The Teglon

Definition

The Teglon is a named, classical tiling problem of geometric form. Its exact statement has not been provided in the available accounts, but tradition roots it in the culture of the Halls of Orithena and associates it with formal spaces such as the Decagon before the temple.

Context and Usage

• Historical allure and hazards: Stories describe thinkers brought to grief while fixated on the Teglon. Metekoranes is said to have stood on the Decagon at Orithena contemplating it when an ash fall buried the site; Rabemekes was thinking on it when he was killed on a beach; Suur Charla of the Daughters of Hylaea believed she had the answer scratched into dust but later lost her sanity. Accounts emphasize that efforts to solve it have spun off entire sub‑disciplines and, for some, unhealthy obsession.
• A rumored Lineage: Over centuries, fascination with the Teglon is said to pass from one generation to the next in a loosely connected “Lineage” (also called the Old Lineage). This is described as a tradition rather than a chartered Order; details remain vague and are often treated as rumor.
• Present relevance: Estemard, a former avout linked to the Concent of Saunt Edhar, pursued elaborate tiling as an avocation—work visible in the New Laundry’s geometric tilework—and is reported to have studied very old writings on the Teglon. Companions infer that his tile practice served as cover for sustained attention to the problem.
• Public discourse and conflations: In current talk, some observers use “The Teglon” as a label for the decagonal forecourt at Orithena (e.g., pointing to a phototype of the ten‑sided plaza and saying “The Teglon”), reflecting a tendency to conflate the named place with the problem; this usage is colloquial.
• Reticulum chatter: Searches clustered around Orithena and the dig on Ecba surface long‑running discussion from both high‑repute and low‑repute sources. Observers caution that sorting signal from noise is difficult and that much posted material may be unreliable; The Teglon is frequently invoked within that discourse.

Related Terms

• Halls of Orithena: classical setting linked to the problem’s origin.
• The Decagon: the named forecourt at Orithena tied to tales of Metekoranes’s contemplation of the Teglon.
• Concent of Saunt Edhar: community where Estemard’s tilework appears; his interest in the Teglon is part of how some remember him.
• Estemard: former avout whose reported avocation and studies focused on the Teglon.
• Hylaea: invoked indirectly through mention of the Daughters of Hylaea in a famous (and tragic) Teglon anecdote.
• Complex Protism: not the Teglon itself, but a metatheoretic framework discussed by the same theors who debate classical diagrams, providing context for how abstract structures are modeled and argued about.

Notes

• Statement withheld: No authoritative statement of the Teglon’s specification has been shown; references stress its reputation and cultural footprint rather than formal details.
• Terminology caution: The name is sometimes used as a place‑name for the Decagon; sources here treat that as shorthand rather than an official toponym.
• Ambiguity preserved: Reports of a clandestine “Lineage” remain unconfirmed and are recounted as rumor; the problem’s allure and risks are emphasized without claiming a resolution.