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In this note we describe a wild 2-sphere 5 in E3 which can be pierced at each point by a straight line segment. The existence of such a wild sphere answers the following question which was raised by R. H. Bing in his address Embedding surfaces in 3-manifolds at the 1962 International Congress of Mathematicians in Stockholm: Is a 2-sphere in E3 tame if it can be pierced at each point by a straight line interval} In order to make the description of 5 as concise as possible, we make use of the terminology and notation of [2], the author's modification of Bing's well-known "Dog Bone Decomposition" (see [l]). We let G be the decomposition space defined in [2], and let ^40 be the union of the nondegenerate elements of G. It is possible to carry out the construction of A 0 in such a way that the endpoints of the components of Ao He in two parallel planes, and we assume that this is the case. We can represent ^4o = rC-o Bn, where each set Bn is the union of 2" admissible polyhedra (see [2, p. 502, Figure l]) P", P\, • • • , P\n. Now, if (in the notation of [2]) P" is represented as DJMVJR, we define Q" to be (basic parallelepiped of L)\JM^J(basic parallelepiped of it). We now define 5 to be the boundary of

A wild sphere which can be pierced at each point by a straight line segment