Green’s Dictionary of Slang

puzzling sticks n.

[the criminal fig. ‘puzzles’ the crimes while being punished]

a triangle to which a criminal is tied to receive a judicial whipping.

[Aus]Vaux Vocab. of the Flash Lang. in McLachlan (1964) 260: puzzling-sticks the triangles to which culprits are tied up, for the purpose of undergoing flagellation.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue [as cit. 1812].
[UK]A. Thornton Don Juan in London II 404: Lagged means transported; [...] the puzzling-sticks, the cart’s tail, or whipping post.