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2D Light Polarization Ellipse Animation

2D Light Polarization Ellipse Animation

The animation shows the tip of the electric field vector moving on a Cartesian plane as the polarization changes from linear to circular to elliptical. Parameters for amplitude ratio and phase difference are displayed, and the curve smoothly morphs while a rotating vector leaves a trace. The final frame presents the general ellipse equation with the current parameter values highlighted.

polarizationopticsellipsephysics
Kuor “TheKorslo” GamesKuor “TheKorslo” Games
Geometric Derivative of a Parabola via Secant Limit

Geometric Derivative of a Parabola via Secant Limit

The animation shows a parabola with a point at (2,4). A moving second point creates a secant line whose slope is displayed as a fraction. As the horizontal offset shrinks, the secant approaches the tangent, and the slope value settles to the derivative at that point. The final tangent is highlighted and the limit value is shown before the view zooms out.

calculusderivativegeometryparabola
tcjoechan
Visual Proof: Sum of Odd Numbers Forms Squares
Toán học

Visual Proof: Sum of Odd Numbers Forms Squares

The animation shows how adding the first few odd numbers builds larger squares. Starting with a single unit square, each odd term appears as an L-shaped layer of unit squares that expands the shape to a new square. After illustrating the pattern for small cases, a schematic highlights the general L-shaped layer and displays the formula that the sum of the first n odd numbers equals n squared. The final square fills the screen while the formula remains visible.

number-theorygeometryvisual-proof
Zaki Al MarzanZaki Al Marzan
Two-Set Word Problem Solved with Venn Diagram
Toán học

Two-Set Word Problem Solved with Venn Diagram

A step‑by‑step whiteboard animation shows how to solve a classic two‑set word problem using a Venn diagram. The teacher silhouette introduces the problem, draws two overlapping circles labeled Mathematics and Science, fills each region with the appropriate numbers, writes the arithmetic for each region, sums the inside numbers, calculates the outside remainder, and presents the three final answers.

venn-diagramword-problemselementary-mathset-theory
Samuel AntwiSamuel Antwi
Inside Weights: Open Models, Closed Models, and Distillation

Inside Weights: Open Models, Closed Models, and Distillation

A fast‑paced visual reel shows where intelligence resides in a giant transformer, compares open‑weight releases with closed‑weight black boxes, illustrates the costly training pipeline, and demonstrates how knowledge distillation transfers soft target distributions from a large teacher model to a compact student model, highlighting the resulting reductions in parameters, latency, memory, and cost that democratize AI.

transformerknowledge-distillationopen-weightsai-democratization
sowhardh honnappasowhardh honnappa
Riemann Sums and the Fundamental Theorem of Calculus
Toán học

Riemann Sums and the Fundamental Theorem of Calculus

This animation introduces the definite integral through geometric intuition, Riemann sums, and their limit. It then connects integrals to antiderivatives via the Fundamental Theorem of Calculus and demonstrates calculation with the example f(x)=x^2 from 0 to 2, verified by a Riemann sum.

calculusriemann-sumsfundamental-theorem-of-calculusintegralsmathematics-education
MustafaMustafa
Hi Text Slide In

Hi Text Slide In

A simple animation where the word 'hi' slides upward from below the screen to the vertical center. The motion is smooth and takes about 2 seconds, creating a clean greeting effect with no other elements.

text-animationslide-ingreetingminimal
Tiga LiangTiga Liang
Riemann Sum to Integral Animation

Riemann Sum to Integral Animation

This animation shows how approximating the area under a curve with rectangles converges to the exact area as the rectangles become thinner. Starting with 4 rectangles, the number doubles until the area under f(x) = x squared from 0 to 1 is exactly one-third, illustrating the definite integral.

calculusriemann-sumintegrationdefinite-integralarea-under-curve
Aaron-Stephen LohAaron-Stephen Loh
Euler's Formula: Uniting Exponential and Trigonometric Functions
Toán học

Euler's Formula: Uniting Exponential and Trigonometric Functions

The animation explores Euler's formula e to the i theta equals cosine theta plus i sine theta. It begins with the geometric interpretation of i as a 90-degree rotation in the complex plane, then builds the formula through Taylor series expansions of e to the x, sine x, and cosine x. It dynamically visualizes the rotating complex vector, showing how imaginary exponents produce circular motion. It ends with Euler's identity e to the i pi plus one equals zero, highlighting imaginary numbers as the mathematics of rotation.

eulers-formulacomplex-numberstaylor-seriestrigonometrymathematical-visualization
Sukene NiomeSukene Niome
Anamorphic Stakeholder Alignment: Finding Common Ground

Anamorphic Stakeholder Alignment: Finding Common Ground

Six flat colored circles representing stakeholders are fixed at different depths with lateral offsets. The camera moves from an oblique scattered view to a head-on aligned view, revealing that their projections overlap at a shared luminous core. This visual metaphor demonstrates that common ground is always present but requires the right perspective to be seen.

anamorphicstakeholder-alignmentperspectivecommon-ground3d-visualization
Brian McKenzieBrian McKenzie
Looping Cartoon Human Walking with Camera Orbit

Looping Cartoon Human Walking with Camera Orbit

A 3D cartoon human walks in place while the camera slowly orbits around the figure. The background is a starry universe. The animation loops seamlessly, completing a full walking cycle and camera rotation over 10 seconds.

3d-animationcartoonwalking-cyclecamera-orbit
RamanujaNewtonRamanujaNewton
Sine of an Angle in a Right Triangle

Sine of an Angle in a Right Triangle

This animation draws a right triangle labeled with Opposite, Adjacent, and Hypotenuse. Angle theta is highlighted. The sine formula sin(theta) equals opposite over hypotenuse appears and the corresponding sides flash to connect the formula visually.

trigonometryright-trianglesinegeometry
Baridei Wilson DauebiBaridei Wilson Dauebi