Phyō is in alpha. Content and features are still changing, and some things may break.
Self-contained explorations of a single idea.
Convolve two box-pulse signals and see why two rectangles of a and b samples give a trapezoid of a + b - 1 samples. Change either width, or slide one signal, to watch the overlap build the result.
Add, drag, and remove data points to build a dot plot, histogram, and box plot on one number line, and watch the mean, median, range, IQR, and MAD update in real time.
See how many pieces of the divisor fit in the dividend, and how sharing a dividend into equal parts gives the same quotient.
Solve one-step equations on a visual balance scale by adding, removing, and dividing weights until both sides balance, and explore inequalities by tipping the scale.
Work with exponents, build expressions from words, name their parts, evaluate them, combine like terms with tiles, and see why two expressions are equivalent.
Find the greatest common factor from two factor-pair columns, the least common multiple from two multiple lists, and rewrite a sum in factored form.
Find the missing side of a rectangle to see why dividing by a fraction is the same as multiplying by its reciprocal.
Fold a cube, rectangular prism, or triangular prism out of its net, and add up the face areas to get the surface area.
Add and subtract fractions and decimals on an interactive number line, and plot points in all four quadrants of the coordinate plane.
Add two sine waves and watch what a phase offset does. At 180° they cancel to silence; at 0° they reinforce.
Drag the vertices of triangles, rectangles, parallelograms, trapezoids, and quadrilaterals on a coordinate grid to see area formulas update in real time, then decompose each shape into triangles.
Logistic growth model showing how populations grow exponentially at first, then level off as they approach carrying capacity. Adjust growth rate, carrying capacity, and initial population.
Build a factor tree down to primes, then use two factorizations to find the greatest common factor and the least common multiple.
Interactive demonstration of a² + b² = c². Move the leg sliders and watch the squares on each side keep the relationship true.
Mix red and blue paint in different ratios to explore proportional relationships. See how the resulting color changes based on the ratio of parts.
Rotate a shape and watch it land on a faint reference copy at each match angle. Set the order of symmetry and see the match angles spread out.
Heat a substance and watch its particles vibrate as a solid, flow as a liquid, then break free as a gas. Switch substances to compare melting and boiling points, and see carbon dioxide sublime.
How a brushless drone motor works: three phases, commutation, and the open-loop tone drive that makes the ESC's startup chirps.
Read unit rates and percents off a double number line, solve unit-price and constant-speed problems, and convert between units by scaling the same ratio.
Link an equation, a table, and a graph for two related quantities, and see how the dependent variable follows the independent one.
Fill a right rectangular prism with fractional unit cubes, layer by layer, and see why V = l × w × h still works with fractional edge lengths.
Set the length, width, and height of a rectangular prism and watch the volume change. Drag to orbit the 3D view and scroll to zoom.
3D voxel-based watershed simulation. Watch water flow over procedural terrain using cellular automaton rules. Adjust sim rate, flow speed, and terrain ruggedness.