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 78 are millable, all of which can be used
to build solid burrs.
Following is a list of all 78 millable 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 |
* |
| 88 0101
0001
11
11 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+----+ |
| | + +----+ | | |
| |/ | | +
+ +----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
millable32
millable
general32
general
|
7 |
0 |
* |
| 103 1001
1001
11
11 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | + | | |
| |/ | | +
+ +----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
8 |
0 |
* |
| 118 0001
0101
11
11 |
+----+ +----+----+
/ /| / /|
+ + | +----+ + + |
/ / +-/ /|-+-/ / +
+----+ / +----+ | +----+----+ |
| | + | | + | | |
| |/ | |/ | | +
+ +----+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
millable32
millable
general32
general
|
7 |
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 |
* |
| 160 0110
0000
11
11 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | +----+----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+ |
| | + +----+----+ | | |
| |/ | | +
+ +----+----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
millable32
millable
general32
general
|
6 |
0 |
* |
| 188 0010
0010
11
11 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +----+-/ / +-/ / +
+----+ / +----+ / +----+ |
| | + | | + | | |
| |/ | |/ | | +
+ +----+----+ +----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
6 |
0 |
* |
| 192 0010
0000
11
11 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +----+--| | +-/ / +
+----+ / | |/ +----+ |
| | + +----+ | | |
| |/ | | +
+ +----+----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
millable32
millable
general32
general
|
5 |
0 |
* |
| 224 0100
0000
11
11 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +----+-/ / +
+----+ / | |/ +----+ |
| | + +----+ | | |
| |/ | | +
+ +----+----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
millable32
millable
general32
general
|
5 |
0 |
* |
| 256 0000
0000
11
11 |
+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+----+-/ / +
+----+ / +----+ |
| | + | | |
| |/ | | +
+ +----+----+----+----+ + /
| | +
| |/
+----+----+----+----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
|
4 |
0 |
* |
| 276 0111
0011
11
01 |
+----+ +----+----+----+----+
/ /| / /|
+ + | +----+ + |
/ / +--| / / +
+----+ / | +----+----+----+ |
| | + + | | |
| |/ /| | | +
+ +----+ | + + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
8 |
0 |
|
| 291 1011
1011
11
01 |
+----+----+ +----+----+----+
/ /| / /|
+ + | + + |
/ / +-/ / +
+----+----+ / +----+----+----+ |
| | +--| | |
| | | | | +
+ + | + + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
burr3
|
9 |
0 |
|
| 308 0011
0011
11
01 |
+----+ +----+----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+ / +----+----+----+ |
| | + +--| | |
| |/ /| | | +
+ +----+ | + + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
7 |
0 |
|
| 327 1101
1001
11
01 |
+----+----+----+ +----+----+
/ /| / /|
+ +----+ | + + |
/ /| | +-/ / +
+----+----+ | |/ +----+----+ |
| | + + | | |
| | | / | | +
+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
burr3
|
8 |
0 |
|
| 344 0101
0001
11
01 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+----+ |
| | + + + | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 359 1001
1001
11
01 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | +----+ | | |
| | | / | | +
+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
7 |
0 |
|
| 376 0001
0001
11
01 |
+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+ / +----+----+ |
| | + +----+ | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 395 1110
1010
11
01 |
+----+----+----+----+ +----+
/ /| / /|
+ +----+ + | + + |
/ /| / / +-/ / +
+----+----+ | +----+ / +----+ |
| | + | | + | | |
| | | | |/ | | +
+ + | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
8 |
0 |
|
| 399 1110
1000
11
01 |
+----+----+----+----+ +----+
/ /| / /|
+ +----+----+ | + + |
/ /| | +-/ / +
+----+----+ | |/ +----+ |
| | + +----+ | | |
| | | / | | +
+ + | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
7 |
0 |
|
| 412 0110
0010
11
01 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | +----+ + | + + |
/ / +--| / / +-/ / +
+----+ / | +----+ / +----+ |
| | + + | | + | | |
| |/ /| | |/ | | +
+ +----+ | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 416 0110
0000
11
01 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | +----+----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+ |
| | + + +----+ | | |
| |/ /| / | | +
+ +----+ | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
5 |
0 |
|
| 427 1010
1010
11
01 |
+----+----+ +----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +-/ / +-/ / +
+----+----+ / +----+ / +----+ |
| | +--| | + | | |
| | | | |/ | | +
+ + | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
7 |
0 |
|
| 431 1010
1000
11
01 |
+----+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+----+ / | |/ +----+ |
| | +----+----+ | | |
| | | / | | +
+ + | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
6 |
0 |
|
| 444 0010
0010
11
01 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +----+-/ / +-/ / +
+----+ / +----+ / +----+ |
| | + +--| | + | | |
| |/ /| | |/ | | +
+ +----+ | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 448 0010
0000
11
01 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +----+--| | +-/ / +
+----+ / | |/ +----+ |
| | + +----+----+ | | |
| |/ /| / | | +
+ +----+ | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
4 |
0 |
|
| 463 1100
1000
11
01 |
+----+----+----+ +----+
/ /| / /|
+ +----+ | + + |
/ /| | +----+-/ / +
+----+----+ | |/ +----+ |
| | + + | | |
| | | / | | +
+ + | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 480 0100
0000
11
01 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +----+-/ / +
+----+ / | |/ +----+ |
| | + + + | | |
| |/ /| / | | +
+ +----+ | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
4 |
0 |
|
| 491 1000
1010
11
01 |
+----+----+ +----+
/ /| / /|
+ + | +----+ + + |
/ / +-/ /|-+-/ / +
+----+----+ / +----+ | +----+ |
| | +--| | + | | |
| | | | |/ | | +
+ + | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
6 |
0 |
|
| 495 1000
1000
11
01 |
+----+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+----+ / +----+ |
| | +----+ | | |
| | | / | | +
+ + | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 508 0000
0010
11
01 |
+----+ +----+
/ /| / /|
+ + | +----+ + + |
/ / +----+-/ /|-+-/ / +
+----+ / +----+ | +----+ |
| | + +--| | + | | |
| |/ /| | |/ | | +
+ +----+ | + +----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
millable32
millable
general32
general
|
4 |
0 |
|
| 512 0000
0000
11
01 |
+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+----+-/ / +
+----+ / +----+ |
| | + +----+ | | |
| |/ /| / | | +
+ +----+ | +----+----+ + /
| | +--| | +
| |/ | |/
+----+----+ +----+----+----+
|
notchable
millable32
millable
general32
general
|
3 |
0 |
|
| 534 0111
0101
11
10 |
+----+ +----+----+----+----+
/ /| / /|
+ + | + +----+ + |
/ / +-/ /| / / +
+----+ / +----+ | +----+----+ |
| | + | | + | | |
| |/ | | | | | +
+ +----+ + | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
8 |
0 |
|
| 536 0111
0001
11
10 |
+----+ +----+----+----+----+
/ /| / /|
+ + | +----+----+ + |
/ / +--| / / +
+----+ / | +----+----+ |
| | + +----+ | | |
| |/ /| | | +
+ +----+----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
millable32
millable
general32
general
|
7 |
0 |
|
| 551 1011
1001
11
10 |
+----+----+ +----+----+----+
/ /| / /|
+ + | +----+ + |
/ / +--| / / +
+----+----+ / | +----+----+ |
| | + + | | |
| |/ /| | | +
+ +----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
burr3
|
8 |
0 |
|
| 568 0011
0001
11
10 |
+----+ +----+----+----+
/ /| / /|
+ + | +----+ + |
/ / +----+--| / / +
+----+ / | +----+----+ |
| | + + | | |
| |/ /| | | +
+ +----+----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 598 0101
0101
11
10 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | + + | + + |
/ / +-/ / +-/ / +
+----+ / +----+ / +----+----+ |
| | + | | +--| | |
| |/ | | | | | +
+ +----+ + | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
7 |
0 |
|
| 600 0101
0001
11
10 |
+----+ +----+ +----+----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+----+ |
| | + +----+--| | |
| |/ /| | | +
+ +----+----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
millable32
millable
general32
general
|
6 |
0 |
|
| 615 1001
1001
11
10 |
+----+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+ / +----+----+ |
| | + +--| | |
| |/ /| | | +
+ +----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable32
notchable
millable32
millable
general32
general
burr3
|
7 |
0 |
|
| 630 0001
0101
11
10 |
+----+ +----+----+
/ /| / /|
+ + | +----+ + + |
/ / +-/ /|-+-/ / +
+----+ / +----+ | +----+----+ |
| | + | | +--| | |
| |/ | | | | | +
+ +----+ + | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
millable32
millable
general32
general
|
6 |
0 |
|
| 632 0001
0001
11
10 |
+----+ +----+----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+ / +----+----+ |
| | + +--| | |
| |/ /| | | +
+ +----+----+ | + + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 653 1110
1100
11
10 |
+----+----+----+----+ +----+
/ /| / /|
+ +----+ | + + |
/ /| | +-/ / +
+----+----+----+ | |/ +----+ |
| | + + | | |
| | | / | | +
+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
8 |
0 |
|
| 670 0110
0100
11
10 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | + +----+ | + + |
/ / +-/ /| | +-/ / +
+----+ / +----+ | |/ +----+ |
| | + | | + + | | |
| |/ | | | / | | +
+ +----+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 672 0110
0000
11
10 |
+----+ +----+----+ +----+
/ /| / /| / /|
+ + | +----+----+ | + + |
/ / +--| | +-/ / +
+----+ / | |/ +----+ |
| | + +----+ + | | |
| |/ /| / | | +
+ +----+----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
millable32
millable
general32
general
|
5 |
0 |
|
| 687 1010
1000
11
10 |
+----+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +-/ / +
+----+----+ / | |/ +----+ |
| | + + + | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
6 |
0 |
|
| 704 0010
0000
11
10 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +----+--| | +-/ / +
+----+ / | |/ +----+ |
| | + + + | | |
| |/ /| / | | +
+ +----+----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
4 |
0 |
|
| 717 1100
1100
11
10 |
+----+----+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+-/ / +
+----+----+----+ / +----+ |
| | +----+ | | |
| | | / | | +
+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
7 |
0 |
|
| 734 0100
0100
11
10 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | + + | + + |
/ / +-/ / +----+-/ / +
+----+ / +----+ / +----+ |
| | + | | +----+ | | |
| |/ | | | / | | +
+ +----+ + | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 736 0100
0000
11
10 |
+----+ +----+ +----+
/ /| / /| / /|
+ + | +----+ | + + |
/ / +--| | +----+-/ / +
+----+ / | |/ +----+ |
| | + +----+----+ | | |
| |/ /| / | | +
+ +----+----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
millable32
millable
general32
general
|
4 |
0 |
|
| 751 1000
1000
11
10 |
+----+----+ +----+
/ /| / /|
+ + | + + |
/ / +----+----+-/ / +
+----+----+ / +----+ |
| | + +----+ | | |
| |/ /| / | | +
+ +----+ | +----+ + /
| | +--| | +
| |/ | |/
+----+----+----+ +----+----+
|
notchable
millable32
millable
general32
general
|
5 |
0 |
|
| 766 0000
0100
11
10 |
+----+ +----+
/ /| / /|
+ + | +----+ + + |
/ / +-/ /|- |
