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Main Author:	Tijanic ( Тијанић ), Miljko ( Миљко )
Format:	Recurso digital
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Published:	Zenodo 2026
Online Access:	https://doi.org/10.5281/zenodo.19120815
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<h2>Abstract</h2> Children and students are often taught to accept historical conventions — Babylonian 360°, irrational π, and Euclid’s 180° — as unquestionable truths. These are conventions, not universal realities. This paper presents a universal measurement system that can be traced in monuments such as the King’s Chamber at Giza and the Dome of the Chain, and provides a globally testable experiment. Readers are encouraged to measure, calculate, and verify these truths themselves. <h2>1. Introduction</h2> Throughout history, authority has enforced numerical and geometrical conventions on learners. These include: <ul> <li> The Babylonian 360° circle </li> <li> The irrational π constant </li> <li> Euclid’s 180° triangle assumption </li> </ul> These conventions have been repeated without experimental verification. Such teachings often encourage children to accept authority blindly, without testing reality themselves. This paper presents a universal, testable measurement system based on real measurements observed in physical monuments. The system allows learners to verify truth independently, without reliance on historical authority or religious dogma. <h2>2. Universal Measurements</h2> The universal system is defined by a set of constants and relationships that are internally consistent and externally verifiable: <div> <div> <table> <thead> <tr> <th>Parameter</th> <th>Value</th> </tr> </thead> <tbody> <tr> <td>Circle</td> <td>420°</td> </tr> <tr> <td>Ki constant</td> <td>3.15</td> </tr> <tr> <td>6 cubits</td> <td>3.15 m</td> </tr> <tr> <td>20 cubits</td> <td>10.5 m</td> </tr> <tr> <td>Circumference formula</td> <td>O = 2 × r × Ki = 6 × L</td> </tr> <tr> <td>L</td> <td>r + r/20</td> </tr> <tr> <td>1 degree (example)</td> <td>0.75 mm (if r = 0.5 cm)</td> </tr> </tbody> </table> </div> </div> These values form the foundation for a measurable, universal system, distinct from authority-based conventions. <h2>3. Triangles — 3 Opposite Directions</h2> At Giza, the King’s Chamber demonstrates: <ul> <li> 10.5 m = 20 cubits </li> <li> 6 cubits = 3.15 m </li> <li> The Keops Triangle (60°–90°–60°) matches actual measurements rather than Euclidean assumptions </li> </ul> Consider an equilateral triangle example: <ul> <li> Side = 21 cm → Height = 18.2 cm </li> <li> 1/3 height = 6.066… cm </li> </ul> Observation: A triangle spreads 1 unit in 3 opposite directions, measurable with basic tools. This illustrates how geometric truths can be tested without relying on authority. <h2>4. Circles — 1/3 & 2/3 Spreading</h2> When constructing circles: <ol> <li> Draw a circle and mark 6 points on the circumference using a divider. </li> <li> Draw a second circle centered on one of those points. </li> </ol> Result: <ul> <li> 1/3 of the circumference overlaps </li> <li> 2/3 remains free </li> </ul> This principle of spreading is universal and appears in both triangles and hexagons, demonstrating consistent geometric behavior independent of convention. <h2>5. Hexagons — 6 Opposite Directions & David Stars</h2> At the Dome of the Chain: <ul> <li> Central hexagon radius = 3.5 m </li> <li> Flat perimeter = 21 m </li> <li> Applying Ki → circumference = 22.05 m → 42 Royal Cubits </li> </ul> Counting Procedure: <ol> <li> Consider the central hexagon as 1. </li> <li> Spread 21 units in all 6 directions. </li> </ol> Results: <ul> <li> Last layer = 120 hexagons </li> <li> Total hexagons = 1261 → solution 1260 </li> </ul> This demonstrates: <ul> <li> The connection of 1, 6, 21, and 20 </li> <li> The odd/even principle: 1 triangle in 4 opposite directions → 12 David Stars (6 odd + 6 even) </li> </ul> This shows mathematics in reality, observable at physical monuments, and independent of belief or authority. <h2>6. Circle-Hexagon Connection</h2> The universal formula holds across shapes: <ul> <li> 1260 = 2 × r × Ki </li> <li> Example: r = 0.5 cm → 1° = 0.75 mm </li> </ul> Triangles, hexagons, and circles all follow the same system, testable at: <ul> <li> King’s Chamber, Giza </li> <li> Dome of the Chain </li> <li> Any measurable circle </li> </ul> Compare with π — the Ki-based system matches physical measurements more accurately, demonstrating that authority-based conventions are not necessary for truth. <h2>7. Global Proof — Test the 420° Circle Yourself</h2> This is the core experiment demonstrating the universal 420° circle. Anyone can verify it without belief or authority. Materials: <ul> <li> Round object (plate, lid, wheel, etc.) </li> <li> Ruler or measuring tape </li> <li> String </li> </ul> Step 1 — Measure Radius (r): <ul> <li> Measure from the center to the edge of the circle. </li> <li> Example: r = 2 meters (any size works). </li> </ul> Step 2 — Measure Circumference: <ul> <li> Wrap string around the circle and measure its length. </li> </ul> Step 3 — Calculate Circumference Using Two Systems: <div> <div> <table> <thead> <tr> <th>System</th> <th>Formula</th> <th>Circumference (r = 2 m)</th> </tr> </thead> <tbody> <tr> <td>Restored System (Ki)</td> <td>O = 2 × r × 3.15</td> <td>12.60 m</td> </tr> <tr> <td>Authority System (π)</td> <td>O = 2 × r × 3.1416</td> <td>12.566 m</td> </tr> </tbody> </table> </div> </div> Step 4 — Compare & Verify: <ul> <li> Which formula matches your actual measurement? </li> <li> Repeat with other objects of different sizes. </li> </ul> ✅ This proves that Ki = 3.15 and the 420° circle matches reality. ✅ Observed in King’s Chamber, Giza, and Dome of the Chain, Temple Mount. ✅ Reality can be tested, verified, and shared globally. <h2>8. Discussion</h2> This system demonstrates: <ul> <li> Triangles spreading in 3 directions </li> <li> Hexagons spreading in 6 directions </li> <li> Circles following 1/3–2/3 spreading </li> <li> Odd/even principles creating 12 David Stars </li> </ul> These are measurable, universal truths. Students can observe the same principles without relying on authority or historical conventions, using simple tools and monuments as references. The experiments reveal that authority-based teachings (Babylonian 360°, π, Euclid’s 180°) are not the only system — and in fact, they fail to describe reality as accurately as the Ki-based system. <h2>9. Conclusion</h2> The universal measurement system: <ul> <li> Provides traceable numbers that can be tested on Earth’s monuments </li> <li> Demonstrates spreading principles in triangles, hexagons, and circles </li> <li> Offers a globally repeatable 2-meter circle experiment </li> <li> Gives students and researchers the tools to test reality independently </li> </ul> Authority need not define truth — reality is measurable. <h2>10. Suggested Hashtags for Social Sharing</h2> #TestReality #MeasureTheTruth #SacredGeometry #420Circle #Hexagon #TrianglePower #KingsChamber #Giza #DomeOfTheChain #UniversalSystem Sincerely, Miljko Tijanić (Kiki Quake 3)

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