Hyperdiffusion with Atlantis at its centre was argued at great length by Ignatius Donnelly when he proposed Atlantis as the mother culture, located in the Atlantic. Through colonisation and migration their civilisation was brought to the Americas and the Mediterranean, particularly Egypt. The idea received widespread support at the time and has persisted until today(a). A similar proposal was made by James Churchward in connection with his Pacific island of Mu.
Since Atlantis in the Atlantic is considered by many to be highly improbable and Mu only existed in Churchward’s imagination, a more likely explanation is that diverse ideas emerged independently in different locations, possibly around the same time. These developments then diffused through trade and migration in various directions, sometimes returning in an improved format. The result is that today we are finding that most ancient civilisations show evidence of cultural influences from more than one source.
Richard Cassaro and Jim Allen have both published online large collections of images(b)(c)(d) that clearly demonstrate widespread diffusion. This is particularly so in the case of South America where influences from both east and west are clearly evident. While it is regularly claimed that Egypt influenced South American civilisations it is obvious that Asian inspiration was equally, if not solely, at work. The existence of pyramids in both Egypt and Mesoamerica is put forward as evidence of contact between them. However, the problem is that the American pyramids were constructed hundreds if not thousands of years later than the Egyptian ones. However, in spite of this separation by time and distance, the Egyptians and the Aztecs also shared feathered-serpent deities(g)! What appears to be overlooked is the fact that the Chinese pyramids are more like Mesoamerican examples and are dated to the second half of the first millennium BC, again closer to the development of pyramids in Mesoamerica.
An even more unusual hyperdiffusionist opinion was expressed by the Argentine paleontologist, Florintino Ameghino (1854-1911), who thought that mankind originated in South America(h).
A 1986 paper(f) by Ben Urish entitled Cultural Diffusion should be read in this connection..
(g) http://atlantisquest.com/Quetzal.html (offline Mar. 2018) See Archive 2827