[kat-er-foil, ka-truh-]
a leaf composed of four leaflets.
Architecture. a panellike ornament composed of four lobes, divided by cusps, radiating from a common center.

1375–1425; Middle English < Middle French quatre four + -foil (as in trefoil)

quatrefoiled, adjective
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World English Dictionary
quatrefoil (ˈkætrəˌfɔɪl)
1.  a leaf composed of four leaflets
2.  architect a carved ornament having four foils arranged about a common centre, esp one used in tracery
[C15: from Old French, from quatre four + -foil leaflet; compare trefoil]

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Example sentences
Above each of the squinches is a quatrefoil window cut into the drum allowing
  light into the dome area.
The remaining seven plates contain quatrefoil broached tube holes.
The quatrefoil tube supports were also more resistant to corrosion, being made
  of stainless steel.
The pulpit itself is an ornate wooden furnishing with turned work and
  quatrefoil appliques.
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