12 Facts About Four-dimensional space

Four-dimensional space is a mathematical extension of the concept of three-dimensional or 3D space.

Three-dimensional Four-dimensional space is the simplest possible abstraction of the observation that one only needs three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.

The simplest form of Hinton's method is to draw two ordinary 3D cubes in 2D Four-dimensional space, one encompassing the other, separated by an "unseen" distance, and then draw lines between their equivalent vertices.

Single locations in 4D space can be given as vectors or n-tuples, i e, as ordered lists of numbers such as .

Four-dimensional space coined the terms tesseract, ana and kata in his book A New Era of Thought and introduced a method for visualising the fourth dimension using cubes in the book Fourth Dimension.

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The study of Minkowski space required new mathematics quite different from that of four-dimensional Euclidean space, and so developed along quite different lines.

Minkowski's geometry of Four-dimensional space-time is not Euclidean, and consequently has no connection with the present investigation.

Mathematically, four-dimensional space is a space with four spatial dimensions, that is a space that needs four parameters to specify a point in it.

Comparatively, four-dimensional space has an extra coordinate axis, orthogonal to the other three, which is usually labeled w To describe the two additional cardinal directions, Charles Howard Hinton coined the terms ana and kata, from the Greek words meaning "up toward" and "down from", respectively.

Geometry of four-dimensional space is much more complex than that of three-dimensional space, due to the extra degree of freedom.

People have a spatial self-perception as beings in a three-dimensional Four-dimensional space, but are visually restricted to one dimension less: the eye sees the world as a projection to two dimensions, on the surface of the retina.

The being would be able to discern all points in a 3-dimensional subFour-dimensional space simultaneously, including the inner structure of solid 3-dimensional objects, things obscured from human viewpoints in three dimensions on two-dimensional projections.