What mathematical factors influence the shapes produced in cymatics experiments?

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SUMMARY

The discussion centers on the mathematical factors influencing the shapes produced in cymatics experiments, specifically using a Chladni Plate or CymaScope. Participants explore the relationship between frequency and the resulting standing wave patterns, noting that dust collects at the nodes of these waves. Key inquiries focus on identifying additional mathematical relationships that can predict these shapes beyond frequency alone.

PREREQUISITES
  • Understanding of standing wave theory
  • Familiarity with frequency and its role in wave patterns
  • Basic knowledge of Chladni Plate and CymaScope functionality
  • Mathematics of wave equations
NEXT STEPS
  • Research the mathematics of wave equations in cymatics
  • Explore the role of amplitude and frequency in standing wave formation
  • Investigate the use of different materials in Chladni Plate experiments
  • Learn about the CymaScope and its applications in visualizing sound
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Students of physics, sound engineers, artists experimenting with sound visualization, and anyone interested in the intersection of mathematics and physical phenomena in cymatics.

prepond
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Hi all,

just I made my own Chladni Plate or CymaScope and have played a little bit with it:



I was curious and I made some tests with guitar:



but my question is: does enyone know why this is happening?
 
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When you mechanically excite a plate you will get standing waves in the plate. The dust will tend to collect in the nodes of the standing wave.
 
do you know some mathematical relation? I know frequency, what do I need more to "predict" this shapes?
 

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