In a Paper read before this Society, 15 May, 1879, printed in Archaeologia, vol. XLVII. pp. 157–160, on “The Fret or Key Ornamentation in Mexico and Peru,” I showed that this form or symbol was there without doubt emblematic of water, and probably adopted independently of Western or Old World influence; and at the conclusion of the Paper I threw out a hint that the fylfot or swastika was an old Aryan symbol, connected with the older sky or air-gods, as represented by Indra and Jupiter Tonans and Pluvius, and not found in the New World. Since then I have gone very fully into a further investigation as to the general history and meaning of that ancient and mystic symbol; and believe I have arrived at a satisfactory solution of a question which has long been a puzzle to mythologists and antiquaries; but one which—in spite of the later labours and discoveries of Dr. Schliemann, Bernouf, Max Müller, of Ludvig Müller of Copenhagen, and most recently of Mr. Edward Thomas, the eminent numismatist —I believe, with Eergusson (Tree and Serpent Worship), has not yet been fully solved.