Patterns, Repetition, and Rhythm

In math, we are always on the lookout for patterns. Sometimes, these patterns have specific "rules" that create either repetition or rhythm. Let's look at some definitions first.

What is pattern?

Pattern is a combination of elements or shapes repeated in a recurring and regular arrangement.

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What is repetition?

Repetition is an object, sound, number, form, or figure that is repeated.

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What is rhythm?

Rhythm is like pattern, in that the same elements (i.e.shape, line, numbers, notes) are repeated; however, with rhythm there are slight variations in the pattern.

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EXAMPLE OF PATTERN, REPETITION AND RHYTHM TOGETHER

Here's one of the oldest mandalas preserved today. It is a work of art from Japan. Can you identify the patterns, repetition and rhythm in this example?


Taizokai (Womb World) mandala, second half of ninth century. Hanging scroll, color on silk. Source: http://www.mandala.hr

Repetition is seen throughout the mandala in the repetition of figures. This is most evident in the center and the area immediately surrounding the center of the mandala. Pattern can be found in the areas where there are repeated figures that are different in size but follow a regular, ordered arrangement in their recurrence. Rhythm can be seen in the two outermost layers, especially the second one from the edge, with a black background. Differing sizes of similar figures are repeated, with variations in their order and grouping.

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