The rule is a 12 foot rule for unbroken (by openings) walls for general purpose receptacles in dwelling units (residential occupancies) and six feet from openings in walls.
210.52 is the article in the NEC that addresses this. There are closer spacings required for countertops and there are special rules and exceptions for special areas (foyers, hallways and bathrooms for example). The language changes depending upon the edition. Local ammendments can also alter the language. The original poster indicates he is in Wisconsin (location information on his profile).
If you don't agree with the code who cares? You are allowed to have more frequent spacing, the code is a minimum requirement, it is NOT a design manual, and therefore it does not have any requirements for convenient receptacle placement. This is all up to the designer.
The spacing is determined along a wall not an arc. Arcs, radius, etc. are used to determine proximity to hazards, for example the area near a sink that must be GFCI protected, etc. not in frequency or spacing of general purpose receptacles that is done by straight measurements where the wall meets the floor measured horizontally linear measurements at the floor so that no point on the wall is more than six feet from a receptacle. A sliding glass DOOR is not a wall it is an opening in the wall.