Mathematics
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Geodesic Dome Knots
This project showcases the construction and 3d-printing of knots superimposed on subdivided geodesic domes.
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PlotEquation
This is a C# plugin made for Rhinoceros3D that specializes in generating various mathematical models (ex. cartesian/spherical expressions, implicit surfaces, Sierpinski objects, etc.) that can be further manipulated in any CAD software.
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Visualizing Julia Set Matings
This project visualizes the concept of Julia Set matings when projected onto the Riemann Sphere, showing matings with both bounded and unbounded Julia Sets.
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Exploring L-Systems
Using the PlotEquation plugin, this project shows how incredibly simple recursive rules can produce increasingly complex and diverse results, especially with vegetation-like objects.
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Visualizing Julia and Mandelbrot Sets
This project explores many different algorithms and coloring methods for visualizing Julia and Mandelbrot-like Sets, as well as going through some simple optimizations and animation examples.
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Generating Fractal Geometry
Using my PlotEquation plugin, this project explores the many variations of Sierpinski and Koch objects and shows how to 3D-print them.
Mathematical Puzzles
A commission from a professor, this project uses mathematical formulas to create various puzzles that can be 3D-printed.
Visualizing Electron Orbitals
By plotting spherical expressions in my PlotEquation plugin, this project visualizes successive electron orbitals and explores the relationship between their respective equations.