Challenge packs

5 puzzles each, built around one geometry, and between them they cover every family below. Progress is stored locally; a pack keeps your best score per puzzle.

Pack 01

Straight talk

Linear separations, from a wide clean gap to a nearly touching pair. Learn what margin buys you.

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Pack 02

Round numbers

Rings, tilted ellipses and a squircle. No line will do it — reach for x² + y², then rotate the frame with θ.

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Pack 03

Bends

Parabolas, vees and the polynomials above them. One coefficient at a time; the curve tells you which way to push.

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Pack 04

Soft steps

Logistic, tanh, arctangent, softplus. Four ways to draw the same S — the shoulders are what separate them.

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Pack 05

Bumps & valleys

A Gaussian, a soliton, a rational spike and a hanging chain. Single-peaked and deceptively alike until you fit one.

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Pack 06

Waves

Sines, a two-term harmonic and a damped ring-down. Amplitude, frequency and phase, all at once.

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Pack 07

Overfit traps

Interlocking moons, disconnected islands and a Cassini oval that may or may not have split in two. Flexible functions are allowed, but wiggle is scored.

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Every dataset family
CodeFamilyTarget conceptDifficulty
A1Two clustersLinearBeginner
A2Narrow corridorLinearBeginner
A3Offset ellipsesLinear / quadraticIntermediate
A4Inner vs outer ringImplicit quadraticIntermediate
A5Tilted ellipseImplicit conicIntermediate
A6Opposite quadrantsImplicit productIntermediate
A7Parabolic splitPolynomialIntermediate
A8V-shapeAbsolute valueIntermediate
A9Sine boundaryTrigonometricAdvanced
A10Cosine boundaryTrigonometricAdvanced
A11Cubic splitPolynomial (cubic)Advanced
A12Double wellQuartic polynomialExpert
A13Logistic stepSigmoid / logisticAdvanced
A14Tanh stepHyperbolic tangentAdvanced
A15Arctangent stepInverse trigonometricAdvanced
A16Soft hingeSoftplus / logarithmicAdvanced
A17Gaussian bumpExponentialAdvanced
A18Soliton bumpHyperbolic secantAdvanced
A19Rational bumpRationalAdvanced
A20Hanging chainHyperbolic cosineAdvanced
A21Two-term waveTrigonometric (two-term)Expert
A22Damped waveDamped oscillationExpert
A23Curved moonsHigher-order nonlinearExpert
A24Hyperbolic splitImplicit quadraticAdvanced
A25SquircleSuperellipseExpert
A26Cassini ovalQuartic implicitExpert
A27Two islandsImplicit productExpert