The best shapes for alfredo
Butter and finely grated parmigiano beaten into hot pasta until the fat and the cheese come together into a glossy coat. The Roman original contains no cream. The American version adds it, which thickens the sauce and makes it far more forgiving, and that is the version most people picture.
Butter and parmesan emulsified on the heat of the pasta, cream added in the American version. A heavy coat that needs a wide porous egg ribbon to hold a thick layer.
Canonical: fettuccine. In Italy this is burro e parmigiano, the cream version is Italian-American.

Cavatappi grips sauce three ways at once.

Butter and cheese emulsions need surface, not pockets.

The diagonal cut is functional, not decorative.

A wide flat ribbon gives sauce more landing area per strand than any round noodle.
What we would not put it on
Smooth dried semolina tubes. This coat wants a slightly porous surface to grab, and an extruded wall sheds it as the plate cools, leaving a ring of butter on the china.
Want it the other way around? Start from a shape in the Pairing Finder.
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From the Almanac
Updates from Pasta Almanac, when there is something worth sharing.