Designing for the bend order rather than the shape
Sequencing folds so that the tool can still reach the part.
A sheet metal part's finished shape can be perfectly valid on a drawing and still be impossible to actually produce, because a press brake has to reach every single bend one at a time in some order, and a bend formed early enough in that sequence can physically block the tooling from ever reaching a different bend that still needs to be made.
Why the order of bends is not just a scheduling detail
A flat sheet lies open and completely accessible before a single bend is made, every future bend line sitting in full view and reachable from any direction the tooling needs to approach it from. Each bend formed after that first one changes the part's geometry permanently, lifting a flange up out of the original flat plane, and that raised flange can, depending on its size and position, sit directly in the way of the tooling trying to reach an adjacent bend line that has not been formed yet. A part with several bends close together is therefore not simply a list of bends to be made in whatever order is convenient, it is a sequence of physical states the part actually passes through on its way to the finished shape, and every one of those intermediate states has to leave the next required bend still genuinely reachable by the press brake doing the work. This is easy to overlook precisely because a drawing only ever shows the finished state, every bend already formed and every dimension already settled, with nothing on the page to suggest that the path leading to that finished state was ever anything other than straightforward. The tooling itself makes the problem worse than it might first appear, since a press brake's upper tool and the frame holding it are not slender enough to slip into any gap a raised flange happens to leave, they need a genuinely open approach from above or from the side, and a flange that would pose no obstacle at all to a hand tool or to a person's fingers can still be exactly tall enough, or exactly positioned, to block the specific piece of steel the machine actually needs to bring down onto the next bend line.
The flat-pack-furniture comparison
Assembling a flat-pack wardrobe from its instructions means attaching panels and brackets in a specific, deliberately chosen order rather than whichever order seems most obvious from looking at the finished piece of furniture. Fitting an interior shelf bracket after the back panel and both side panels are already screwed together would leave no way to actually get a screwdriver into the now-enclosed corner that bracket needs to be fastened into, so the instructions specify that exact bracket earlier in the sequence, before the panels that would otherwise seal it away from any tool ever reaching it again. The finished wardrobe looks identical regardless of which order it was assembled in, every panel and bracket in exactly the same place either way, but only one of the many possible assembly orders actually keeps every fixing point reachable throughout the whole process, and a sheet metal part with several bends faces the identical constraint, its finished shape reachable by more than one theoretical bend order but its actual, physical bending process reachable by only a small few of them. A press brake operator working from a drawing that never states the intended bend order is, in effect, being asked to solve the wardrobe's assembly puzzle from scratch on the shop floor, and a skilled operator usually can, but a sequence worked out under time pressure at the machine is a far less reliable place to make that decision than a sequence checked calmly at the design stage, before any material has actually been cut. The instructions for a well-designed flat-pack piece also tend to group several fittings into a single step precisely where the order stops mattering, telling the builder to attach the interchangeable shelf pegs in whichever order is convenient, and only calling out a strict order where getting it wrong would actually seal something away, the same distinction a bend sequence drawing needs to make rather than numbering every bend as though equally constrained.
Why some valid shapes have no valid bend order at all
The harder version of this problem shows up when a part's geometry is checked carefully enough to discover that no ordering of its required bends keeps every single one reachable, every sequence eventually reaching a point where an earlier bend has sealed off access to a later one no matter which order the bends are tried in. A shape like this is not simply difficult to bend, it is genuinely impossible to produce as one continuous piece on a standard press brake, regardless of how skilled the operator is or how the tooling is set up, and the only real fixes are to change the part's geometry so a valid order actually exists, or to split the part into two or more separate pieces, each independently bendable, and join them afterward by welding or fastening. Discovering this late, after tooling has already been ordered or a batch already started, is a considerably more expensive place to find it than during the earliest design review, which is exactly why sequencing the bends on paper, checking each one against the shape the part will actually be in at that point in the process, belongs early in a sheet metal design rather than as an afterthought handled on the shop floor. A drawing that states the intended bend order explicitly, numbering each bend in the sequence it has to be formed in rather than leaving that sequence to be worked out later, closes this gap directly, giving the operator a plan already checked for reachability rather than a puzzle to be solved fresh at the machine on every single job. Splitting an otherwise unbendable part into two separate pieces carries its own cost worth weighing honestly, since every joint added back in to rejoin them is a new place for the finished assembly to flex, corrode, or come loose that the original one-piece design would never have had to contend with, which is exactly why checking for a valid bend order early is preferable to discovering, only after tooling is already committed, that splitting the part is the sole remaining option.
The number that matters here
A box needing four separate bends to reach its finished shape has twenty-four different theoretical orders those four bends could be performed in, and for many real parts only a small handful of those twenty-four orders, sometimes only one, actually keep every bend reachable by the tooling once the bends already made have started changing the part's shape.