What is a 16-cell?

Q: What is a 16-cell?


A: A 16-cell is a regular convex polychoron, or polytope existing in four dimensions.

Q: Who first described the 16-cell?


A: The Swiss mathematician Ludwig Schläfli first described the 16-cell in the mid-19th century.

Q: What is another name for the 16-cell?


A: The 16-cell is also known as the hexadecachoron.

Q: How many regular convex polychora were first described by Ludwig Schläfli?


A: Ludwig Schläfli first described six regular convex polychora, including the 16-cell.

Q: What does Conway call the 16-cell?


A: Conway calls the 16-cell an orthoplex for orthant complex, as well as the entire class of cross-polytopes.

Q: How many dimensions exist in which the 16-cell can exist?


A: The 16-cell can exist in four dimensions.

Q: What is the shape of the 16-cell?


A: The 16-cell is a regular convex polychoron, which means it has a well-defined, symmetric shape with flat faces and straight edges.

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