A bi-cyclic 4-polytope in ℝ 4 was introduced by Z. Smilansky as the convex hull of evenly spaced points on a generalized trigonometric moment curve in ℝ 4 . We present combinatorial geometric conditions that yield the face lattices of a class of such 4-polytopes.
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Tibor Bisztriczky (2024) studied this question.
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