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Parcourez des exemples Manim publiés, des exemples d’animations mathématiques et des idées réutilisables créées par la communauté AnimG.

Complex Conjugates: Algebraic and Geometric Properties

The animation proves that taking the complex conjugate distributes over addition and multiplication, shows the geometric reflection of a complex number across the real axis on the Argand plane, and presents related identities such as double conjugation and realness of a plus its conjugate. Viewers see step‑by‑step algebraic expansions, highlighted results, and a challenge to prove the difference property.

complex-numbersalgebrageometry

liam slater

Visual Proof of the Pythagorean Theorem

A short animation shows a right triangle with its legs labeled a and b and hypotenuse c. Squares are drawn on each side, the areas of the two smaller squares are highlighted, then cut into pieces and rearranged to perfectly fill the large square. The final frame displays the equality of the combined areas with the equation a squared plus b squared equals c squared.

geometrypythagorean-theoremvisual-proof

Sadek Daoudi

Solving Linear Equations for Bottle Sales

A step‑by‑step animation shows how to translate June and July bottle sales word problems into two linear equations, substitute variables, and solve for the number of small and large bottles sold each month. It highlights the algebraic process and presents the final counts for both months.

linear-equationsalgebraword-problemseducation

Bunker verse

Informatique

Step-by-Step Breadth First Search on a Seven Node Graph

A concise 2‑D animation walks through the BFS algorithm on a seven‑node graph. It shows the initial queue, processes each node, highlights edges, updates the visited set, handles duplicate queue entries, and ends with the traversal order displayed. Side panels display the live queue and visited nodes while colors indicate state changes.

graph-algorithmsbreadth-first-search

V J Kalpana Chawla

Minus Sign Outside vs Inside Squared Explained

A transparent overlay animation shows hand gestures illustrating whether minus two squared equals four or negative four. The sequence displays two answers in hands, isolates the base two with a grid, demonstrates the minus sign staying outside, closes parentheses around the negative base, compares results on a calculator graphic, and ends with closing parentheses around a final word. Guard frames ensure sync with audio and keep face and subtitle zones clear.

algebraexponentshand-gesturetransparent-overlaymath-visualization

Jose Santiago Garcia Cremades

Continuity of Energy Frequency Relations

A sleek black‑background animation shows the logical flow from E equals m times c squared to the frequency expression f equals mc squared over h, adding a subscript C at the end. Symbols move smoothly, merge, and rearrange without abrupt jumps, highlighting the continuity of the equations.

physicsenergy-frequencyequation-transformation

Chairi Najib

Unit Circle Visualization of Sine Cosine Tangent Cotangent

A dark‑mode animation draws the coordinate axes and unit circle, sweeps an angle from the positive x‑axis, and highlights the horizontal and vertical projections as cosine and sine. It then shows the tangent line at (1,0) to illustrate tangent length and the tangent line at (0,1) for cotangent, emphasizing their ratios to sine and cosine. The scene fades out, leaving the four key segments labeled.

trigonometryunit-circlegeometry

Minh Hiếu Hoàng

Vector Length Growth Illustration

A short animation shows a two‑dimensional vector starting at the origin with length one unit and a fixed direction. Over a few seconds the arrow smoothly extends to three units while the grid stays static, highlighting how a vector's length represents its magnitude. The final vector holds briefly before fading out.

vectorslinear-algebra

Omar Espitia

Finding the General Term of a Quadratic Sequence

The animation shows a decreasing sequence, computes its first and second differences, identifies a constant second difference, and derives the explicit quadratic formula for the nth term. It solves for the coefficients using three terms, reveals the final expression, and verifies it against the original numbers.

sequencesquadraticdifference-method

pillayashley80

Factoring a Quadratic Equation Step by Step

The animation walks through solving the equation x squared plus 5x plus 6 equals zero by factorisation. It shows the problem, identifies the method, finds two numbers whose product is 6 and sum is 5, splits the middle term, groups and factors, applies the zero-product property, solves for x, and verifies the solutions.

quadratic-equationsfactorisationalgebra

EO TP Kalghatagi

Building All Logic Gates From a Single NAND

The animation shows how one NAND gate can implement the NOT, AND, and OR functions. First, tying both inputs of a NAND creates a NOT gate; next, two NANDs are arranged to produce an AND gate; finally, using De Morgan’s method each input is inverted with a NAND‑based NOT and the inverted signals feed a third NAND to yield an OR gate. Signal lines animate with yellow for logic 1 and blue for logic 0, and the corresponding Boolean expression appears as a caption.

nand-gateslogic-gatesdigital-logicdemorganboolean-algebra

Ahmet Ortaç

Hand drawn rectangle with variable width

A 13 second minimalist animation shows a white chalk style rectangle on a black background. The vertical side is labeled x and the horizontal side is labeled 23 minus 2x. Labels appear handwritten. After drawing and labeling, the camera slowly zooms toward the rectangle, keeping the focus on the dimensions.

geometryalgebraminimalist

Dani Fahim

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