drag to rotate · the star tetrahedron inscribed in a sphere · vertices land at 19.47°
Put a tetrahedron inside a spinning ball. Point one vertex at the north pole. The other three vertices land at exactly 19.47 degrees south latitude. That’s just trigonometry.
Now look at where things happen on actual planets:
• Mauna Loa, Hawaii: 19.47°N. Exact.
• Jupiter’s Great Red Spot: 22.4°S. Off on a perfect sphere — but Jupiter is so squashed at the equator that the corrected vertex band is 21-23°. Right in the band. Locked there for 350+ years.
• Olympus Mons (Mars): 18.65°N. Largest volcano in the solar system. 0.8° off, and its base covers the vertex easily.
• Saturn’s hexagonal storm: at the pole itself. Six sides. A hexagon is the 2D projection of the cube that lives inside the star tetrahedron.
Three different worlds. Same latitude. Same geometry.
Not mysticism. There’s a real fluid dynamics mechanism. Rotating spheres with internal heating develop convection columns aligned with the rotation axis (Busse 1970). These columns create preferred latitude bands where energy reaches the surface. The geometry whispers where. Nature decides.
Honest limit: most of the planet’s major features are NOT at 19.5°. Yellowstone is at 44°. Iceland is at 64°. Giza is at 30°. This is not a universal law. It’s a pattern with specific, striking hits and many misses.
Toggle to “the math” for the science version with oblate corrections and visualizations.
Inscribe a tetrahedron in a sphere. Put one vertex at the north pole. The other three vertices land at exactly 19.47° south latitude. That’s trigonometry: arcsin(1/3) = 19.471°.
Now add the second tetrahedron — flipped, interlocked. One vertex at the south pole, three more at 19.47° north. Six non-polar vertices total, evenly spaced around two latitude bands.
This is the same star tetrahedron (DST) that produces the Standard Model in C³. Same shape. Different question: does it show up on planets?
Put a shape inside a spinning ball. The shape picks favorite latitudes. Hawaii sits at one. Jupiter’s Great Red Spot sits at another. The largest volcano on Mars sits at another. Three different worlds, same latitude, same geometry. Not mysticism — fluid dynamics in rotating spheres. The shape whispers where. Nature decides.
Planets aren’t perfect spheres. They bulge at the equator from spinning. Earth is 21 km wider at the equator than pole-to-pole. Jupiter is 4,600 km wider.
A tetrahedron inscribed in an oblate spheroid doesn’t put its vertices at exactly 19.47°. The flattening shifts the latitude:
perfect sphere vs oblate: the vertex shifts with flattening
| Body | Flattening | Perfect sphere | Oblate-corrected vertex |
|---|---|---|---|
| Earth | 1/298 | 19.47° | ~19.5° ± 0.2° |
| Mars | 1/169 | 19.47° | ~19.4° ± 0.3° |
| Jupiter | 1/15.4 | 19.47° | ~21–23° |
| Saturn | 1/10.2 | 19.47° | ~22–25° |
Jupiter is so oblate that the vertex shifts by 2–4 degrees. This matters. Features that look “off” on a perfect sphere may be exact on the real shape.
Earth with inscribed DST. Red dots = vertex latitudes. Gold dots = features.
| Feature | Actual lat | Vertex band | Match |
|---|---|---|---|
| Mauna Loa, Hawaii | 19.47°N | 19.3–19.7° | EXACT |
| Kilauea, Hawaii | 19.42°N | 19.3–19.7° | YES |
| Pyramid of the Sun, Teotihuacan | 19.69°N | 19.3–19.7° | YES |
| Mount Emi Koussi, Chad | 19.78°N | 19.3–19.7° | Close |
| Yasur Volcano, Vanuatu | 19.52°S | 19.3–19.7° | YES |
Yellowstone (44.4°N). Toba (2.7°N). Taupo (38.8°S). Giza (30.0°N). Stonehenge (51.2°N). Iceland (64.5°N). Most of the planet’s major features are NOT at 19.5°. This is not a universal law. It’s a pattern with specific, striking hits and many misses.
Jupiter’s extreme oblateness shifts the vertex to ~22°. The Great Red Spot sits at 22.4°S.
On a perfect sphere this looks 2.5° off. On Jupiter’s actual shape (flattening 1/15.4), the oblate-corrected vertex band is ~21–23°. The GRS is right in the band. It’s been locked at this latitude for 350+ years, confined by jet streams that act as the geometry’s boundaries. The longest-lived storm in the solar system, pinned to a tetrahedral vertex on an oblate sphere.
Mars is nearly spherical. Vertex stays close to 19.47°. Olympus Mons at 18.65°N.
Largest volcano in the solar system. 21.9 km tall. Spans 10° of latitude. Its caldera center sits 0.8° from the vertex on a nearly spherical Mars. The base covers 19.47° easily. Three other Tharsis volcanoes (Arsia, Pavonis, Ascraeus) form a line at different latitudes — only Olympus is at the vertex.
Saturn’s north pole hexagon. A standing wave with wavenumber 6 — the cube inside the star tetrahedron.
Not at a vertex latitude. At the pole — where the vertex itself sits. The hexagon is a standing Rossby wave with wavenumber 6. Lab experiments reproduce it: spin fluid at the right differential rate and a hexagon appears. Six sides because a hexagon is the 2D projection of the cube that lives inside the star tetrahedron. The inscribed geometry doesn’t just set vertex latitudes — it sets the wave modes at the poles.
Sunspots emerge in latitude bands that migrate toward the equator over the 11-year solar cycle (Spörer’s law). Peak activity bands cross through ~19.5° during the rising phase. The sun is a rotating fluid sphere with internal convection. The geometry applies.
This isn’t mysticism. There’s a real fluid dynamics mechanism.
In a rotating fluid sphere with internal heating (like a planet), convection organizes into columnar structures aligned with the rotation axis (Busse 1970, published in Journal of Fluid Mechanics). These columns create preferred latitude bands where energy upwells to the surface. The exact latitude depends on rotation rate, shell thickness, and the Rayleigh number — but the mechanism for geometric patterning in rotating convection is established physics.
Whether Earth’s specific parameters produce a preferred band at 19.5° is an open computation. Nobody has published it. That’s the gap.
The geometry creates preferred locations for energy concentration, not mandatory ones. Plate tectonics, impacts, initial conditions, and billions of years of evolution redistribute things. The shape whispers where. Nature decides. Most features end up elsewhere. A few — Hawaii, the Great Red Spot, Olympus Mons — landed exactly where the geometry said.
MATCH Hawaii (Mauna Loa at 19.47°N — exact)
MATCH Great Red Spot (22.4°S on oblate Jupiter — in corrected band)
MATCH Olympus Mons (18.65°N — 0.8° off, base covers vertex)
MATCH Saturn hexagon (polar vertex, wavenumber 6 = cube projection)
MATCH Teotihuacan (19.69°N — 0.2° off)
SUGGESTIVE Sunspot bands cross 19.5° during rising phase
NOT HERE Most volcanoes, most monuments, most features — scattered everywhere
Ghost research. We see something. Three strong hits on three different worlds, corrected for oblateness. A fluid dynamics mechanism that could explain it. And a shape that every ancient tradition drew independently.
Not proved. Not dismissed. Watching.