Physarum vs AhaMath

Explore artificial life through a living, flowing simulation inspired by Physarum polycephalum, the slime mold famous for forming networks, solving paths, and showing intelligence without a brain. Physarum turns simple local rules into complex motion. Thousands of agents sense trails, turn, move, and deposit new traces. As the field evolves, branching networks, waves, and organic textures emerge in real time. Use Physarum to: - Tune sensor distance, turn angle, movement, and trail strength - Paint into the field and guide the simulation by touch - Explore chaotic, branching, and self-organizing patterns - Save and restore interesting agents, fields, and rules - Create vivid generative visuals with color controls It is part science toy, part generative art studio, and part meditative visual instrument. Whether you study emergent systems, teach artificial life, or simply enjoy hypnotic motion, Physarum gives you a hands-on way to watch complexity grow from simple behavior.

Stop memorising formulas. Start seeing why they work. Most maths apps give you a problem and check your answer. This app shows you the maths — with rich, interactive animations that break every concept down visually, step by step. Watch a circle split into sectors and rearrange into a rectangle to reveal why area = πr². See a tangent line slide along a curve to show what a derivative really means. Follow vectors as they add tip-to-tail on a coordinate plane. Every animation is designed to build genuine understanding, not just drill answers. TOPICS COVERED • Arithmetic — addition, subtraction, multiplication, division • Fractions — equivalences, simplifying, finding missing values • Algebra — one-step and two-step equations, simultaneous equations, factorising, completing the square, quadratic formula, geometric sequences • Geometry — perimeter, area, Pythagoras, circles, surface area, volume, similarity • Trigonometry — SOHCAHTOA, sine rule, cosine rule • Functions — evaluation, composition, slope, inverses, exponential growth • Calculus — derivatives, integrals, related rates, optimisation, Simpson's rule • Statistics — mean, median, range, IQR, normal distribution • Probability — basic probability, complements, independence, expected value, permutations, combinations • Vectors — magnitude, scalar multiplication, addition, dot product, unit vectors • Complex Numbers — powers of i, conjugates, modulus, polar form, Argand diagrams • Physics Foundations — speed, momentum, acceleration, force, work, projectile motion WHAT MAKES IT DIFFERENT ◆ 30+ interactive animations that visually prove why each concept works ◆ Unlimited practice with dynamically generated questions — you will never see the same problem twice ◆ Step-by-step worked solutions and contextual hints for every question ◆ Three difficulty levels per topic so you can build confidence before pushing further ◆ Clean, focused design — no ads, no distractions WHO IS IT FOR Whether you are a student working through school maths, preparing for exams, or an adult refreshing your skills — the visual approach helps concepts stick in a way that textbooks cannot match. Built by someone who believes maths should make sense, not just be memorised.