secondary structure
A bare polypeptide chain does not flop around at random. Stretches of it snap into a few neat, repeating shapes — the way a long ribbon naturally coils into a spring or folds back and forth into a fan. These local, regular shapes are a protein's secondary structure: the first layer of order above the plain sequence.
There are two main forms, plus connectors. The alpha helix is a right-handed spiral, the backbone winding like a corkscrew. The beta sheet is built from extended strands lying side by side, like the planks of a boardwalk. Crucially, both are held together by hydrogen bonds between atoms of the backbone itself — specifically between the carbonyl oxygen of one residue and the amide hydrogen of another a few positions away — not by the side chains. Each such bond is weak, but a helix or sheet has many of them acting together, so the whole structure is stable. Between and around these regular elements run turns and loops: shorter, less regular segments that let the chain reverse direction and connect one piece to the next.
Secondary structure matters because it is the intermediate vocabulary of folding — the cell does not jump straight from a sequence to a finished blob; it first forms helices and sheets, then packs those together into the full shape. The exact mix of helix, sheet, and loop, and where each falls along the sequence, is one of the things that distinguishes one protein's architecture from another's, and it is heavily shaped by which amino acids are present (proline, for instance, tends to break a helix).
Hair and wool are largely alpha helix; spider silk is largely beta sheet. The same chemistry of backbone hydrogen bonds, arranged two different ways, gives one material spring and the other tensile strength.
Helix and sheet are the two recurring patterns; turns and loops connect them.
Secondary structure is held by backbone hydrogen bonds, not side-chain interactions — this is what makes it 'local' and largely independent of which exact side chains are present.