Proof Fidget vs Fourier App

ProofFidget is a puzzle-driven way to learn the feel of doing math: not by memorizing procedures, but by making correct moves, one step at a time, until a proof truly holds together. Each puzzle gives you a clear goal and a partially-complete derivation. You spin the wheel to choose your next move, then commit to a step and watch the proof line up. If you’re right, you progress; if you’re wrong, you learn quickly why it didn’t fit. The result is a tight feedback loop that makes abstract ideas concrete and surprisingly fun. You’ll work across a growing set of subjects, including: Logic and proof techniques: build confidence with implication, contradiction, and structured reasoning. Algebra: make valid transformations while keeping equations balanced, supported by visual “balance scale” diagrams. Number theory: practice modular arithmetic, divisibility, and gcd-style reasoning with intuitive visuals. Geometry and beyond: use diagrams to ground symbolic steps in something you can see. ProofFidget is designed for short, satisfying sessions, but it also rewards deeper play: you start noticing patterns, choosing steps for the right reasons, and developing proof instincts that transfer to real coursework and problem-solving. If you’ve ever thought “I understand the formula, but I don’t understand why,” ProofFidget is built for that moment.

Fourier App is an interactive tool for visualizing and computing Fourier Series of piecewise functions. Define custom functions with multiple pieces and discontinuities, choose the time window, and instantly see the original signal x(t) alongside its series approximation s(t). Browse a built-in catalog with classic examples like sine, cosine, step function, rectangular, triangular, ramp, parabola, and more. View the frequency spectrum with an, bn, and cn coefficients, filter partial series terms, and explore how each harmonic contributes to the final waveform. Includes a theory section covering Fourier Series history, equations, and real-world applications such as audio streaming and noise cancellation.