Using geometeric series to get different shapes

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SUMMARY

The discussion centers on utilizing geometric series to create various shapes for a math class project. A participant references a website on geometric series but seeks alternative resources due to prior use by their teacher. Suggestions include exploring the anti-snowflake shape and fractals, with specific links provided for further exploration. The conversation emphasizes the importance of calculus in generating these shapes.

PREREQUISITES
  • Understanding of geometric series
  • Basic knowledge of calculus concepts
  • Familiarity with fractals and their properties
  • Ability to navigate mathematical resources online
NEXT STEPS
  • Research the anti-snowflake shape and its mathematical properties
  • Explore fractals using the "Fractals unleashed" website
  • Study geometric series applications in shape creation
  • Investigate alternative mathematical series for shape generation
USEFUL FOR

Students in mathematics, educators seeking project ideas, and anyone interested in the application of geometric series and calculus in shape creation.

minase
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We have this final project for my math class and I was thinking of using geometeric series to get different shapes. I found this great website http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/series/serapp.html but our teacher has already used it as an example. Do you know any other easy shapes I could do. Not involving :-p complex numbers...Julia Mandelbrot formula. It doesn't have to be about geometeric series it could be any thing that involves calculus.
 
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You could do the anti-snowflake.
http://math.rice.edu/~lanius/frac/anti.html
 

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