ClickDeeper
Interactive STEM concept visualizations. Enable JavaScript for the full interactive experience.
Available Concepts
- Sine — Built from Triangles: How a spinning triangle creates the most important wave in mathematics
- Cosine — The Other Side: Same circle, same sweep — the horizontal twin of sine
- Tangent — The Slope of a Circle: How dividing sine by cosine creates the most dramatic trig function
- Dot Product — Measuring Alignment: How to multiply two vectors and get a single number that tells you how aligned they are
- Vectors — Direction and Magnitude: The mathematical objects that have both a size and a direction
- Gravity — Why Things Fall: How a single constant shapes every falling object in the universe
- Projectile Motion — Physics of a Thrown Ball: How vectors, sine, and cosine describe every trajectory in the universe
- Derivative — The Slope at a Point: What happens to the slope of a tangent line as you slide it along a curve?
- Slope — Rise Over Run: What steepness means mathematically, and how it changes on a curve
- Limits — When Numbers Get Infinitely Close: The idea that powers all of calculus
- Binary Numbers — How Computers Count: Why computers use 0s and 1s, and how they represent any number
- Boolean Logic — The Language of Computers: How AND, OR, and NOT gates make every decision a computer ever makes
- Recursion — Functions That Call Themselves: How a function can solve a problem by solving a smaller version of itself
- Sorting — Putting Things in Order: How computers compare and rearrange data, step by step
- The Pendulum — Nature's Sine Wave: Why a swinging pendulum traces a perfect sine wave in slow motion
- The Unit Circle: Why a circle with radius 1 is the Rosetta Stone of trigonometry
- Integration — The Area Under the Curve: Discover how infinitely thin rectangles sum up to reveal area — and why it is the inverse of a derivative.
- Fourier Series — Building Any Wave from Sines: How any repeating signal is secretly just a sum of sine waves
- Sound Waves — Sine in the Physical World: How vibrating air becomes the music you hear
- Wave Interference: How two waves combine to create patterns of silence and sound
- Normal Distribution: Why everything clusters around the average
- Bayes' Theorem: How new evidence changes what you believe
- Linear Regression: Finding the line that best fits your data
- Confidence Intervals: What '95% confident' actually means
- Euler's Formula: e^(iθ) = cos θ + i sin θ
- Central Limit Theorem: Why averages are always normal
- Z-Score: Measuring distance in standard deviations
- Correlation: Measuring the strength of a linear relationship
- Hypothesis Testing: Making decisions with data and p-values
- Binomial Distribution: Counting successes in repeated trials
- Quadratic Equations: The shape of acceleration, gravity, and thrown objects
- Logarithms: The inverse of exponential growth
- Hash Tables: How computers find data in constant time
- Poisson Distribution: Counting rare events over time
- Graph Traversal: BFS and DFS — two ways to explore a graph
- Probability Trees: Visualising conditional probability step by step
- Matrix Transforms: How 2×2 matrices rotate, scale, and reshape space itself
- Waves — Patterns That Travel Through Space: How energy moves without matter moving along with it
- Electric Field — Force at a Distance: How electric charges reach across space to push and pull other charges
- Optics — How Light Bends and Bounces: Reflection, refraction, and Snell’s law at an interface between two media
- Atomic Structure — Building Blocks of Matter: Protons, neutrons, and electrons; the Bohr model; and electron shells
- Chemical Bonding — How Atoms Stick Together: Ionic vs covalent bonds, electronegativity, and Lewis dot structures
- Cell Division — Mitosis: How one cell becomes two: chromosomes duplicate, align, and split
- Photosynthesis: How plants convert sunlight, water and CO₂ into glucose and oxygen
- DNA Replication: How the double helix unzips and copies itself with near-perfect fidelity
- Binary Search: Find any element in sorted data in O(log n) time
- Dynamic Programming: Solve complex problems by breaking them into overlapping subproblems
- Thermodynamics — Heat, Work, and Energy: How energy flows, entropy grows, and the universe tends toward disorder
- Gas Laws — Pressure, Volume, and Temperature: Boyle’s, Charles’s, and the Ideal Gas Law: PV = nRT
- Complex Numbers — The Argand Plane: z = a + bi: where algebra meets geometry