Rough prototype

Words read right to left. β = DT (T then D).

positivemirror1474-12511/2173-1/21392308-2651/331-1/3653/282-3/2252/382-2/3253173-371/41-1/4254/38-4/373/58-3/575/231-5/212/58-2/575/331-5/313/431-3/41482-4
1324

1

D, 1 crossing

Open on Tangle Darkly
Continued fraction
[1]
From 1
the root
Words to length 7
474

Shortest move

1
2
3
4
5
6
7

Shortest words

Every word

DβTββTTDDβDβDTDTTβDβDTβDDTDβTβDβββDβDDTDTDTβTTTββTTTTβTDββTβDDβDTDββTTβββTβTTββDβββTββDDβTDTDββDTDTTTTDDβTTDTTDβDDβDβDβDTβDDTTβDβDββDDTββDβDDDTDTDDTβTTDTββTDTTTβDTDββDTTTDTTDβDTTβDTTTDTTTTβDβTTDTβTTDDTβT