Same shape
Same body shape
The Same shape connection is one of the pokédex & data rules in the daily PokéWired Pokémon puzzle. Two Pokémon are linked by it when this holds: Same body shape.
It's not directional: it works both ways, so it doesn't matter which Pokémon goes on the left and which on the right. It belongs to the Hard rule set, so you'll only run into it in Hard puzzles.
Pokédex connections use the descriptive data behind every entry: colour, body shape, category, egg group, habitat, abilities and the Pokédex number itself.
Examples
Real Pokémon pairs that satisfy the same shape connection:
Venusaur#3Same shape
Raticate#20Same body shape (quadruped)
Charizard#6Same shape
Blastoise#9Same body shape (upright)
Blastoise#9Same shape
Raichu#26Same body shape (upright)
Butterfree#12Same shape
Beedrill#15Same body shape (bug wings)