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In summary, the tesseract, also known as a hypercube, is a mathematical object that cannot be drawn on paper. It has found applications in various fields, and its projections to 2 dimensions are just representations of its higher-dimensional form. The construction of a tesseract can be imagined as connecting parallel cubes in 4-dimensional space.

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Physics news on Phys.org

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What do you mean by "constructed"?

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drawn on paper.the link what you gave was where i saw earlier on tesseract,i want

a better explanation.

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projected?,i mean considering what as the 4th dimension has this been projected?

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Projections to 2 dimensions

The construction of a hypercube can be imagined the following way:

* 1-dimensional: Two points A and B can be connected to a line, giving a new line segment AB.

* 2-dimensional: Two parallel line segments AB and CD can be connected to become a square, with the corners marked as ABCD.

* 3-dimensional: Two parallel squares ABCD and EFGH can be connected to become a cube, with the corners marked as ABCDEFGH.

* 4-dimensional: Two parallel cubes ABCDEFGH and IJKLMNOP can be connected to become a hypercube, with the corners marked as ABCDEFGHIJKLMNOP.

A tesseract is a four-dimensional shape that is constructed by adding a fourth dimension to a cube. It is also known as a hypercube.

A tesseract is constructed by taking a cube and adding a fourth dimension perpendicular to the three existing dimensions. This creates a shape with 8 cubes connected by 24 squares and 32 edges.

A tesseract is a real shape that exists mathematically, but it is difficult to visualize in our three-dimensional world. It is often used as a concept to help explain higher dimensions.

In our three-dimensional world, we cannot see or touch a tesseract. However, with the help of technology, we can create visual representations of a tesseract on a two-dimensional screen or paper.

Although we may not be able to see or touch a tesseract in the physical world, it has many practical applications in fields such as mathematics, physics, and computer science. Tesseracts are also used in science fiction and other media as a way to explore the concept of higher dimensions.

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