16-cell
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In geometry, the 16-cell is the regular convex 4-polytope with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes first described by the Swiss mathematician Ludwig Schläfli in th
A 4-dimensional ring of 8 face-bonded tetrahedra, seen in the Boerdijk–Coxeter helix, bounded by three eight-edge circular paths of different colors, cut and laid out flat in 3-dimensional space. It contains an isocline axis (not shown), a helical circle of circumference 4𝝅 that twists through all four dimensions and visits all 8 vertices. The two blue-blue-yellow triangles at either end of the cut ring are the same object.
Tesseract
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In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and t
16-cell
…orthoplexes, or hyperoctahedrons which are analogous to the octahedron in three dimensions. It is Coxeter's β 4 polytope. The dual polytope is the tesseract (4-cube), which it can be combined with to form a compound figure. The cells of the 16-cell are dual to the 16 vertices of the tesseract. The 16-cell…
La Grande Arche de la Défense, a three-dimensional projected tesseract-shaped building
Tesseract With Hidden Dash Lines
Tesseract Without Hidden Lines