Phi-Ratio Geometry Calculator · Symmetric Field Physics
Input Dimension
steps
How to use
Enter any single dimension from your prototype — inner diameter, height, gap distance, coil radius, anything. The calculator builds the complete phi-ratio series in both directions. The BASE ROW (highlighted) is your input. Values above are φ× larger, values below are φ× smaller.
Geometric Diagram
Phi-Ratio Cascade Table
Step
Multiplier
Value (mm)
Value (input unit)
Ratio Check
Base Frequency
Hzsteps
Quick Frequency Presets
Frequency Cascade
Each frequency in the phi series is φ × the previous. Unlike harmonic series (integer multiples), phi-ratio frequencies never create destructive interference with each other — making them ideal for energy accumulation in resonant structures. Geometric dimensions that match these frequencies will naturally couple to them.
Phi-Ratio Frequency Cascade
Step
Multiplier
Frequency
Period (µs)
Wavelength (m)
Notes
Frequency Spectrum Diagram
The Egyptian Royal Cubit
The Royal Cubit = 523.6 mm — derived from the relationship between the meter and π. Your quartz crystal design of 70mm total height maps precisely to 70/523.6 = 0.1337 cubits = 1/(7.47) — remarkably close to 1/φ⁴ = 0.1459. The Great Pyramid's base is 440 cubits and height is 280 cubits — ratio 280/440 = 0.6364 ≈ 1/φ × 1.03. These are not coincidences — they encode phi-ratio geometry in architectural scale.
Cubit Converter
Royal Cubit Phi Cascade
Step
Multiplier
mm
Royal Cubits
Significance
LC Circuit — Coil Parameters
Coil Diameter (mm)
Wire Gauge (mm)
Number of Turns
Capacitance (pF)
Core Material
Coil Length (mm)
Leave 0 for auto (N x wire dia)
-
Resonant Freq
-
Inductance (uH)
-
Wavelength (m)
Phi-Ratio Frequency Cascade from Resonant Frequency
Once resonant frequency is calculated, the full phi cascade is generated automatically below. Frequencies where the phi series aligns with Schumann resonances are highlighted.
Phi Cascade from Resonant Frequency
Step
Frequency
Quarter-wave (m)
Half-wave (m)
Notes
Resonance Spectrum
Select Sacred Form
Scale (mm)
Key Ratios
Dimension
Ratio
Value (mm)
Significance
Target Frequency
Hz
-
Full Wavelength
-
Half Wavelength
-
Quarter Wavelength
-
Eighth Wavelength
Phi-Ratio Scaled Antenna Lengths
Each row below shows a phi-ratio scaled version of the quarter wavelength. Antennas cut to these lengths will resonate at phi-related frequencies — giving you a natural harmonic family of resonances from a single geometric series.
Phi-Ratio Antenna Length Series
Step
Length
Resonates at
Cut from copper
Notes
Fractal Type
Iterations (0-8)
038
Physical Size (mm)
Phi Spiral Overlay
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Elements
-
Fractal Dim
-
Element Size (mm)
-
Scale Ratio
Iteration Dimension Table
Iteration
Elements
Element Size (mm)
Total Edge Length
Phi Aligned?
Select Platonic Solid
Edge (mm)
-
Faces
-
Vertices
-
Edges
-
Inradius (mm)
-
Circumradius (mm)
Phi-Ratio Dimension Analysis
Dimension
Formula
Value (mm)
Phi Relation
The Great Pyramid of Giza — Encoded Mathematics
The Great Pyramid encodes both phi and pi in its proportions simultaneously. The apothem (slant height of face) divided by half the base = phi = 1.618. The perimeter divided by twice the height = pi = 3.14159. It also encodes sqrt(phi) as the height/half-base ratio. Original dimensions: base 230.33m (440 cubits), height 146.5m (280 cubits).
