Interactive three-dimensional simulations & visualizations
Visualizing the beauty in physics and mathematics
Project maintained by zhendrikse Hosted on GitHub Pages — Theme by mattgraham
Philosophy is written in this grand book — I mean universe — which stands continuously open to our gaze, but which cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics, and its characters are triangles, circles and other geometric figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth. — Galileo Galilei (1623).
Welcome to my Math Art Gallery
All geometric shapes below were created with basically the same plotting software that I have written in VPython.
Toroids
Non-orientable surfaces
Möbius strip & Klein's bottle
The real projective plane
Spherical harmonics
Spherical harmonics are of the form $r = \sin(m_0\phi)^{m_1} + \cos(m_2\phi)^{m_3} + \sin(m_4\theta)^{m_5} + \cos(m_6\theta)^{m_7}$ where
- the angles $\phi \in [0, \pi]$ (latitude), and $\theta \in [0, 2\pi]$ (longitude),
- the parameters $m_0$, $m_1$, $m_2$, $m_3$, $m_4$, $m_5$, $m_6$, and $m_7$ are all integers and $\geq 0$,
- and where $r$ is the radius.
Spirals
Miscellaneous
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