Series Expedition

Mathematical Structures

Take apart mathematical abstraction across four chapters — decomposition, transformation, iteration, and accumulation — by moving parameters that appear at once across several panels.

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Machine-translated from the English original.

Рекомендуемый маршрут

Следуйте последовательности, которая соединяет всё более глубокие взгляды на одну и ту же тему.

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Fourier Series

A chain of rotating circles draws a wave while its harmonics line up into the depth. Read amplitude, phase, and error at the same time as you take one wave apart.

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Linear Map

Deform a whole lattice with a matrix, find the eigenvectors as the axes that never turn, and read the determinant as the change in volume.

Procedural deforming lattice with invariant axes
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Iteration

A map that only repeats one rule splits, splits again, and heads for the unpredictable. Compare orbits and a bifurcation surface to find where order breaks.

Procedural orbit web with bifurcation surface
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Convergence

Why does piling up unrelated chance always settle into the same bell? Watch the hill build as trials accumulate and see how its tails thin out.

Procedural accumulating distribution terrain
Mathematical Structures - Luneidea