diff --git a/Plugin/unraid/include/monitor_board.php b/Plugin/unraid/include/monitor_board.php index 3cdacab..38f2e9d 100644 --- a/Plugin/unraid/include/monitor_board.php +++ b/Plugin/unraid/include/monitor_board.php @@ -13,9 +13,14 @@ // Powers of two, all the way down. // Column counts are 8, 4, 2, 1 and every span is 1, 2, 4 or 8. That pairing is what makes // the board tile with no holes at every width without a single hand-placed card: 32 span -// units divide into 8 columns as 4 rows, into 4 as 8 rows, into 2 as 16, into 1 as 32. -// A rung of 6 or 10 columns does not divide a span of 4, which is why the previous ladder -// needed a per-breakpoint override for every wide card and still left holes. +// units divide into 8 columns as 4 rows and into 4 as 8. A rung of 6 or 10 columns does +// not divide a span of 4, which is why the previous ladder needed a per-breakpoint +// override for every wide card and still left holes. +// +// Below four columns the arithmetic stops being a division. Spans clamp to the column +// count, so a span-4 card contributes 2 at two columns and 1 at one, and the board is 13 +// rows and then 18 rather than the 16 and 32 a naive division predicts. It still tiles +// without holes, for a different reason: a clamped card fills its row outright. // // Breakpoints are arithmetic, not taste. // A column count is viable exactly when the cards still fit: