Polymorphism in materials often leads to significantly different physical properties-the rutile and anatase polymorphs of TiO 2 are a prime example. Polytypism is a special type of polymorphism, occurring in layered materials when the geometry of a repeating structural layer is maintained but the layer-stacking sequence of the overall crystal structure can be varied; SiC is an example of a material with many polytypes. Although polymorphs can have radically different physical properties, it is much rarer for polytypism to impact physical properties in a dramatic fashion. Here we study the effects of polytypism and polymorphism on the superconductivity of TaSe 2 , one of the archetypal members of the large family of layered dichalcogenides. We show that it is possible to access two stable polytypes and two stable polymorphs in the TaSe 2−x Te x solid solution and find that the 3R polytype shows a superconducting transition temperature that is between 6 and 17 times higher than that of the much more commonly found 2H polytype. The reason for this dramatic change is not apparent, but we propose that it arises either from a remarkable dependence of T c on subtle differences in the characteristics of the single layers present or from a surprising effect of the layer-stacking sequence on electronic properties that are typically expected to be dominated by the properties of a single layer in materials of this kind.he MX 2 layered transition-metal dichalcogenides (TMDCs, M = Mo, W, V, Nb, Ta, Ti, Zr, Hf, or Re and X = Se, S, or Te), have long been of interest due to the rich electronic properties that emerge due to their low dimensionality (1-9). Structurally, these compounds can be regarded as having strongly bonded (2D) X-M-X layers, with M in either trigonal prismatic or octahedral coordination with X, and weak interlayer X-X bonding of the van der Waals type. Many of these materials manifest charge-density waves and competition between chargedensity waves (CDWs) and superconductivity, e.g., refs. 5-9. Among the TMDCs, the 2H (H: hexagonal) polytype of tantalum diselenide (2H-TaSe 2 ) is considered one of the foundational materials (8-18), showing a transition from a metallic phase to an incommensurate charge-density wave (ICDW) phase at 123 K, followed by a "lock-in" transition to a commensurate chargedensity wave (CCDW) phase at 90 K. It finally becomes a superconductor with a rather low transition temperature