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Forms of the Plane · 3D

Vesica Sphaera

Two spheres, each through the other’s centre

Vesica Sphaera, drawn as a glowing line figure

Give the vesica piscis depth: two spheres, each centred on the other’s surface. They meet in a perfect circle, and their overlap is a lens-shaped solid.

Ring radius
√3 ⁄ 2
Spheres
2

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Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.

Facts

  • Seen from the side, the meeting circle becomes the vesica’s vertical chord.
  • The lens between the spheres is the 3D mandorla.
  • The same √3 that shapes the vesica sets the radius of the meeting circle.

Across the dimensions

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