What is the difference between flaky and short pastry?
How the fat is distributed — in visible layers or rubbed evenly through the flour — and it produces two completely different textures from nearly identical ingredients.
Shortcrust — "short" means crumbly. Fat is rubbed into the flour until the mixture resembles breadcrumbs, coating the flour particles. Because the flour is coated in fat, water cannot reach much of it, so gluten development is inhibited — which is exactly what "shortening" means. The result is tender and crumbly rather than layered.
Rules for shortcrust: keep everything cold; use minimal water, since water is what forms gluten; handle as little as possible; and rest before rolling so the gluten that did form relaxes, which prevents shrinking in the tin.
Flaky, rough puff and puff pastry — layers. Fat is kept in sheets or lumps between layers of dough rather than rubbed in. During baking, water in the dough turns to steam and pushes the layers apart, while the fat melts and crisps them. The lift is entirely steam-driven — there is no raising agent.
Puff pastry is made by laminating: enclosing a block of butter in dough and repeatedly rolling and folding, multiplying the layers into hundreds. Rough puff is a quicker version with lumps of butter rolled and folded fewer times, giving a less regular but perfectly good result.
Rules for laminated pastry: the butter must stay cold and pliable — too warm and it merges into the dough, destroying the layers; too hard and it shatters. Rest between folds. Cut edges cleanly, since a squashed or glazed edge seals the layers and prevents rise, which is why pastry sometimes rises on three sides only.
Choux is a third thing entirely: flour cooked into boiling water and butter, then beaten with eggs. It puffs from steam into a hollow shell, and is the basis of profiteroles and eclairs.
Hot water crust, for raised pies, uses boiling water and lard to make a strong, mouldable pastry that holds its shape.
Sweet pastry (pâte sucrée) is shortcrust with sugar and egg — more biscuit-like, more fragile, and frequently easier to press into a tin than to roll.