Knot Theory Explorer | Interactive Visualization | Elysia Tools

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Math

Knot Theory Explorer — Jones & Alexander Polynomials

Interactive knot theory lab: braid words close into knots, the Kauffman bracket state sum computes the Jones polynomial live, Fox calculus gives the Alexander polynomial. Flip crossings, apply Reidemeister and Markov moves, and watch the invariants refuse to change.

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Chemistry

Zero-Order Reaction - Interactive Visualization

Interactive visualization of zero-order reaction kinetics and concentration changes over time

Chemistry

First-Order Reaction - Interactive Visualization

Interactive visualization of first-order reaction kinetics and exponential concentration decay

Chemistry

Second-Order Reaction - Interactive Visualization

Interactive visualization of second-order reaction kinetics and bimolecular collision dynamics

Chemistry

Arrhenius Equation

Interactive visualization of temperature effect on reaction rate - Explore activation energy, pre-exponential factor, and rate constant relationship

Chemistry

Reversible Reaction

Interactive visualization of A ⇌ B reversible reaction kinetics - Explore forward and reverse reaction rates, equilibrium constant, and concentration changes over time

Chemistry

Consecutive Reaction

Interactive visualization of A → B → C consecutive reaction kinetics - Explore intermediate concentration peaks, rate-determining steps, and complete evolution of all species

Chemistry

Chain Reaction

Interactive visualization of free radical chain reaction polymerization - Explore initiation, propagation, termination steps, chain growth animation, and molecular weight distribution

Chemistry

Le Chatelier's Principle

Interactive visualization of Le Chatelier's Principle - Explore how changes in concentration, pressure, and temperature affect chemical equilibrium with animated molecular dynamics