Talk:Four-dimensional space/sandbox

{{Short description|Geometric space with four dimensions}}

{{If mobile|tag=div|File:8-cell-simple.gif is known as a tesseract, seen rotating here in four-dimensional space, yet projected into two dimensions for display.|alt=Animation of a transforming tesseract or 4-cube]]|{{Image frame|width=256|content={{calculator-hideifzero|formula=moving|alt=Animation of a transforming tesseract or 4-cube}}{{calculator-hideifzero|formula=static|alt=Single frame of a transforming tesseract or 4-cube|starthidden=1}}|caption=The 4D equivalent of a cube is known as a tesseract, seen rotating here in four-dimensional space, yet projected into two dimensions for display.

{{General geometry}}

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. For example, the volume of a rectangular box is found by measuring and multiplying its length, width, and height (often labeled {{mvar|x}}, {{mvar|y}}, and {{mvar|z}}). This concept of ordinary space is called Euclidean space because it corresponds to Euclid's geometry, which was originally abstracted from the spatial experiences of everyday life.