Fig. 21.
THEORY OF LOTUS
RUDIMENTS IN SPIRAL.
Tomb 33, Abd-el Kourneh,
Thebes. Goodyear,
“Grammar of the Lotus,”
p. 96.

By another path of the evolution of his theory, one has only to square the spiral volutes, and the result is the Greek fret shown in [fig. 25].[67] The Greek fret has only to be doubled, when it produces the Swastika shown in [fig. 26].[68] Thus we have, according to him, the origin of the Swastika, as shown in figs. [27] and [28].[69]

Professor Goodyear is authority for the statement that the earliest dated instances of the isolated scroll is in the fifth dynasty of Egypt, and of the lotus and spiral is in the eleventh dynasty. The spiral of [fig. 19] (above) belongs to the twelfth dynasty.[70]

Fig. 22.
CONCENTRIC RINGS
CONNECTED BY TANGENTS.
From a figure in Petrie’s
“History of Scarabs.”
Fig. 23.
CONCENTRIC RINGS WITH
DISCONNECTED TANGENTS.
Barringer collection,
Metropolitan Museum of
Art, New York City.
Goodyear, “Grammar of
the Lotus,” pl. 8, fig. 93.
Fig. 24.
CONCENTRIC RINGS
WITHOUT CONNECTION.
Farman collection,
Metropolitan Museum of
Art, New York City.
Goodyear, “Grammar of
the Lotus,” pl. 8, fig. 95.
EGYPTIAN SCARABÆI SHOWING EVOLUTION OF CONCENTRIC RINGS.

Professor Goodyear devotes an entire chapter to the Swastika. On pages 352, 353 he says: