
0 |
|
| 1024 0000
0000
11
00 |
+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+----+-/ / +
+----+ / +----+ |
| | + +----+----+ | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +----+--| | +
| |/ | |/
+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
2 |
0 |
|
