←The Secrets of the Pyramids
and the Ancient Sites

The cubit, the foot, and the meter — one system

Three units from three worlds. The royal cubit, the pyramid's own unit, said to be the length of a forearm. The foot, said to be a foot. The meter, defined by France in 1791 as one ten-millionth of the distance from the North Pole to the equator. Nobody who made any one of them knew the others. Here is how they fit. Observed

So the foot is unity, the cubit is the growth on it — e is the number banks use for continuous compounding, and e − 1 is what one dollar earns in a year at 100 percent — and the meter is the cubit turned into a circle. Growth in a line, growth in a circle, and the three together come back to a whole number of feet. The amazing question is not whether this is so. It is: how did a forearm, a foot, and the size of the Earth end up inside each other, in one building, with nobody in the room who knew all three? Observed

Three pyramids, three stars

In 1989 Robert Bauval laid a star map over the plateau and saw Orion's belt: Alnitak on the Great Pyramid, Alnilam on Khafre, Mintaka on Menkaure, the small one set off the line as Mintaka is set off in the sky. The map has to be turned south-up — the way an Egyptian stood, facing Orion — and then it lies down on the sand. The bend at Khafre is 11.5° on the ground and 7.5° in the sky; the second gap is 7% shorter on the ground and 2% longer in the sky. Run the belt's tilt back through the 25,920-year wobble of the Earth's axis and it matches the plateau's diagonal around 10,450 BC — Bauval's First Time. Observed

Four shafts, four stars

Each upper chamber has two shafts, 20 cm square, cut toward the north and south faces. Badawy and Trimble, 1964: the King's Chamber's south shaft (45°) points at Alnitak crossing the meridian; its north shaft (32.5°) at Thuban, the pole star of the age. Bauval, 1994: the Queen's Chamber's south shaft (39.6°) at Sirius, its north shaft (39.1°) at Kochab. All four work in one epoch, 2450–2550 BC. In 1993 Gantenbrink's robot climbed 65 m up the Queen's south shaft to a small door with two copper pins; a second robot drilled it in 2002 and found another slab; Djedi, in 2011, read red marks on the floor between. Surveyed

The diagonal, and the spiral

A line through the south-east corners of all three pyramids runs 43° east of north, straight at Heliopolis, 20 km away; Khafre's corner misses it by 12 m. The rectangle holding all three — Khufu's north-east corner to Menkaure's south-west — is 35,721 by 29,228.7 inches on Petrie's survey: 11 to 9, which Grant and Green scale to 528 by 432. A golden spiral with its eye on the Sphinx sweeps through Khufu and past the other two; Grant's mod-24 spiral runs the corners of all three and the Sphinx's left paw. Observed

Osborn draws the plateau north up, the Great Pyramid at the top and a point far to the south, marked 1, where two lines climb at 51° to the west and the east: the face angle of the pyramid, laid flat on the ground. A second pair of lines leaves the same figure at 23°, within half a degree of the tilt of the Earth's axis, and the equinoctial line runs east and west through the Sphinx, the line the sun rises along at the equinox. The golden spiral starts at the south point and takes the three pyramids in order: 2 is Menkaure, 3 is Khafre, 4 is the Great Pyramid, whose apex it crosses, then it tightens through 5 and 6 to its eye at 7, on the equinoctial line beside the Sphinx and the Valley Temple. Seven points, the number of the heptagon in section X. The spiral on the satellite image above is the same curve with its eye on the Sphinx. Observed

Every room we know, and the ones we don't

The entrance is 17 m up the north face, 7.3 m east of center, under two limestone chevrons. The Descending Passage drops at 26°31′ for 105 m to the Subterranean Chamber, 30 m below the base and cut into bedrock, left rough, with a square pit in its floor. Partway down, the Ascending Passage climbs at the same angle to the Queen's Chamber — on the axis at 21 m — and to the Grand Gallery: 47 m long, 8.6 m high, seven corbels. Through an antechamber with portcullis slots, the King's Chamber: floor at 43 m, Aswan granite, nine beams and five relieving compartments above, its center 11 m south of the axis. Surveyed

Then the rooms nobody has entered. 1986: French microgravimetry finds a low-density zone behind the west wall of the Queen's passage; a drill breaks into a cavity of quartz sand at 3 m. 1987: Waseda University's radar reports cavities beside and beneath the same passage. 2008: Jean-Pierre Houdin's internal ramp, wound inside the faces, and two antechambers north of the King's Chamber. 2016: muons see a void behind the north-east edge. 2017: the Big Void — at least 30 m long, cross-section like the Grand Gallery's, 40–50 m above the Queen's Chamber floor, found by three muon methods independently. 2023: the North Face Corridor — 9.06 by 2.02 by 2.18 m, horizontal, 0.84 m behind the chevrons — confirmed with a 6 mm endoscope. 2025: resistivity imaging finds a 2.5 m anomaly a meter under the base. Leonardo's forehead, crown and knee lines, and Grant's reading of them, put chambers where nothing has been opened. Solid is entered; dashed is detected; dotted is predicted. Surveyed Observed

The room built on three, four, five

The height is half the floor's diagonal — chosen so every diagonal in the room is a whole number. A 3-4-5 triangle standing in three dimensions, two thousand years before Pythagoras. Derived

The walls carry the sky. Robert Edward Grant has spent seventeen nights in the room, scanned it with lidar and rebuilt it for Apple Vision Pro, and mapped the 36 decans — the ten-day stars of the Egyptian calendar, three to each sign of the zodiac — around its four walls in order. Taurus centers the north wall: the Apis bull and Hathor's cow under the face of Orion, Lyra across his brow, Cygnus beside, Draco and the four bears above. The east wall holds Capricorn to Pisces: a woman on Pegasus loosing Sagitta at Aquila, the fish of Piscis Austrinus above the wing — Delphinus, Pegasus, Aquila, Sagitta, the Southern Fish. Leo watches the coffer from the west. A double helix crosses Orion's mouth. The floor's 2:1 is the proportion of the four pole stars of precession — Polaris, Deneb, Vega, Thuban — and of Orion; scaled to the room the coffer is the belt. Turn the room. Observed

Grant's film: Mapping the 36 Decans of Astrology on the Walls of the Great Pyramid · his reel of the east wall · his video archive.

The rim of the box: Alpha, Omega, and a compass

On May 7, 2018, on the first of two nights inside, Grant found three markings on the back rim and the side of the box that appear in no survey of a room studied for centuries: an Alpha, an Omega, and a compass. They are not scratched in; they are pressed into the granite, debossed. The A stands 3.24 inches wide, which is 2φ, and the Ω 1.62, which is φ; the pair together span 5.6. The A's height is 2.38 inches, the Ω's 1.86, and 1.86 over 5.6 is a third, the hexagon's number. They sit 56.62, 58.22 and 59.62 inches along the 89.62-inch rim, 0.63, 0.65 and 0.66 of its length, which leaves 33, 31.4 and 30 inches to the far end: 89.62 divided by 33 is 2.716, Euler's e; 31.4 is 10π; 89.62 divided by 56.62 is 1.583, the Euler-Mascheroni constant plus one; 5.6 divided by 89.62 is 0.0625, one sixteenth. Take 0.37, the A's distance as a fraction of the rim, times 360: 133.2. From 180 that leaves 46.8, and from 90 that leaves 43.2, the upper slope of the Bent Pyramid at Dahshur. Observed

The compass on the side opens at 30°, a twelfth of the circle, the hexagon's angle halved: the working compass of every architect since, and of the square-and-compass on every lodge door. Set the Ω in a circle of degrees, its ring at the top, and its two feet fall at 137.5° and 222.5°. Those are the golden angle and its complement, 360/φ² and 360/φ, the angle a plant turns between one leaf and the next; and 137.5 is the fine-structure number, 137.04, to a third of a percent. Grant's own sheet, the Divine Compass, draws the two arms from the apex of a pyramid inside a circle, five points between them for the pentagon and 15° for the hexagon. Derived

The room to the box. The chamber is 412.38 by 206.19 by 231 inches: 19,641,614 cubic inches. The box is 89.62 by 38.5 by 41.5: 143,190. Divide, and the box fills the room 137.17 times; 1/α, the fine-structure constant, is 137.04, a tenth of a percent away. The width, 206.19 inches, is 17.18 feet, ten times e − 1, the same digits as the cubit in feet. The box's width over the room's, 38.5 over 206.19, is 0.1867: the speed of light in miles per second, 186,282, with the point moved. The floor diagonal is 461.05 inches, 38.42 feet; the corner-to-corner diagonal 515.5 inches, 42.96 feet. Derived

The walls: a clock that runs both ways

The sky the Egyptians kept had 48 constellations: the 12 signs on the sun's road, and under each sign three decans, 36 in all, one for every ten days of a 360-day year. Taurus carries Eridanus, Orion and Auriga; Scorpio carries Ophiuchus, the serpent-bearer some call the thirteenth sign. The Dendera zodiac shows them all. In December 2023 Grant took the petroglyphs he had found on the chamber walls, light etchings you see from the side, to Robert James Combers, who works in the decans, and Combers told him the figures were the decans, on the right walls, in the right order. Forty of the forty-eight are now placed. The north wall: the Apis bull inside Hathor's cow, and above them the Phoenix and the Benu bird, 13 feet across; the face of Orion, Lyra across his brow, Cygnus beside; Draco, the four bears, and a double helix. The east wall: a woman on Pegasus, Delphinus, loosing Sagitta at Aquila, with the vesica of Piscis Austrinus by the eagle's wing, and beneath her the letters THOTH and the number 126: the decans of Aquarius, in their order. The south wall: a water scene, snakes, the double helix again, and Ophiuchus holding the serpent that bites its own tail, the ram's horns of Khnum. The west wall: the Eye of Ra across two blocks, a king's face with a crown, another head laid over it, and Leo behind the box. Orion sits one degree below the ecliptic and Ophiuchus one degree above it, on opposite walls: every sign has its shadow, and the shadow of Taurus is Scorpio. Observed

So the room is a clock. The year goes forward through the signs: Aquarius, then Pisces, then Aries, with the sun. The ages go backward through them: the Age of Pisces, then the Age of Aquarius, against the sun, one sign every two thousand years, 24,000 in the round of the yugas. Both run on the same walls at once, a strip with a half twist, a Möbius band, which needs 540° to come back to its start, the turn DNA makes. The Egyptian year of 360 days is the mean of the sun's year, 365.25, and the moon's, 354, and it holds 8,640 hours; the precession holds 8.64 million days. The granite of the walls is 55 percent quartz, and quartz holds a charge: the room remembers. The blocks of the walls are not one size; no two are alike, each with its own length, height and depth, as no two stones of the whole building are alike, and Grant reads each block as a coordinate, one for each constellation reachable from the room: a stargate. Thirty-six decans, thirty-six plays of Shakespeare, thirty-six coffers in the ceiling of Leonardo's Last Supper, whose right-hand wall carries the cow with the bull inside it, the Alpha and Omega, an Eye of Ra and a king's face, and whose doorway is the box: each apostle a sign, the ram over the eye of one, the mark of Taurus on the brow of the next, the Ω of Libra on Magdalene's raiment. The Last Supper is a map of this room. Observed

The throat. In March 2023 the corridor behind the chevrons was announced: 27 feet long, a diamond-shaped pentagon in section, which is the shape of the throat seen down an endoscope, and the wall at its end looks like a pair of vocal cords. Grant had told the Egyptian authorities in 2017 that the next room would be at the throat line of the Vitruvian Man, reached by a second gallery at the Grand Gallery's own angle; Houdin's paper of December 2023 draws that gallery, at that angle, landing at the top right of the throat line. Grant calls it the magnum opus gallery. The pyramid was closed for him on a Saturday that month so he could show the walls, the rim and the box to one of the country's senior Egyptologists. Observed

Read the sheet with the cutaway above it. O is the base center, A and B the base corners, H the apex: OA = OB = 220 cubits, OH = 280. Q is the Queen's Chamber, at OQ = 41.42 cubits above the pavement, and 41.42 is 100(√2 − 1), which is also 80 times φ/π. R is the Great Step at the top of the Grand Gallery, OR = 82.84 cubits, exactly twice OQ, the level of the King's Chamber floor. From the Great Step to the apex, RH = 197.16 cubits, which is 20π² to a tenth of a percent. Three angles: θ = 51.8428° is the face; φ = 26.5651° is the slope of every passage, the angle whose tangent is one half; χ = 26.0578° is the angle from the corner B to the shaft exits. The Great Step is placed so that RH = RE, and the point V at the Queen's Chamber gable is the same distance from A, from B and from H: the center of the circle through the three corners of the section. Derived

Four circles are drawn from the apex. H1 and H2 pass through the exits of the shafts and the roofs of the King's Chamber; H3, with radius HO, passes through the Grotto on the well shaft; H4 is the outer one. The nearest the Earth comes to the Sun is 23,089 mean Earth radii, and the passages and royal chambers laid end to end, without the Great Step, measure 23.089 royal cubits per thousand of that. The height is 17 Grand Gallery heights, and 2πφ² is 16.45. Seventeen is the number of columns along the Parthenon's long sides, eight along the short, and the difference is nine: the stylobate measures 68 by 153 megalithic cubits, 4 × 17 by 9 × 17. Seventeen is the seventh prime; 153 is the sum of the first seventeen numbers. From the Parthenon to the Great Pyramid is 2,142 thousand royal cubits, 1,122 km, which is 1000(π − 1), and 14 × 153. The Great Pyramid stands 146.72 m; the mean height of the Acropolis above the sea is 152 m. Two sacred rocks, one height. Observed

Three pyramids from one drawing

Grant and the cryptographer Alan Green derive all three pyramids from Metatron's Cube — thirteen equal circles, every center joined to every other — with compass and straightedge and no measurement. The grid rests on the vesica piscis, Euclid's first construction, √3 to 1: three in one. A square's diagonals find its center; a half-diagonal makes a 1-2-√5 triangle, and √5 gives φ; three half-diagonals in a square give a 3-4-5. A circle from the cube's base line through two crossing points is the Great Pyramid's base; its height runs to the cube's center; the slope is 51.85°. Rotate the cube sixty degrees six times and six Great Pyramids interlock — the six hidden in the Vitruvian Man. Khafre is two 3-4-5 triangles back to back, found from Khufu's half-base square. Menkaure falls out of the half-diagonals. And the circle whose diameter is Khafre's height passes through the corners of Khufu's half-base square: the square meeting the circle. Three pyramids, one drawing, one architect. The cube itself sits inside the Flower of Life, the sixfold field of overlapping circles that also holds the five Platonic solids, the Tree of Life and the vesica piscis. And the number that keeps the plateau, 432, keeps the book of Revelation: 144,000 is 432 × 333⅓, and 12² × 1,000. Observed

Seven parts of a circle

The integer grid, Giza to Mexico

Abu Rawash, and the river as a body

Eight kilometers north-west, on ground 100 m higher, stands Djedefre's pyramid at Abu Rawash — on the line from the Great Pyramid's corner at the pyramid's own slope, faced at 60° in rose granite, its summit once above the Great Pyramid's own. Its blocks lie hundreds of meters from the core with burn marks on them: it exploded. Beside it, a satellite at 67.4° — the 5-12-13 triangle, the pyramid on the dollar bill and Cestius's in Rome, built about 12 BC and standing like new. The two are the pineal and pituitary of a body laid along the Nile: root at Abu Simbel, heart at Dendera and Abydos under Hathor, throat at Giza under the bull — Taurus rules the throat — crown at Abu Rawash. Fra Mauro's 1459 map names the Nile Gion, the Gihon of Eden, as Josephus did; Old Cairo was Babylon and still is on its signs; Kush means gushing water; the exploded pyramids of Abu Rawash are the Tower of Babel. Observed

The same numbers, on other ground

The Pyramid of the Sun at Teotihuacan carries Giza's 2π doubled, and that is only the start of it. Grant sets the two plateaus side by side and finds the bases in proportion to each other, the same constants in the dimensions, and the slopes cut from the same ratios. Three ways to read it: the two peoples met, which the schools find hard; they found the same mathematics on their own; or both drew from one source older than either. His 24 note quartertone scale takes it further, treating every ancient pyramid as a tuned instrument, its proportions a frequency. Observed

The Flower of Life, overlapping circles in sixfold symmetry, is carved on the granite of the Osirion at Abydos and appears in temples in China, India and Europe. Inside it sit the five Platonic solids, Metatron's Cube, the Tree of Life and the vesica piscis, and its proportions carry 432 and its multiples: the number in the pyramids' dimensions, in the tuning, in the speed of light and in the spacing of the primes. Grant reads it as the map of the plane itself, the oldest sacred figure and the framework under everything on this page. Observed

The first season of his Code X series, Ancient Wisdom Revealed, follows that knowledge back to the temples and pyramids of Egypt and reads them as portals of consciousness rather than buildings, the teaching carried forward by initiatic lines in art, architecture, music and writing for those able to see it. The second season, Metatron Revealed, takes Metatron's Cube as the blueprint of existence and organizes the Great Pyramid's intervals by 24. Observed

He walks the sites as well as measuring them. The 144 AXO expedition to Peru in 2024 read the Andean sacred sites for the same encodings; the Egypt expedition of 2025 worked the Great Pyramid with his Codex Universalis. On one visit he delivered a four hour lecture on the mathematics inside the King's Chamber, and the people in the room came out changed, not despite the mathematics but because of it: the space, the numbers and the intention of the group together. The next Egypt expedition is set for April 2027, on his site. Observed

Working it out by hand

The Lab's founding practice is compass and straightedge, and this edition started the same way: two sheets from the 2024 notebooks, drawn before a line of this page existed.