#![doc = include_str!("../README.md")] #![deny(missing_docs)] /// The Apollonian gasket: a packing grown from its root quadruple in exact integers, the Ford circles it rests on the line, and the Farey stack they shadow. pub mod apollonian; /// The matrix ladder: the Dirichlet series of a memory design continued through its transfer matrix, its determinant cofactor and the residues on its pole combs. pub mod automaton; /// The sequence blender: term ops, exact recurrences and growth rates. pub mod blend; /// The boolean-function measures: Walsh spectra, nonlinearity, balance and avalanche. pub mod boolean; /// The grid tallies: value counts and exposed faces. pub mod census; /// The classic sequences and the exact arithmetic under them. pub mod classics; /// The digit designs on the integer line: their elements, their Mobius meter, its density echo and the ordinates its spectrum carries. pub mod design; /// The divisor arithmetic: factorizations, divisors, radicals and the Mobius values. pub mod factor; /// The fast Fourier transform in one and two dimensions. pub mod fft; /// The elementary formulas: the partial products and sums that walk to pi, e and gamma, and the prime counts beside them. pub mod formulas; /// The primes of the plane: the Gaussian and the Eisenstein integers, their classes, windows and ring weights. pub mod gauss; /// The spatial network: its nodes, branches, extraction and census. pub mod graph; /// The peeled ladder: the Dirichlet series of a digit design continued to the whole plane, its Lyndon cofactor and the residues at its poles, each value carrying its bound. pub mod ladder; /// The visible lattice: totients, coprime pairs, the constant a dimension recovers and the Farey nodes. pub mod lattice; /// The memory designs: a rule on `k` consecutive digits, its transfer matrix, the words it accepts and the Perron root that is their dimension. pub mod memory; /// The Thue-Morse world: the digit rule, the substitution, the plane lifts, the runs and the period-doubling word. pub mod morse; /// The prime objects: values, ranks, gaps and the shape readings of a number. pub mod prime; /// The radix designs: a digit set inside the residues of a base in a ring, a unit twist per digit, and the points their words land on. pub mod radix; /// The infinite sums: zeta and its Dirichlet cousins, the visible count and the Bernoulli fractions. pub mod series; /// The punctured schedules: the Wallis sieve and its kin, their words, rasters, punctures and limits. pub mod sieve; /// The symmetric eigensolver and the Laplacian spectra it reads off a network. pub mod spectrum; /// The turntable: the exact circle means of a raster about its centre, the profile they trace and the wheel it paints. pub mod spin; /// The spirals: the whole numbers wound on the square and the hexagonal lattice, marked and read along a quadratic. pub mod spiral; /// The spirograph: a byte grid as a wheel with a pencil in every cell, rolled on a line, a circle or a polygon, and the curves it draws. pub mod spirograph; /// The tourbillon: the odd parity carpets turned one angle a layer and stacked inside the inscribed disc. pub mod tourbillon; /// The critical line: zeta at one half plus i t, its zeros, and the prime staircase they rebuild. pub mod zeta;