MathExplorer: Visual Math

What changes when you move a point or change an expression? MathExplorer connects interactive diagrams, equations, and numerical values so you can explore mathematical relationships. Its 59 lessons work on iPhone and iPad. MOVE THE DIAGRAM Explore triangle centers, inscribed angles, similarity, the Pythagorean theorem, and compass-and-straightedge constructions. Watch polygons roll and circles move along polygons, and inspect loci and swept regions. CONNECT EXPRESSIONS AND GRAPHS Visualize explicit functions, implicit curves, parametric and polar equations, graph transformations, and inequality regions. Move a point on the unit circle to trace sine, cosine, and tangent graphs. Compare average rates of change, secants, tangents, and derivatives. SEE VECTORS AND COMPLEX NUMBERS Explore vector addition, dot products, orthogonal projections, position vectors, coefficient conditions, and complex-plane operations, transformations, and loci. ROTATE, SLICE, AND UNFOLD SOLIDS Inspect cubes, cylinders, cones, and Platonic solids in 3D. Connect faces to their nets and explore cross-sections, solids of revolution, and swept regions. EDIT MATHEMATICS VISUALLY Use math keys for fractions, radicals, exponents, and more. Select parts of an expression to edit them. Enlarge a lesson to give its diagram and key information more room while keeping the controls available. Save lesson states on your device and restore them later. FREE AND PRO Basic lessons and previews of advanced lessons are free. Pro is an optional one-time, non-consumable purchase that unlocks supported free-form input, advanced condition editing, advanced 3D features, and region measurements. Free access varies by lesson; see Free / Pro in the app. Free supports up to five saved states and Pro up to 100. Saving a preview lesson requires Pro. Restore purchases is available for existing purchasers. JAPANESE AND ENGLISH The app follows the device or per-app language setting. Both languages use the same lessons, saved data, and Pro entitlement. Supported mathematical scope varies by lesson. Undefined, unsupported, and insufficient-precision cases are identified. Exact values and numerical approximations are distinguished; exact solutions for arbitrary expressions are not guaranteed. The app does not require an account or include advertising or behavioral analytics SDKs. Expressions, geometry settings, and saved states are processed on your device and are not sent to a developer-operated server. Pro pricing, purchases, and restoration use Apple's services.