Tesseractical Floor: Difference between revisions

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A floor of the [[Tower of Art]] at [[Unseen University]] mentioned in {{UA}} as an unreliable floor where all the toilets had turned into sheep - or, at least, such was vouchsafed to Mr [[Nutt]] by one of the scullery boys.
A floor of the [[Tower of Art]] at [[Unseen University]] mentioned in {{UA}} as an unreliable floor where all the toilets had turned into sheep - or, at least, such was vouchsafed to Mr [[Nutt]] by one of the scullery boys.


==Annotation==
==Annotation==
 
In geometry, the {{wp|Tesseract|tesseract}}, also called an 8-cell or regular octachoron, is the four-dimensional analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of 6 square faces, the hypersurface of the tesseract consists of 8 cubical cells. The tesseract is one of the six convex regular 4-polytopes.
[[Image:240px-Schlegel_wireframe_8-cell.png|200px|right|thumb|A Tesseract]] In geometry, the tesseract, also called an 8-cell or regular octachoron, is the four-dimensional analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of 6 square faces, the hypersurface of the tesseract consists of 8 cubical cells. The tesseract is one of the six convex regular 4-polytopes.


A generalization of the cube to dimensions greater than three is called a “hypercube”, “n-cube” or “measure polytope”. The tesseract is the four-dimensional hypercube, or 4-cube.
A generalization of the cube to dimensions greater than three is called a “hypercube”, “n-cube” or “measure polytope”. The tesseract is the four-dimensional hypercube, or 4-cube.

Latest revision as of 03:18, 13 December 2021

A floor of the Tower of Art at Unseen University mentioned in Unseen Academicals as an unreliable floor where all the toilets had turned into sheep - or, at least, such was vouchsafed to Mr Nutt by one of the scullery boys.


Annotation

In geometry, the tesseract, also called an 8-cell or regular octachoron, is the four-dimensional analog of the cube. The tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of 6 square faces, the hypersurface of the tesseract consists of 8 cubical cells. The tesseract is one of the six convex regular 4-polytopes.

A generalization of the cube to dimensions greater than three is called a “hypercube”, “n-cube” or “measure polytope”. The tesseract is the four-dimensional hypercube, or 4-cube.

According to the Oxford English Dictionary, the word tesseract was coined and first used in 1888 by Charles Howard Hinton in his book A New Era of Thought, from the Greek “τέσσερεις ακτίνες” (“four rays”), referring to the four lines from each vertex to other vertices. Some people have called the same figure a tetracube, and also simply a hypercube (although the term hypercube is also used with dimension greater than 4).

A tesseract is bounded by eight hyperplanes (xi = ±1). Each pair of non-parallel hyperplanes intersects to form 24 square faces in a tesseract. Three cubes and three squares intersect at each edge. There are four cubes, six squares, and four edges meeting at every vertex. All in all, it consists of 8 cubes, 24 squares, 32 edges, and 16 vertices.

No, I don't understand it either. Interesting place to clean toilets, however...