Forms of the Plane · 3D
Vesica Sphaera
Two spheres, each through the other’s centre
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
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
- Its slice Vesica PiscisEach circle is the equator of a sphere through the other’s centre. They meet in a ring.