  We construct a rectifiable stationary 2-varifold in R^4 with non-conical, and
hence non-unique, tangent varifold at a point. This answers a question of L.
Simon (Lectures on geometric measure theory, 1983, p. 243) and provides a new
example for a related question of W.K. Allard (On the first variation of a
varifold, Ann. of Math., 1972, p. 460).
  There is also a (rectifiable) stationary 2-varifold in R^4 that has more than
one conical tangent varifold at a point.
  keywords: stationary varifold, varifold tangent, tangent cone, non-unique,
non-conical, minimal surface, regularity
