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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.
4D (software), a complete programming environment including database and web server 4D SAS, developers of 4D and Wakanda; 4D Inc, a US-based subsidiary of 4D SAS; 4D BIM, a term used in computer aided design; 4D printing; Cinema 4D, a commercial cross platform 3D graphics application; SGI IRIS 4D, a line of workstations from Silicon Graphics
4D visualization Stereoscopic view Ref. 2048 4D: puzzle: Huon Wilson, based on 2048 by Gabriele Cirulli 2014 MIT: JavaScript: 2D sections: No [1] 4D Blocks: building blocks and trains John McIntosh 2013 Public Domain: Java: perspective projection: Yes [2] 4D Building Blocks: puzzle: Henryk Trappmann 2006 ? Java: parallel projection: Yes [3] 4D ...
In 4D space, every rotation about the origin has two invariant planes which are completely orthogonal to each other and intersect at the origin, and are rotated by two independent angles ξ 1 and ξ 2. Without loss of generality, we can choose, respectively, the uz - and xy-planes as these invariant planes.
In computer science, a 4D vector is a 4-component vector data type. Uses include homogeneous coordinates for 3-dimensional space in computer graphics , and red green blue alpha ( RGBA ) values for bitmap images with a color and alpha channel (as such they are widely used in computer graphics).
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Stereolithography is a 3D-printing technique that uses photopolymerization to bind substrate that has been laid layer upon layer, creating a polymeric network. As opposed to fused-deposition modeling, where the extruded material hardens immediately to form layers, 4D printing is fundamentally based in stereolithography, where in most cases ultraviolet light is used to cure the layered ...
A four-dimensional product (4D product) considers a physical product as a life-like entity capable of changing form and physical properties autonomously over time. It is an evolving field of product design practice and research linked to similar concepts at the material scale (programmable matter and four-dimensional printing), however, typically utilizes sensors and actuators in order to ...