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Tag Archives: hypercube
Slowly Rotating Hypercube
The hypercube, also known as a tesseract, is the fourdimensional analog to the cube. I made this projection of a hypercube with Stella 4d, which is available at http://www.software3d.com/Stella.php.
Four Views of a Tesseract, Rotating in Hyperspace
These tesseract views are all of the perspective projectiontype, with the first one, above, being done in cellfirst fashion. The next one is projected edgefirst. The third one is projected vertexfirst. Lastly, facefirst: Although all of these are rotating in … Continue reading
Rotating Compound of the Tesseract and Its Dual
Blue figure: a projection of the tesseract, or hypercube; also known as the 8cell or octachoron — a fourdimensional figure composed of eight cubic cells in a regular arrangement. Red figure: its dual, the 16cell or hexadecachoron, which is composed … Continue reading
The Two Simplest Polychora
The most familiar polychoron, to those who have heard of any of them, is the hypercube, or tesseract. It is analogous to the cube, but in four dimensions. All polychora are fourdimensional. With numbers of spatial dimensions above four, only … Continue reading
Posted in Mathematics
Tagged 4th dimension, 5cell, 8cell, fourth dimension, geometry, hypercube, hyperspace, math, Mathematics, polychora, polychoron, polytope, tesseract
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