Circle-Based Geometry
Seed of Life
Seven circles: one centre, six around, each through the centre.
Explore← Complex Sacred Patterns
Flower of Life
The Flower of Life is a lattice of overlapping equal-radius circles arranged with six-fold rotational symmetry.
Flower of Life20 circles · 0 segments · 0 solidsdepth 70% · Crystal · persp
Construction
Circle centres are placed on a hexagonal (triangular) lattice with spacing equal to the radius r, limited to a chosen number of rings, then enclosed by an outer boundary circle.
Mathematical properties
- ◇Spacing between neighbouring centres equals the radius
- ◇Dihedral symmetry D6 (6 rotations, 6 reflections)
- ◇Rings n give 3n(n+1)+1 circles: 7, 19, 37, 61
Symbolic interpretation
Many traditions use the pattern as a symbol of interconnection and creation. These are cultural interpretations, not mathematical properties.