Tesseract - Wikipedia
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles.
Hypercube - Wikipedia
In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract. It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.
四維超正方體 - 维基百科，自由的百科全书
四維超正方體. 在 几何学 中， 四維超正方体 或 正八胞體，是一種 四維 的 超正方體 （英語： hypercube）是 立方體 的四維類比，有8個立方體 胞。. 四維超正方体之於立方體，就如立方體之於 正方形。. 它是四維歐式空間中6個 四維凸正多胞體 之一。. 超正方体 ...
Tesseract | Brilliant Math & Science Wiki
A tesseract, also known as a hypercube, is a four-dimensional cube, or, alternately, it is the extension of the idea of a square to a four-dimensional space in the same way that a cube is the extension of the idea of a square to a three-dimensional space.
超方形 - 维基百科，自由的百科全书
在 几何学 中， 超方形 （英語： Hypercube），又称 立方形 、 正测形 （Measure Polytope）是指 正方形 和 立方体 的 n 维类比（对于正方形， n =2，对于立方体， n =3）。 它是一类 封閉 的、 紧致 的、 凸 的图形，它们的1维 骨架 是由一群在其所在空间对准每个 维度 整齐排列的等长的 线段 组成的，其中相对的线段互相 平行，而相交于一点的线段则互相 正交。 在n维空间中单位超方形（棱长为1）的对角线长等于 . 一个 n 维的超方形又被叫做 n-超方形。
Interactive 4D Handbook - 4D Cubes - Bailey Snyder
4D spheres were a good introduction, but 4D cubes (also known as 4D hypercubes or tesseracts) are worth taking the time to really sit with. They're simple enough to understand, yet complex enough to reveal most of the strangeness found in 4D. To build a 4D cube, let’s start all the way back with a simple 1D line.
Explanaria - 4D Hypercube - GitHub Pages
Explanaria - 4D Hypercube. It's a hypercube! Visualization options. 4D 3D Projection: Stereographic. Perspective. Forget Fourth Coordinate. Rotation: No rotation. 4D rotation: zw plane. More 4D shapes: Hypertetrahedron (5-cell), 3-torus. Want to know what you're looking at?
What Is a Tesseract or Hypercube? - Science Notes and Projects
2021年3月28日 · A tesseract or hypercube is the four-dimensional equivalent to a cube. In three dimensions, it is like a cube within a cube, except if all the vertices were connected by 90 degree angles. This animated GIF is a two-dimensional representation of a four-dimensional tesseract or …
Hypercube -- from Wolfram MathWorld
2 天之前 · The hypercube is a generalization of a 3-cube to n dimensions, also called an n-cube or measure polytope. It is a regular polytope with mutually perpendicular sides, and is therefore an orthotope. It is denoted gamma_n and has Schläfli symbol {4,3,3_()_(n-2)}.
Tesseract Explorer - GitHub Pages
Welcome to the 4 th dimension! The controls on the right will manipulate the tesseract in 4D space, and you can explore its 3D projection by clicking and dragging with your mouse. To get you started, a favorite view of mine is cutout rendering, orthographic projection, and 45 degree rotations in the XW, YW, and ZW planes.