Vectors and Planes vs CellScape

Vectors and Planes App helps visualize and understand 3D linear and quadric structures and their intersections. List of linear structures and combinations: 1. Two vector combination. 2. Plane. 3. Line and plane combination. 4. Two plane combination. 5. Three plane combination. Current list of quadric structures: 1. Two sphere combination. 2. Standard ellipsoid. 3. Ellipsoid in a form of positive-definite matrix. 4. Standard cone. 5. Cone in a form of indefinite matrix. 6. 1-sheet hyperboloid. 7. 1-sheet hyperboloid in a form of indefinite matrix. 8. 2-sheet hyperboloid. 9. 2-sheet hyperboloid in a form of indefinite matrix. 10. Standard cylinder. 11. Cylinder in a form of positive-semidefinite matrix. 12. Hyperbolic paraboloid. 13. Elliptic paraboloid. Current list of combinations of quadric and linear structures: 1. Matrix ellipsoid and line. 2. Standard ellipsoid and plane. 3. Matrix ellipsoid and plane. 4. Matrix cone and line. 5. Standard cone and plane. 6. 1-sheet hyperboloid in matrix form and line. 7. 2-sheet hyperboloid in matrix form and line. 8. Matrix cylinder and line. 9. Elliptic paraboloid and line. 10. Hyperbolic paraboloid and line. Interactive 3D graphs are provided for all of the above. Step by step calculation algorithms are provided for all intersection point sets. Many of the algorithms are based on Linear Algebra concepts. Those, in turn, are explained in our “Matrix Solver Step by Step” app. Version 10 was completely redesigned. Developers hope to get feedback from users at graphmath@aol.com.

CellScape is a microscope adventure where learners explore a living freshwater pond and learn real biology through play. In Little Learner mode, you tap, observe, and discover with simplified controls. In Explorer mode, you run experiments by adjusting light, nutrients, and temperature, then read population trends on a 60-second graph. What you can do • Observe freshwater organisms such as Chlorella, Paramecium, rotifers, diatoms, snails, and decomposers. • Run one-variable cause-and-effect experiments. • Unlock discovery stamps, learn cards, and challenge missions. • Learn ecology and microbiology vocabulary in the in-app glossary. • Switch between metric and imperial temperature units in Explorer mode. Privacy-first design • No ads • No analytics or tracking SDKs • No accounts or chat • Local-only save data • Parent-gated settings and reset actions