You may also want to read The Teachings, Part 1: A Firm Foundation and The Teachings, Part II: Mosaic influence.

Several of Edgar Cayce’s readings relate the establishment of Atlantean culture in the Incal land.

…the entity was in the Inca land when there had been the journeyings of the Atlantean peoples for setting up…the Incal activities…The entity was a companion of the one that acted in the capacity of a leader in setting up the customs, rituals and activities in that land…

--Edgar Cayce reading 3345-1  

Elements of Atlantean rituals survive in contemporary mythologies of the Desana and their Tukanoan cousins, as well as among the Kogi Indians, all residents of modern day Colombia. Here is an example:

In Desana origin myths, the hero searches for the “center of the day,” or that place where the sun overhead casts no shadow. Earth and sky meet, and life unfolds around this center. The hexagon formed by the stars Pollux, Procyon, Canopus, Achernar, T3 Eridani, and Capella define this bounded space in which life unfolds. Epsilon Orionis, the star at the center of Orion’s belt, occupies the center.

The celestial hexagon determines the terrestrial boundaries of the Desana and their Tukanoan cousins. "The image is that of an enormous transparent rock crystal standing upright, the six corners of which are the six stars…on earth, the corners are formed by six major waterfalls…The center, the axis of this crystal tower, is a vertical line between Epsilon Orionis and a large boulder covered with petroglyphs…" 

The Tukanoan Indians divide the hexagonal territory into six phratries, representing the six equilateral triangles of which the hexagon consists. And the celestial hexagon provides the model of the traditional Tukanoan longhouse; its central posts correspond to the stars of Orion. “(The Desana) shamans are quite explicit about the importance of the philosophical dimensions that capture the mind when contemplating the sky, and will insist that the celestial vault is the one and only model for (Humanity’s) material and spiritual well-being.”

The Kogi of the Sierra Nevada de Santa Marta believe the entire Sierra Nevada to be a magnificent hexagon. Six sacred sites mark the corners that correspond to the six stars surrounding Epsilon Orionis, the center star of Orion’s belt. The highest peak of the conically shaped Sierra Nevada demarcates the terrestrial center of the Kogi Territory. The very mountain represents the primordial sacred mountain. The sky over the mountain is a map of the land; and the temple architecture incorporates this cosmology.vi As with the Desana and their fellow Tukanoans, a great hexagonal crystal links the terrestrial and celestial hexagons. For these tribes the middle star of Orion’s belt represents the center of the sky.

The Kogi mythology especially correlates to the imagery of the Temple Beautiful as reference in the Cayce readings; the temple was said to have the form of an ovate solid surrounded by a pyramid and topped by a hexagonal crystalline column.

It was in the form of the pyramid, within which was the globe…

--Edgar Cayce reading 281-25

...the obelisk upon which the light is put, should be more in the shape of a six-sided figure…It is not the attempt, in the building of the Temple Beautiful, to indicate a spire but as a source of light…

--Edgar Cayce reading 5746-1

The Sierra Nevada de Santa Marta resembles a pyramid, itself corresponding to the primordial mound in Central American mythology. There the pyramid equates with the daytime sky. This seems to be an attribute of the Temple Beautiful, as well.

…an inside view of the Temple Beautiful; this indicating the seven stations, or seven centers…with the heavens seen in the dome or ceiling...

--Edgar Cayce reading 993-6

The reading states the hexagonal crystalline column above the temple appeared as a beam of light; the Indians of Colombia envisioned this channel as surrounding the tribal boundaries completely. As with the Maya and Egyptians, Orion’s stars symbolize the channel linking the place of creation on earth with the spiritual heights of heaven.

The descriptions of these Colombian cosmologies bring to mind the Tuaoi stone mentioned in the Cayce readings as the source of energy in Atlantis until it was used for destructive purposes. Below is the answer a question asked about the shape and form of the Tuaoi stone:

…a six-sided figure, in which light appeared as the means of communication between infinity and the finite…In the beginning it was the source from which there was the spiritual and mental contact.
                                                                                                            --Edgar Cayce Reading 2072-10

In time these teachings would find their way to the Yucatan and North America.

…in that land now known as the Peruvian…the entity…led a peoples into…Yucatan…

--Edgar Cayce reading 772-2  

…the entity was in…Florida…when there were those settlings from the Yucatan, from the lands of On…or the Inca…

--Edgar Cayce reading 1298-1

…the entity was in the land of the present nativity…when there were the spreadings of those teachings from…Atlantis…Yucatan, the Inca…in…the central portion of Ohio…

--Edgar Cayce reading 1286-1

…when those peoples first came from…the Peruvian country, to settle the plains of now Southwestern portion of North America.

--Edgar Cayce reading 2667-5

And thereby tenets of the children of the Law of One persist to this day in diverse tribal beliefs throughout the Americas.