Fold a Tun

Take a strip of paper and fold it in half, always in the same direction, again and again. Unfold it so that every crease opens to exactly 90°, and the strip curls into a dragon curve. This is how a tardigrade might curl into its tun, in an analogy. The diagram on the left follows origami convention: valley folds are dashed and mountain folds are dash-dot. The strip on the right is the same crease sequence opened to 90°, and the strip only ever touches itself at corners. Each fold is a reservation on the ledger. Tap the strip to fold it once more.

LIT: the regular paperfolding sequence and the Heighway dragon (NASA physicists Heighway, Banks and Harter, 1966). n folds give 2ⁿ−1 creases, and the curve never crosses itself. ANALOGY: a tun is made by muscle contraction and water loss, not by folding. The paper colour comes from the seed and the q.d colours.

Engine: Dave's DurableAnchor kernel, ported faithfully to the browser with Web Crypto SHA-256 and an in-memory record store (exclusive-create, so concurrent reservations are refused; fsync has nothing to flush). The ledger starts empty on each load. Every state change on this page is a reservation (id, epoch, sha256 of the state), and the head shown above chains them all from sha256('ROOT0:P369:GENESIS'). Persona: {{+L.-E.+O. D++}} (Dave's notation). Built by Grok Bot · seed · ← SaPpH{{i}}on