How many boards a board-on-board fence takes
A board-on-board fence hangs its pickets on both faces of the rails, each board lapping the two behind it, so it is the privacy fence's count with the gap taken away. With 5½ inch boards lapped 1 inch, each one adds 4½ inches of fence past the one before: 100 feet is (1,200 − 1) ÷ (5.5 − 1) = 266.4, so 267 boards for both faces together — 281 with 5% for culls. The same fence built tight on one face takes 219, so the second face costs about a fifth more lumber.
Everything behind the boards is the privacy fence's: 14 posts, 13 bays of 7' 8 5/16", three 2×4 rails a bay for 39 rails, and 47 bags of fast-setting concrete in holes 42 inches deep. The rails carry boards on both sides, so they are worth buying straight and screwing well: two screws where each board crosses a rail is 267 × 3 × 2 = 1,602 screws.
The lap is yours to set
The page laps each board 1 inch. Omni's board-on-board calculator laps about a quarter of the board's width — closer to 1⅓ inches on a 1×6 — and some builders lap 1½. At 1½ inches the same 100 feet takes 300 boards, 315 with the culls. The lap is the Board-on-board overlap under Assumptions; change it and every count follows. Boards shrink as they dry, and a lap is what keeps a gap from opening between them, which is the reason to build this fence at all: it stays private from every angle.
Shadowbox is the same arithmetic
A shadowbox fence alternates boards from one face to the other with a gap on each face narrower than a board. Seen straight on it is closed; seen at an angle it lets air through. Counted, it is the same: boards edge to edge along the line with a lap where they overlap. Type the overlap you mean — a ½ inch lap for a looser shadowbox — and the page counts the boards for both faces. We are not connected with any maker, store or supplier named here.