MeesterDaan (talk | contribs) (→Frames voor Almost Squares) |
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{| class="wikitable" style="text-align: right; float:right; margin-left: 1em; margin-bottom: 1em; font-size: 85%;" | {| class="wikitable" style="text-align: right; float:right; margin-left: 1em; margin-bottom: 1em; font-size: 85%;" | ||
| − | |+ | + | |+Eligible frames voor Almost Squares n=1...34 |
| − | ! | + | ! n |
! #Eligible Frames | ! #Eligible Frames | ||
! Eligible Frames | ! Eligible Frames | ||
| Line 35: | Line 35: | ||
|2 | |2 | ||
|4x10,5x8 | |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 | 12 3 13x56, 14x52, 26x28 | ||
13 2 13x70, 26x35 | 13 2 13x70, 26x35 | ||
Revision as of 00:08, 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 |