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m (→‎Frames voor Almost Almost Almost Squares)
m (→‎Frames voor Almost Almost Almost Squares)
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!10
 
!10
 
|550
 
|550
−
|2
+
|3
−
|11x45, 15x33
+
|10x55, 11x50, 22x25
 
|-
 
|-
 
!11
 
!11
 
|704
 
|704
−
|2
+
|3
−
|11x58, 22x29
+
|11x64, 16x44, 22x32
 
|-
 
|-
 
!12
 
!12
 
|884
 
|884
−
|2
+
|3
−
|13x62, 26x31
+
|13x68, 17x52, 26x34
 
|-
 
|-
 
!13
 
!13
 
|1092
 
|1092
−
|1
+
|4
−
|13x77
+
|13x84, 14x78, 21x52, 28x39
 
|-
 
|-
 
!14
 
!14
 
|1330
 
|1330
−
|2        
+
|3        
−
|25x49, 35x35
+
|14x95, 19x70, 35x38
 
|-
 
|-
 
!15
 
!15
 
|1600
 
|1600
−
|4
+
|5
−
|20x74, 37x40
+
|16x100, 20x80, 25x64, 32x50, 40x40
 
|-
 
|-
 
!16
 
!16
 
|1904
 
|1904
−
|3
+
|4
−
|17x104, 26x68, 34x52
+
|16x119, 17x112, 28x68, 34x56
 
|-
 
|-
 
!17
 
!17
 
|2244
 
|2244
−
|2
+
|5
−
|17x123, 41x51
+
|17x132, 22x102, 33x68, 34x66, 44x51
 
|-
 
|-
 
!18
 
!18
 
|2622
 
|2622
 
|2
 
|2
−
|19x129, 43x57
+
|19x138, 23x114, 38x69, 46x57
 
|-
 
|-
 
!19
 
!19
 
|3040
 
|3040
 
|5
 
|5
−
|19x150, 25x114, 30x95, 38x75, 50x57
+
|19x160, 20x152, 32x95, 38x80, 40x76
 
|-
 
|-
 
!20
 
!20
 
|3500
 
|3500
−
|2
+
|5
−
|35x94, 47x70
+
|20x175, 25x140, 28x125, 35x100, 50x70
 
|-
 
|-
 
!21
 
!21
 
|4004
 
|4004
−
|1
+
|5
−
|49x77
+
|22x182, 26x154, 28x143, 44x91, 52x77
 
|-
 
|-
 
!22
 
!22
 
|4554
 
|4554
−
|1
+
|5
 
|22x207, 23x198, 33x138, 46x99, 66x69
 
|22x207, 23x198, 33x138, 46x99, 66x69
 
|-
 
|-
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!25
 
!25
 
|6500
 
|6500
−
|2
+
|5
 
|25x260, 26x250, 50x130, 52x125, 65x100
 
|25x260, 26x250, 50x130, 52x125, 65x100
 
|-
 
|-

Revision as of 20:20, 3 October 2012

Dit is de Tiling Almost Almost Almost Squares (TAAAS)- pagina.

Introductie

Tiling Almost Almost Squares van orde n (AASn) is het plaatsen van tegels 1x4, 2x5, ... , nx(n+3) in een frame.

Almost Almost Almost Squares is gerelateerd aan Almost Squares waar bij tegels van nx(n+1) in een frame gepast moeten worden.


Frames voor Almost Almost 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.

Eligible frames voor Almost Almost lmost Squares n=1...34
n area #Eligible Frames Eligible Frames
1 4 1 1x3
2 14 0 none
3 32 0 none
4 60 1 5x10
5 100 1 5x17
6 154 1 7x19
7 224 2 7x28, 14x14
8 312 1 12x23
9 420 1 15x25
10 550 3 10x55, 11x50, 22x25
11 704 3 11x64, 16x44, 22x32
12 884 3 13x68, 17x52, 26x34
13 1092 4 13x84, 14x78, 21x52, 28x39
14 1330 3 14x95, 19x70, 35x38
15 1600 5 16x100, 20x80, 25x64, 32x50, 40x40
16 1904 4 16x119, 17x112, 28x68, 34x56
17 2244 5 17x132, 22x102, 33x68, 34x66, 44x51
18 2622 2 19x138, 23x114, 38x69, 46x57
19 3040 5 19x160, 20x152, 32x95, 38x80, 40x76
20 3500 5 20x175, 25x140, 28x125, 35x100, 50x70
21 4004 5 22x182, 26x154, 28x143, 44x91, 52x77
22 4554 5 22x207, 23x198, 33x138, 46x99, 66x69
23 5152 5 23x224, 28x184, 32x161, 46x112, 56x92
24 5800 5 25x232, 29x200, 40x145, 50x116, 58x100
25 6500 5 25x260, 26x250, 50x130, 52x125, 65x100
26 7254 2 26x279, 31x234, 39x186, 62x117, 78x93
27 8064 9 28x288, 32x252, 36x224, 42x192, 48x168, 56x144, 64x126, 72x112, 84x96
28 8932 5 28x319, 29x308, 44x203, 58x154, 77x116
29 9860 1 29x340, 34x290, 58x170, 68x145, 85x116
30 10850 5 31x350, 35x310, 50x217, 62x175, 70x155
31 11904 7 31x384, 32x372, 48x248, 62x192, 64x186, 93x128, 96x124
32 13024 5 32x407, 37x352, 44x296, 74x176, 88x148
33 14212 5 34x418, 38x374, 44x323, 68x 209, 76x187
34 15470 7 34x455, 35x442, 65x238, 70x221, 85x182, 91x170 ,119x130

Zie ook

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