Polygonal · 2D · v1.0.0
Heptagon
Scroll to zoom, drag to pan, double-click to reset.
Mathematics
Geometric construction
Regular 7-gon inscribed in a circle of radius R; vertex k at angle 90° + 360°·k/7. Side length = 2R·sin(π/7).
Symmetry: Dihedral D7.
Culture
Symbolic interpretation
Regular polygons appear across architecture and ritual diagrams worldwide.
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 | 0.0000 | 1.0000 | 0.0000 |
| P2 | -0.7818 | 0.6235 | 0.0000 |
| P3 | -0.9749 | -0.2225 | 0.0000 |
| P4 | -0.4339 | -0.9010 | 0.0000 |
| P5 | 0.4339 | -0.9010 | 0.0000 |
| P6 | 0.9749 | -0.2225 | 0.0000 |
| P7 | 0.7818 | 0.6235 | 0.0000 |
Distances & angles
|P1P2|0.8678 u
|P2P3|0.8678 u
|P3P4|0.8678 u
|P4P5|0.8678 u
|P5P6|0.8678 u
|P6P7|0.8678 u
|P7P1|0.8678 u
r(C0)1.0000 u
∠P2P1P72.2440 rad
∠P1P2P32.2440 rad
∠P2P3P42.2440 rad
∠P3P4P52.2440 rad
∠P4P5P62.2440 rad
∠P5P6P72.2440 rad
∠P6P7P12.2440 rad
Derived ratios
|P3P4|1.000000
∠P1P2P31.000000
r(C0)1.152382
My Archive
Saved generations from this symbol
Nothing saved yet for Heptagon.