Nothing officially exists on what the worshipped Ti is, however during the episode Meglos we can glean that Ti is not a physical living entity but an ultimate state of perfection. Ti may refer to the structure of the Dodecahedron that the religious group on Tigellas (the Deons) believed to be the ultimate universal form. Since the Deons' belief that the dodecahedron is an ultimate form and its substructure is thus also an ultimate state the mathematical principle could be the basis of the religious worship and there in idealization of the structure.
The Savants, however, logically oriented, and science oriented, would see it ultimately as a geometric shape (regardless of its complexity). In the plot line of the story in Meglos, this conflict of understanding of what the dodecahderon is, is the basis for the conflict between the two factions.
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