Beginning the Fractiles-7 Refrigerator Experiment

To begin this experiment, I first purchased two refrigerator-sized Fractiles-7 sets (available at http://fractiles.com/), and then, early on a Sunday, quietly arranged these rhombus-shaped magnets on the refrigerator in our apartment (population: 4, which includes two math teachers and two teenagers), using a very simple pattern.

160207_0000

Here’s a close-up of the center. There are 32 each, of three types of rhombus., in this double-set, for a total of 96 rhombic magnets, all with the same edge length.

160207_0001

The number of possible arrangements of these rhombi is far greater than the population of Earth.

The next step of the experiment is simple. I wait, and see what happens.

It should be noted that there is a limit on how long I can wait before my inner mathematical drives compel me to play with these magnets more, myself — but I do not yet know the extent of that limit.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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2 Responses to Beginning the Fractiles-7 Refrigerator Experiment

  1. Ashok says:

    What are the angles of the 3 rhombuses?
    One is obviously the Golden ratio?
    What are the other two?
    Regards
    Ashok

    Liked by 1 person

  2. The red rhombi have angles measuring pi/7 and 6pi/7 radians — two of each per rhombus, of course, while the yellow rhombi’s angles measure 2pi/7 and 5pi/7 radians. For the blue rhombi, the corresponding figures are 3pi/7 and 4pi/7. While this makes it easy to see why this product has a “7” in its name, the presence of the Golden Ratio in any of this has eluded me.

    Like

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