Circle-based · 2D · v1.0.0
Seed of Life
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Mathematics
Geometric construction
A central circle of radius R and six circles of radius R centred at 60° intervals on its circumference.
Symmetry: Dihedral D6.
Culture
Symbolic interpretation
Linked in modern esoteric literature to the days of creation.
Formulas
Available frequency mappings
- A · Direct ratio fᵢ = f₀ · rᵢ
- B · Power fᵢ = f₀ · rᵢ^α
- C · Logarithmic fᵢ = f₀ · 2^(k · log₂ rᵢ)
- D · Reference distance fᵢ = f₀ · (dᵢ / d_ref)^α
- E · Angular rᵢ = θᵢ / θ_ref ; fᵢ = f₀ · rᵢ^α
Units u
Coordinates
| id | x | y | z |
|---|---|---|---|
| P0 | 0.0000 | 0.0000 | 0.0000 |
| P1 | 1.0000 | 0.0000 | 0.0000 |
| P2 | 0.5000 | 0.8660 | 0.0000 |
| P3 | -0.5000 | 0.8660 | 0.0000 |
| P4 | -1.0000 | 0.0000 | 0.0000 |
| P5 | -0.5000 | -0.8660 | 0.0000 |
| P6 | 0.5000 | -0.8660 | 0.0000 |
Distances & angles
r(C0)1.0000 u
r(C1)1.0000 u
r(C2)1.0000 u
r(C3)1.0000 u
r(C4)1.0000 u
r(C5)1.0000 u
r(C6)1.0000 u
r(C7)2.0000 u
|C0C1|1.0000 u
|C0C2|1.0000 u
|C0C3|1.0000 u
|C0C4|1.0000 u
|C0C5|1.0000 u
|C0C6|1.0000 u
|C1C2|1.0000 u
|C1C3|1.7321 u
|C1C4|2.0000 u
|C1C5|1.7321 u
|C1C6|1.0000 u
|C1C7|1.0000 u
|C2C3|1.0000 u
|C2C4|1.7321 u
|C2C5|2.0000 u
|C2C6|1.7321 u
|C2C7|1.0000 u
|C3C4|1.0000 u
|C3C5|1.7321 u
|C3C6|2.0000 u
|C3C7|1.0000 u
|C4C5|1.0000 u
|C4C6|1.7321 u
|C4C7|1.0000 u
|C5C6|1.0000 u
|C5C7|1.0000 u
|C6C7|1.0000 u
Derived ratios
|C4C5|1.000000
|C1C3|1.732051
r(C7)2.000000
f_i = f_0 × r_i · v1.0.0 · user-configured
Frequency derivation — centre distances
| id | r = d / R | exact (reference) | sources | f = f₀ × r |
|---|---|---|---|---|
| R1 | 1.000000000 | 1 | |P0P1| |P0P2| |P0P3| … | 220 × 1 = 220.000 Hz |
| R2 | 1.732050808 | √3 | |P1P3| |P1P5| |P2P4| … | 220 × √3 = 381.051 Hz |
| R3 | 2.000000000 | 2 | |P1P4| |P2P5| |P3P6| | 220 × 2 = 440.000 Hz |
Click a row to highlight its source points in the drawing. R = 1.0000 u. Exact forms are recognised reference values; the calculation itself is numeric. This mapping is a chosen design rule, not a law of nature.
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