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|3 | |3 | ||
|11x52, 13x44, 22x26 | |11x52, 13x44, 22x26 | ||
| + | |- | ||
| + | !12 | ||
| + | |3 | ||
| + | |13x56, 14x52, 26x28 | ||
| + | |- | ||
| + | !13 | ||
| + | |2 | ||
| + | |13x70, 26x35 | ||
| + | |- | ||
| + | !14 | ||
| + | |5 | ||
| + | |14x80, 16x70, 20x56, 28x40, 32x35 | ||
| + | |- | ||
| + | !15 | ||
| + | |4 | ||
| + | |16x85, 17x80, 20x68, 34x40 | ||
| + | |- | ||
| + | !16 | ||
| + | |4 | ||
| + | |16x102, 17x96, 32x51, 34x48 | ||
| + | |- | ||
| + | !17 | ||
| + | |4 | ||
| + | |17x114, 19x102, 34x57 38x51 | ||
| + | |- | ||
| + | !18 | ||
| + | |6 | ||
| + | |19x120, 20x114, 24x95, 30x76, 38x60, 40x57 | ||
| + | |- | ||
| + | !19 | ||
| + | |5 | ||
| + | |19x140, 20x133, 28x95, 35x76, 38x70 | ||
| + | |- | ||
| + | !20 | ||
| + | |7 | ||
| + | |20x154, 22x140, 28x110, 35x88, 40x77, 44x70, 55x56 | ||
|} | |} | ||
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21 3 22x161, 23x154, 46x77 | 21 3 22x161, 23x154, 46x77 | ||
22 4 22x184, 23x176, 44x92, 46x88 | 22 4 22x184, 23x176, 44x92, 46x88 | ||
Revision as of 16:34, 22 September 2012
Dit wordt de Almost Squares - pagina
Introductie
Tiling Almost Squares van orde n (ASn) is het plaatsen van tegels 1x2, 2x3, ... , nxn+1 in een frame.
Almost Squares in Almost Squares (ASQAS) is een subest van AS waarbij het frame zelf ook een almost-square is. Er zijn precies vijf instanties van ASQAS (1,3,8,20 en34) en ze hebben allemaal oplossingen.
Frames voor Almost Squares
De volgende framedimensies hebben precies genoeg oppervlakte om de tegels te kunnen inpassen, en de smalste van de twee dimensies is nog groot genoeg om de breedste tegel te kunnen passen.
| n | #Eligible Frames | Eligible Frames |
|---|---|---|
| 1 | 1 | 1x2 |
| 2 | 1 | 2x4 |
| 3 | 1 | 4x5 |
| 4 | 2 | 4x10, 5x8 |
| 5 | 2 | 5x14, 7x10 |
| 6 | 2 | 7x16, 8x14 |
| 7 | 3 | 7x24, 8x21, 12x14 |
| 8 | 4 | 8x30, 10x24, 12x20, 15x16 |
| 9 | 3 | 10x33, 11x30, 15x22 |
| 10 | 3 | 10x44, 11x40, 20x22 |
| 11 | 3 | 11x52, 13x44, 22x26 |
| 12 | 3 | 13x56, 14x52, 26x28 |
| 13 | 2 | 13x70, 26x35 |
| 14 | 5 | 14x80, 16x70, 20x56, 28x40, 32x35 |
| 15 | 4 | 16x85, 17x80, 20x68, 34x40 |
| 16 | 4 | 16x102, 17x96, 32x51, 34x48 |
| 17 | 4 | 17x114, 19x102, 34x57 38x51 |
| 18 | 6 | 19x120, 20x114, 24x95, 30x76, 38x60, 40x57 |
| 19 | 5 | 19x140, 20x133, 28x95, 35x76, 38x70 |
| 20 | 7 | 20x154, 22x140, 28x110, 35x88, 40x77, 44x70, 55x56 |
21 3 22x161, 23x154, 46x77
22 4 22x184, 23x176, 44x92, 46x88
23 5 23x200, 25x184, 40x115, 46x100, 50x92
24 6 25x208, 26x200, 40x130, 50x104, 52x100, 65x80
25 8 25x234, 26x225, 30x195, 39x150, 45x130, 50x117, 65x90, 75x78
26 10 26x252, 28x234, 36x182, 39x168, 42x156, 52x126, 56x117, 63x104,72x91, 78x84
27 7 28x261, 29x252, 36x203, 42x174, 58x126, 63x116, 84x87
28 7 28x290, 29x280, 35x232, 40x203, 56x145, 58x140, 70x116
29 4 29x310, 31x290, 58x155, 62x145
30 6 31x320, 32x310, 40x248, 62x160, 64x155, 80x124,
31 5 31x352, 32x341, 44x248, 62x176, 88x124
32 6 32x374, 34x352, 44x272, 64x187, 68x176, 88x136
33 7 34x385, 35x374, 55x238, 70x187, 77x170, 85x154, 110x119
34 14 34x420, 35x408, 40x357, 42x340, 51x280, 56x255, 60x238, 68x210,70x204, 84x170, 85x168, 102x140, 105x136, 119x120
Ik geloof niet dat dit HEEL leesbaar is...
| Maand | jan | feb | mar | apr | mei | jun | jul | aug | sep | okt | nov | dec | Jaar |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Gem. hoogste temp. (°C) | 5,6 | 6,4 | 10,0 | 14,0 | 18,0 | 20,4 | 22,8 | 22,6 | 19,1 | 14,6 | 9,6 | 6,1 | 14,1 |
| Gem. laagste temp. (°C) | 0,3 | 0,2 | 2,3 | 4,1 | 7,8 | 10,5 | 12,8 | 12,3 | 9,9 | 6,9 | 3,6 | 1,0 | 6,0 |