Vectors and Planes 16.6

Yuri Morozov – Freeware – iOS
從 3 票

The "Vectors and Planes" application offers a comprehensive tool for visualizing and understanding three-dimensional linear and quadratic structures, as well as their intersections.

Linear structures and their combinations include:

Two vector combination
Single plane
Line intersecting with a plane
Two planes intersecting
Three planes intersecting

The current catalog of quadratic (quadric) surfaces comprises:

Two spheres in combination
Standard ellipsoid
Ellipsoid expressed through a positive-definite matrix
Standard cone
Cone represented via an indefinite matrix
Single-sheet hyperboloid
Single-sheet hyperboloid in matrix form with an indefinite matrix
Two-sheet hyperboloid
Two-sheet hyperboloid in matrix form with an indefinite matrix
Standard cylinder
Cylinder represented by a positive-semidefinite matrix
Hyperbolic paraboloid
Elliptic paraboloid

The application also details combinations of quadric surfaces with linear structures, including:

Matrix ellipsoid with a line
Standard ellipsoid with a plane
Matrix ellipsoid with a plane
Matrix cone with a line
Standard cone with a plane
Single-sheet hyperboloid in matrix form with a line
Two-sheet hyperboloid in matrix form with a line
Matrix cylinder with a line
Elliptic paraboloid with a line
Hyperbolic paraboloid with a line

All of these structures and their intersections are visualized using interactive 3D graphs, facilitating intuitive exploration.

The application provides step-by-step algorithms for calculating intersection points, many of which are grounded in Linear Algebra principles. These algorithms are complemented by explanations available within the "Matrix Solver Step by Step" application for enhanced understanding.

The latest release, Version 10, has been fully redesigned to improve usability and functionality.

The developers invite user feedback via email at [email protected] to further refine and enhance the application's capabilities.

概述

Vectors and Planes 是在由Yuri Morozov開發類別 Education Freeware 軟體。

最新版本是 Vectors and Planes 的 16.6 2025/05/15 上釋放。它最初被添加到我們的資料庫 2025/05/15 上。

Vectors and Planes 在下列作業系統上運行: iOS。

使用者 Vectors and Planes 5 個 5 星的評分，給了它。

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