A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homotopy equivalent to a sphere. The subposet of coherent cellular strings is the face lattice of the fiber polytope, hence is homeomorphic to a sphere. In some special cases, every cellular string is coherent. Such polytopes are said to be all-coherent. We give a complete classification of zonotopes with the all-coherence property in terms of their oriented matroid structure. Although the face lattice of the fiber polytope in this case is not an oriented matroid invariant, we prove that the all-coherence property is invariant.

多面体的蜂窝状串是在给定方向上彼此堆叠的一系列面。按细化顺序排列的蜂窝状琴弦的坐姿已知与球体同构。相干细胞串的子位是纤维多面体的面阵，因此对球体是同胚的。在某些特殊情况下，每个蜂窝串都是连贯的。据说这种多表位是全相干的。我们根据其类拟阵结构给出了具有全相干性质的带状昆虫的完整分类。尽管在这种情况下纤维多面体的面晶格不是取向的拟阵不变，但我们证明了全相干性质是不变的。