Browse published Manim examples, math animation examples, and reusable ideas created by the AnimG community.
A step‑by‑step 2.5D motion graphic shows how to solve the trigonometric equation tan(7x)=cot(8x). It uses the co‑function identity to convert cot to tan, aligns the angles, moves terms across the equals sign, isolates the variable, and reveals the final answer six degrees, all with neon highlights and minimalist graphics.
Moazzem Hossain
The animation introduces the derivative as the instantaneous rate of change. It shows a parabola, a moving point, and its tangent line. As the point travels along the curve, the slope label updates in real time, demonstrating how the slope evolves. The original function equation transforms into the derivative formula, emphasizing the connection between the function and its rate of change.
ayaan kasii
The animation shows an atom with K, L and M shells. First a K shell vacancy is created, an L electron fills it, releases energy and an L electron is emitted (KLL process). Then the same sequence occurs with an M electron emitted (KLM process). The emitted electron paths are compared, highlighting that the KLL electron travels farther and has higher energy. Core formulas and the relationship between energy and electron travel distance are displayed.
A fast-paced visual walk‑through of Fermat's Last Theorem, showing the famous marginal note, the equation with an impossible stamp, a timeline of key historical attempts, and a simplified sketch of Andrew Wiles's proof linking elliptic curves to modular forms, ending with a proved checkmark and a takeaway message.
Aditya Bansal
The animation builds a Hasse diagram showing all subsets of the set {1,2,3}. Nodes appear level by level, colored to distinguish the empty set, proper subsets, and the full set. Proper subsets are highlighted, and the formula two to the power of three equals eight is revealed with synchronized counting. An optional segment swaps to a two‑element set to illustrate the same rule for a smaller case, reinforcing that a set with n elements has exactly two to the n subsets.
Sanjaya Karki Nepali
A dark mode 2D animation shows the function (x squared minus 1) over (x minus 1) on a Cartesian plane. A blue curve is drawn with a white hole at the point (1,2). Two coral dots travel toward the hole from opposite sides, slowing as they approach. The limit statement appears with arrows converging on the axes, and a caption explains that limits describe where you are heading, not where you land. The scene fades out after a brief conclusion.
billy bob
The animation introduces the Taylor series as a method to approximate smooth functions. It starts with a sine curve, displays the series formula, then shows the tangent line as the first-order approximation. Successive higher-order polynomial terms are added, each improving the fit, and a slider demonstrates convergence as more terms are included, highlighting the shrinking error. The video ends with a caption summarizing the power of Taylor series for local approximation.
The animation draws the cubic graph, highlights the critical points where the first derivative is zero, sweeps a line to show where the function increases or decreases, displays the first and second derivative formulas, and uses the second derivative test to identify the local maximum and minimum with their function values.
Dat Nguyen
Step‑by‑step Spanish animation that builds the graph of a logarithmic function, showing domain, symmetry, intercepts, growth and concavity using first and second derivatives. Colors highlight increasing, decreasing, convex and concave regions, while critical and inflection points are marked. Formulas and explanations appear on the right, keeping the left side for the progressive drawing.
Iker Hernandez
The animation shows how to find the point on the cubic curve y equals x cubed minus four x squared where the tangent line has the smallest slope. It visualizes the function, its first and second derivatives, solves for the critical point, computes the minimum slope, and draws the tangent line, ending with a summary of the inflection point, slope, and line equation.
Abril Siliezar
The animation shows a birthday calendar for December 8, 2004, then reveals the target year 2026. It displays the subtraction 2026 minus 2004, animates the calculation, and highlights the result of 22 years with a pop effect, reinforcing the simple year minus birth year concept.
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The animation shows the year 1985 and 2004 side by side, then an arrow points from 2004 to 1985 and a subtraction sign appears. The calculation resolves to a result of minus nineteen, which slides up from the bottom and is highlighted before fading out.
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