How did Piero della Francesca use perspective in The Legend of the True Cross?

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In his fresco cycle The Legend of the True Cross (1452–66), located in the church of S. Francesco at Arezzo, Piero della Francesca utilized perspective to achieve a sense of simplicity and clarity of structure.1

His approach to the work is characterized by a controlled use of perspective, which contributes to the overall aura of serenity typical of his mature style. This cycle, along with his other works, reflects his deep interest in the mathematical and rational organization of space, a hallmark of his contribution to the Italian Renaissance. By employing these techniques, Piero created a monumental and balanced composition that remains one of the most significant examples of his mastery of spatial definition.12