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What is a chess piece but a vector anyway? We want CV problems of the
calibre of good Physics questions, like ''(W) A seagull sits on the
ground. Wind-velocity is v. How high can the gull rise without doing any
work? (X) A siren is fixed at the origin. Wind is blowing at w = 100 km/h
from north. Determine (i) the group speed and (ii) the phase speed of
sound going north, south, and east. (Y) Neutral pi-mesons (mass m) in
flight at speed cB (with respect to laboratory) decay into two photons.
Calculate the energy of the photons emitted at a given angle to the flight
path.'' --all from Gabriel Barton 'Relativity Principle' (1999). For
Chess we can devise rough counterparts. (1) A Falcon sits on the board
centrally. How many moves are possible without re-crossing any of its paths
on 8x8? 8x10? (2) A Springer(N) is fixed at an opening position. How many
moves are maximally possible without crossing any of its paths on 8x8?
8x10? 10x10? [N.b.: these are not classic Tours, which permit
route-crossing.] (3) more Problems in follow-up