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Quatrefoil motifs — especially in three-dimensional objects — require a high degree of mathematical skill and craftsmanship to successfully execute.
And so as the quatrefoil made its way to Europe, it was incorporated into buildings that known for the grandeur: cathedrals.
Quatrefoils were often used in tracery, the stone frames around stained glass.
By virtue of appearing in Christian houses of worship, the quatrefoil came to take on a Christian meaning–the four lobes could signify the four evangelists, or it could be seen as a stylized crucifix.
But this symbolism likely only arose after the symbol was already in place.