I took the following picture through the shop window of a business that is located just behind the physics lab.
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I have been passing the tiling for weeks (probably much longer) but I recently started thinking about it. I have some questions for you to consider. I do not know the answers but I am interested to hear some of your thoughts.
How was this tile pattern generated?
One obvious answer is that someone said something like, "Ok. In the first row I want 4 whites, 1 gray, 2 whites, 1 blue, 3 whites, 1 gray, and 1 white. For the second row, I want 1 gray, ..."? Do you think this likely? Explain.
If the pattern was not created tile by tile, how was it done? A likely answer was using a computer program. But what type of instructions would the programmer give?
The name of the pattern is "Degradado Azul." Starting at the top and going from one row to the next, the number of blue tiles sometimes increases and sometimes decreases. Overall, though, the rows start without having almost any blue tiles and then end up, in the bottom rows, with all or nearly all tiles being blue. The number of blue tiles in each row must be increasing even though it sometimes decreases.
Do you see any other patterns? Could there be some sequence formula that a computer could use to generate the number of blue tiles in each row? Given the number of tiles, in what positions should the blue tiles be placed? How would that be decided?
Do you see any other patterns?
Do other questions occur to you?
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2 comments:
If this should not be a comment, but a post, please let me know.
I think that the tiling was definately done on the computer and then some guy laid the tiles as they showed up on the computer program. I also feel that the computer program followed some sort of irregular sequence, in order to sometimes increase and sometimes decrease the number of blues, but in the end, end up with complete blues. We have not learned about irregular sequences yet, but I know that they have to exist.
I dont think the colors degrade because someone just wanted some specific colors in each row. I think there has to be a pattern and that theres also computer programs that arrange the degradation of colors. Actually I was investigating yesterday and found out about a Chinese that has programs that degrade specific parts and colors of images. I talked to Mr. Moyano and he explained to me that the colors, as they decrease upward, they separate the way they do because they are creating a specific image or object. For example, if one is to get all those small blocks and place them together, it would create an image. I also see a pattern in the gray blocks in the upper part, as well as in the blue blocks. The blue blocks seem to be in a more rectangular way, while gray blocks are smaller and kind of zig-zag. I have a question and it is that if are we to find why the colors change the way they do or what is the pattern in which they change?
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