4-polytopes | Four-dimensional geometry | Algebraic topology

In geometry, a tesseract is the four-dimensional analogue 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 six square faces, the hypersurface of the tesseract consists of eight cubical cells. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular) octachoron, octahedroid, cubic prism, and tetracube. It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. Coxeter labels it the polytope. The term hypercube without a dimension reference is frequently treated as a synonym for this specific polytope. The Oxford English Dictionary traces the word tesseract to Charles Howard Hinton's 1888 book A New Era of Thought. The term derives from the Greek téssara (τέσσαρα 'four') and from aktís (ἀκτίς 'ray'), referring to the four edges from each vertex to other vertices. Hinton originally spelled the word as tessaract. (Wikipedia).

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2Uh3

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This shows two 3d prints of mathematical sculptures I produced using shapeways.com. These models are available at http://shpws.me/1jPw and http://shpws.me/3aqS

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From playlist GeoGebra Geometry

This shows two 3d prints of mathematical sculptures I produced using shapeways.com. These models are available at http://shpws.me/pJQ4 and http://shpws.me/pJQ6.

From playlist 3D printing

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Tessellate is when you fit together closely shapes without gaps or overlapping. Squares can tessellate a plane. Cubes can tessellate a space. Regular Triangles can tessellate a plane. Do regular tetrahedrons tessellate space?

From playlist #shorts mathematicsonline

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If you enjoy this video, please subscribe. ✅Be my Patron: https://www.patreon.com/WJBMattingly ✅PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business=AZ73QW52SUX8N¤cy_code=USD&source=url UB Mainheim: https://github.com/UB-Mannheim/tesseract/wiki (5.0) https://digi.b

From playlist OCR in Python Tutorials

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From playlist OCR in Python Tutorials

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All videos at: http://www.irongeek.com/i.php?page=videos/derbycon1/mainlist

From playlist DerbyCon 2011

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Repo: https://github.com/wjbmattingly/ocr_python_textbook If you enjoy this video, please subscribe. ✅Be my Patron: https://www.patreon.com/WJBMattingly ✅PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business=AZ73QW52SUX8N¤cy_code=USD&source=url If there's a specific

From playlist OCR in Python Tutorials

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From playlist 4d visualization

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From playlist OCR in Python Tutorials