Does this concept have a name? (looping/overlapping time)

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SUMMARY

The discussion centers on the concept of overlapping time in relation to the number 24, which is divisible by both 6 and 8. Mason, a student working on an experimental animation, seeks a term to describe the phenomenon where different sequences (like 6-6-6-6 or 8-8-8) converge at the same endpoint. The term "modulo arithmetic" is suggested as a potential explanation, along with the concept of the least common multiple (LCM), which for 6 and 8 is 24. This mathematical framework underpins the exploration of time in Mason's animation.

PREREQUISITES
  • Understanding of basic arithmetic concepts
  • Familiarity with modular arithmetic
  • Knowledge of least common multiples (LCM)
  • Basic principles of animation and timing
NEXT STEPS
  • Research "modular arithmetic" for mathematical applications in animation
  • Explore "least common multiple" and its significance in timing sequences
  • Investigate techniques for visualizing overlapping time in animations
  • Learn about mathematical concepts in art and animation theory
USEFUL FOR

This discussion is beneficial for students in animation, mathematicians interested in practical applications, and artists exploring time-based concepts in their work.

Masontc
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I'm a student working on a short experimental animation. I've always had a fascination with the number 24 because it's divisible by 6 four times and divisible by 8 three times... you can add different numbers at a different rate and end up at the exact same number after a specific amount of time.

it's something I've always been fascinated with and never quite knew how to explain... I'm still searching for the right words but this notion of overlapping time is what I'm beginning to explore in this animation. Is there a name for that concept, the one I tried to explain with the number 24? 6-6-6-6 or 8-8-8 arrives at the same destination? I've had no lock with research online.

If it will help to demonstrate further what I'm trying to describe, here is a test clip from the animation in progress.

https://www.dropbox.com/s/vkdhpyuwyqff6ou/combined test 3 long EXPORT w music.mp4?dl=0

Thank you!
-Mason
 
Physics news on Phys.org
The "least common multiple" of 6 and 8 is 24.
 

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