The Rosy Cross
The pyramids have mystified travellers since they emerged from the jungle:

They are positioned west of Cairo and aligned with true north. Despite their antiquity, there is not a single hieroglyph on any of the structures—implying that they were built before dynastic Egypt.
Pictured below is the orbital period ratios of the inner planets reflected at Giza. On the x-axis are real numbers, on the y-axis are imaginary numbers. It’s worth remembering that the stereographic projection is smooth and bijective. It is also conformal, meaning that it preserves the angles at which curves meet. However, it is neither isometric nor area-preserving—it corrupts the distances and areas of figures.

So if the “iron mountains” above reflect the “iron planets” of Mercury, Venus and Earth, it means that the stereographic projection refers to their more subtle attributes. What are these? Well, the inner planets have orbital periods that are in golden mean proportion to each other. While this is shown by the x-axis above, in tabular form it looks like this:

The image above looks like a sun cross. The design is believed to be one of the oldest religious symbol in the world. To the Egyptians, it denoted the chariot wheel used by the Sun god, Ra. Like the swastika, the wheel symbolises auspiciousness—good fortune, prosperity and well-being.

If we revisit the Hermetic phrase “as within, so without” then we are reminded that the shape of a cross on the ground is also a stereographic projection of an element. If we accept that the sun cross implies the iron cross, then the element we wish to investigate is naturally Fe. Iron has the atomic number 26. It is a metal that belongs to the first transition series and group 8 of the periodic table. Iron is, by mass, the most common element on Earth, forming much of Earth’s outer and inner core.

The stereographic projection of the alpha iron (α) appears below and we can place the apexes of the three pyramids upon it:

Above: iron is the base metal that turns into gold
At centre is a tiny octagram, representing the Soul Star. It is the seat of divine love, spiritual compassion and perfect selflessness. The eighth chakra is the doorway between our immortal soul and the universe. This golden chakra clears the path to enlightenment.
But the rose granite in the pyramids hides a secret: hematite. Hematite’s significant iron content is reflected in the deep red colour of this rare mineral. The ancient Greeks were so fascinated with this gem that they named it haima, which means “blood” in Latin.

Above: rose granite gets its colour from hematite
Known as the “stone of kings” and the “stone of power,” hematite was a divine talisman used by rulers, warriors and priests in antiquity. Egyptian mythology and other beliefs throughout history implied that hematite was The Philosopher’s Stone.
As the stone of balance, this so-called “Rosy Cross” has left a lasting mark on the planet. Today we can still feel its effects by visiting places like Sedona, but in the distant past we had to build mountains (pyramids) as resonators to initiate the high born.

Above: the Three Tenors
The Soul Star is derived from the rhombic dodecahedron, a product of the cube and the octahedron. The three pyramids were once known as The Three Tenors, a reference to a musical chord. Here we are reminded of salt (Earth), mercury (Mercury) and sulphur (Venus) and the music that these three pyramids make together. When activated by the Sun, these rose granite pyramids sing in harmony.
The Hermetic phrase, “as above, so below; as within, so without” describes the explicit as implicit and invites us to travel seamlessly between the microcosmos and the macrocosmos. In mathematics, these patterns are described by fractals. The Star of Bethlehem reminds us of the rhombic dodecahedron and the mathematicians, astronomers and philosophers who fashioned this symbol of enlightenment.