The invariance of correlation functions under conformal transformations severely constrain their dependence on field positions. A conformal field theory may have extra symmetries in addition to conformal symmetry. Liouville's theorem is a classical theorem of conformal geometry. Elements of the spacetime conformal group were called spherical wave transformations by Bateman. In many cases of physical interest scale invariance enlarges to conformal invariance. This construction plays a role in algebraic geometry and conformal geometry. There are many chemistries of conformal coatings available. Different methods of curing and drying are available depending on the conformal coating material. Most electronics will be protected with a layer of conformal coating. The anthracene tracer allows the conformal coating to be inspected under UV light. This makes conformal symmetry much more constraining in two dimensions. The system works by placing the test head on the surface of the conformal coating. This explains the distortion of the conformal projection. The projection is neither equal area nor conformal. This conformal field theory is under active investigation using the method of the conformal bootstrap.