Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.

On this website, my goal is to give you an intuitive understanding of a 4th spatial dimension. To achieve this, we'll first brush up on simple 2D and 3D space, then using that knowledge we'll observe the most fundamental 4D shapes. To begin, …

Interactive Models of 4D Objects The following images link to interactive models of some of the four-dimensional objects we've studied. To use the interactive versions, your browser must support WebGL, and you must have JavaScript enabled in your browser.

数字高程模型（Digital Elevation Model，缩写DEM）是一定范围内规则格网点的平面坐标（X，Y）及其高程（Z）的数据集，它描述了区域地貌形态的空间分布，通过等高线或相似立体模型进行数据采集（包括采样和量测），再进行数据内插而形成的。 DEM是对地貌形态的虚拟表示，可派生出等高线、坡度图等信息，也可与DOM或其它专题数据叠加，用于与地形相关的分析应用，同时它本身也是制作DOM的基础数据。 DEM是用一组有序数值阵列形式表示地面高程的一 …

2023年7月23日 · Our world is in three spatial dimensions, with a fourth dimension that is temporal (as in, the dimension of time); together, they form the fabric of space-time. Scientists and philosophers have wondered and performed research on …

Access to a fourth dimension makes many things possible that would otherwise be quite impossible. To see how this works, we'll use the strategy of thinking out a process in a three dimensional space. Then we replicated it in a four dimensional space. Consider a coin lying in a frame on a table top.

3-dimensional Platonic solids 4 dimensions: are the 5-cell (hyper-tetrahedron), 8-cell (hyper-cube), 16-cell (hyper-octahedron), 24-cell, 120 cell (hyper-dodecahedron) and the 600-cell (hyper-icosahedron). In larger dimensions, only the cube, the tetrahedron or …

2017年4月26日 · What exactly is the 4th dimension? Let’s break down spatial dimensions into what we know. We can describe a point in 2-dimensional space with two numbers x and y, visualizing an object in the xy plane, and a point in 3D space with …

This page contains links and bibliography to 4-dimensional visualization resources on the web and in various scientific proceedings. Any resource that can be found on the web is linked to the source. 1. Literature: Serious Articles etc. 2. Visualization: Various tools and methods. 3.

1 天前 · Four-dimensional geometry is Euclidean geometry extended into one additional dimension. The prefix "hyper-" is usually used to refer to the four- (and higher-) dimensional analogs of three-dimensional objects, e.g., hypercube, hyperplane, hypersphere. n-dimensional polyhedra are called polytopes.