Circle-Based Geometry
Seed of Life
Seven circles: one centre, six around, each through the centre.
Explore← Fundamental Forms
Vesica Piscis
The Vesica Piscis is the lens-shaped region where two equal circles overlap.
Vesica Piscis2 circles · 0 segments · 0 solidsdepth 70% · Crystal · persp
Construction
Two circles of radius r; in the classic form their centres are r apart. Adjust the separation to watch the lens change.
Mathematical properties
- ◇Classic lens height/width ratio is √3 : 1
- ◇Euclid's Elements I.1 uses it to build an equilateral triangle
- ◇Intersection points found analytically
Symbolic interpretation
Used in Christian iconography and medieval architecture.