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1
Happy PI Day!!
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References
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Describe the Apollonian problem
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Curvature
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Start coding!
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Write a function to find the fourth curvature
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Complex numbers
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Create a complex number class
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Square root of -1
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Square root of a complex number
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Implement complex Descartes theorem
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Make the circles in the complexDescartes function
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Use an array to add recursion
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Validate the circles
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Check if all 4 circles are tangent
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Stop adding circles when radius falls below a threshold
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Implement arbirtary arrangement of circles
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Debug
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Possible variations
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Outro
Description:
Dive into a 57-minute coding challenge video celebrating Pi Day 2024 by creating an Apollonian Gasket using the Descartes Circle Theorem and complex numbers. Learn to implement the mathematical concept of curvature, work with complex numbers in JavaScript, and apply the Descartes theorem to generate intricate circle patterns. Follow along as the instructor guides you through writing functions to find the fourth curvature, creating a complex number class, and implementing recursion to build the gasket. Explore techniques for validating circles, checking tangency, and setting thresholds for circle generation. Gain insights into possible variations and debugging strategies for this fascinating geometric construction. Access provided code examples, references, and related challenges to further expand your understanding of mathematical visualizations and creative coding.

Apollonian Gasket Coding Challenge - Creating Fractal Circle Patterns

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