Egyptian Fraction Converter Rational Number (p/q or decimal): Conversion Method: Greedy Algorithm (Fibonacci)Fibonacci-SylvesterEngel (Optimal) Convert to Egyptian Fraction * Based on Fibonacci (1202), Sylvester (1880), and Engel (1913) — all proven optimal in different senses. About the Egyptian Fraction Converter The Egyptian Fraction Converter is a mathematically rigorous tool that decomposes any positive […]
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Continued Fraction Calculator Real Number (decimal, fraction, or √d): Max Terms to Compute: Compute Continued Fraction * Based on Euclid’s algorithm and Lagrange’s theorem on periodic continued fractions. About the Continued Fraction Calculator The Continued Fraction Calculator is a precision mathematical tool that computes the continued fraction expansion [a₀; a₁, a₂, …] of
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Catalan Number Calculator Non-Negative Integer n: Show Range (n to n+range): Calculate Catalan Numbers * Based on Euler (1758), Segner (1758), and binomial coefficient formula C(n) = (1/(n+1)) * (2n choose n). About the Catalan Number Calculator The Catalan Number Calculator is a mathematically precise tool that computes the nth Catalan number C(n)
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Pell’s Equation Solver Non-Square Positive Integer d: Max Solutions to Display: Solve Pell’s Equation * Based on Lagrange’s continued fraction algorithm (1770) and Dirichlet’s unit theorem. About the Pell’s Equation Solver The Pell’s Equation Solver is a mathematically rigorous tool that finds all positive integer solutions to the Diophantine equation x² − d
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Lucas Sequence Generator Enter the number of terms (1-100): Generate About the Lucas Sequence Generator The Lucas Sequence Generator is an intuitive and precise tool designed to compute the Lucas Sequence, a mathematical sequence closely related to the Fibonacci sequence. The Lucas sequence starts with 2 and 1, and each subsequent number is
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Fibonacci Sequence Calculator Enter the number of terms (1-100): Calculate About the Fibonacci Sequence Calculator The Fibonacci Sequence Calculator is a powerful and user-friendly tool designed to generate the Fibonacci sequence up to a specified number of terms. The Fibonacci Sequence is a series of numbers where each number is the sum of
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Koch Curve Visualizer Number of Iterations (1-7): Generate Koch Curve About the Koch Curve Visualizer The Koch Curve Visualizer is a reliable tool designed to generate and visualize the Koch Curve, a fundamental fractal in geometry. This tool iteratively applies geometric rules to create the Koch Curve, adhering to peer-reviewed mathematical methodologies. It
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L-Systems Fractal Generator Fractal Type: Koch CurvePlant-like FractalDragon Curve Iterations (1-6): Angle (degrees): Generate L-System Fractal About the L-Systems Fractal Generator The L-Systems Fractal Generator is a reliable tool designed to create and visualize L-Systems Fractal patterns using Lindenmayer systems. This tool applies formal grammar rules to generate complex fractal structures, adhering to
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Sierpinski Triangle Generator Number of Iterations (1-7): Generate Sierpinski Triangle About the Sierpinski Triangle Generator The Sierpinski Triangle Generator is a reliable tool designed to create and visualize the Sierpinski Triangle, a fundamental fractal in geometry. This tool iteratively removes central triangles from an equilateral triangle, adhering to peer-reviewed mathematical methodologies. It is
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Cantor Set Calculator Number of Iterations (1-10): Generate Cantor Set About the Cantor Set Calculator The Cantor Set Calculator is a reliable tool designed to generate and visualize the Cantor Set, a fundamental concept in set theory and fractal geometry. This tool constructs the Cantor Set by iteratively removing the middle third of
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