Number of Notches  Number of Pieces  Total Area  Constructions  

Twosided Pieces  k odd  1/2*(8Ck)  3/2*(8Ck)  
k even  1/2*(8Ck + (4C(k/2)))  3/2*(8Ck + (4C(k/2)))  
2  16  48  6x8 Rectangle Some symmetric figures 

3  28  84  No rectangle  
1..2  20  60  4x15, 5x12, 6x10 rectangles  
1..3  48  144  6x24, 8x18, 12x12 rectangles  
0..2  21  63  7x9 rectangle  
0..3  49  147  7x21 rectangle  
0..4  87  261  9x29 rectangle  
0..5  115  345  15x23 rectangle  
0..7  135  405  9x45 and 15x27 rectangles pentomino replicas 

0..8  136  408  Two 6x34 rectangles square ring 

Onesided Pieces  k  8Ck  3*(8Ck)  
2  28  84  4x21, 6x14 and 7x12 rectangles jagged square, square ring, cross etc 

3  56  168  7x24, 8x21 and 12x14 rectangles  
1..2  36  108  Three 6x6 squares, 4x27 and 9x12 rectangles, square ring etc 

1..3  92  276  6x46 and 12x23 rectangles  
0..3  93  279  9x31 rectangle 