Adapt this approach to another technical subject by giving each important quantity a consistent color across equations and diagrams. Pair an abstract symbolic step with a concrete physical schematic or graph, using arrows and outlined terms to expose the correspondence. Keep the background restrained so that highlighted relationships remain the main visual focus.
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Laplace transforms and spring oscillators
A mathematical lesson connects a forced spring oscillator to Laplace transforms through color-coded equations, waveform plots, complex-plane diagrams and pole surfaces, with occasional expressive pi characters.
How it was made
Reference shows a muted excerpt from 10:47 to 12:17. Watch the complete video at the original source.
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Source and credit
YouTube · Nov 5, 2025 · 25k likes · 845k views · 900 comments
Authorship not stated by the source
Look notesby Reference
A dark, minimalist math explainer featuring a differential equation, Laplace-domain formulas, and colorful three-dimensional plots.
- Color
- Black backgrounds with white equations, colored variable highlights, and vivid rainbow plot surfaces.
- Type
- Clean mathematical typography with italic symbols, subscripts, and integral and transform notation.
- Framing
- Equations are prominently centered or placed across the upper portion, with smaller formulas and plots arranged beneath or beside them.
- Structure
- The formulas develop from a second-order oscillator equation into its Laplace-transform solution, with pole labels and plots illustrating the resulting behavior.
