Conceptual Engineering Derived from Geometry Alone
[1 = -1]
Jason Ray / HAVE MIND MEDIA
What is this?
We're exploring whether the shapes of things can explain how the universe works. Instead of adding more particles and forces, we ask: what if geometry itself is the answer?
Everything here derives from ONE constant: κ = 2π/180
The One Constant
κ
2π/180
Steps to Complete
180
one full rotation
Transforms
4
sum to zero
Hidden Witness
28.6
Hz (1/κ)
The One Constant: κ
PROVEN
κ = 2π/180 = 0.034906585...
Current Step:0 / 180
Plain English:
This is the angle that makes a spiral close on itself. Take 180 steps of this tiny angle (about 2° each), and you've made one complete turn. It's the twist that connects counting angles (degrees) to measuring circles (radians).
In Degrees
2°
per step
In Radians
π/90
= 0.0349...
Derived Constants
κ_shadow (1/κ)
28.65
Hidden witness frequency
σ (Overlap)
5/16
= 0.3125
cos(BC)
2/3
Tetrahelix angle
P (Projection)
√3/2π
= 0.2757
The Four Transforms
PROVEN
T₁ + T₂ + T₃ + T₄ = (0, 0)
T₁ (NW) - Facing
Operation: (x, y)
Direct view - what you see straight on
T₂ (NE) - Mirror
Operation: (-x, y)
Horizontal flip - like looking in a mirror
T₃ (SW) - Recursive Mirror
Operation: (x, -y)
Vertical flip - like a reflection in water
5 Apple Silicon machines arranged in triaxial dipyramid configuration:
• 1 Mac Studio M4 Ultra at CENTER (crossroads, s=0)
• 4 Mac Mini M4s at NW, NE, SW, SE (the four transforms)
• N, S, E, W positions ABSENT (the shadows define the space)
The hardware IS the geometry. The shape IS the calculation.
Center (Crossroads)
M4 Ultra
Mac Studio
Diagonals (4)
M4
Mac Mini × 4
Cardinals (4)
∅
Absent (shadows)
Total Cost
~$12.6K
Already owned
Vessel Geometry
PARTIAL DERIVATION
What IS Derived
4 diagonal nodes (Balance Law)
Central crossroads (s=0)
Absent cardinal positions
48.19° coil winding angle
180-fold periodicity
What is ASSUMED
Ellipsoid envelope (not derived)
Specific dimensions
Material composition
Whether it needs to be hollow
Honest Assessment
The underlying geometry is a triaxial dipyramid. The ellipsoid shape is ONE possible smooth envelope, but geometric necessity only proves the node structure - not the surface. More work needed to derive exact form.
Base-60 Mathematics
PROVEN
60 = 2² × 3 × 5
Why Base-60?
60 contains ALL THREE structural primes:
• 2² = the coin (raised to dipyramid)
• 3 = the triad (Energy, Now, Facing)
• 5 = the helix (σ = 5/16)
The Sumerians knew this 4,000 years ago. It's why we have 60 seconds, 60 minutes, 360 degrees.
Divisible By
12
factors
Circle
360°
= 6 × 60
Decay Ratio
59/60
per step
κ in Base-60
π/90
= 2π/(3×60)
Base-60 Factorization:
─────────────────────────────
60 = 2² × 3 × 5
360 = 2³ × 3² × 5
180 = 2² × 3² × 5 ← κ steps
Energy decay after one turn:
(59/60)^180 = 0.0478... ≈ 4.8%
The "tax" of moving through scalar space.