The names are interchangeable :)
The Tower of Hanoi aka Tower of Brahma or Lucas' Tower was "invented" (in the west) by the french mathematician Edouard Lucas in 1883.
From Wikipedia:
The Tower of Hanoi is frequently used in psychological research on
problem solving. There also exists a variant of this task called Tower
of London for neuropsychological diagnosis and treatment of executive
functions. (...) The Tower of Hanoi is also used as a test by
neuropsychologists trying to evaluate frontal lobe deficits.
However, I agree with you: in psychological research we rarely refers to it as "Lucas Tower". It's much more frequent to call it Hanoi Task or Tower of Hanoi.
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