Is it a high sticking penalty?

[tobu]

A curious question, feel free to move it wherever it belongs.

Is it a high sticking penalty?

Player A plays with his stick above the shoulders and hits Player B's stick (also above shoulders). Player B's stick hits Player B's face as a result of the contact.

Should Player A get penalized?

IIHF RULE 143 – HIGH-STICKING
DEFINITION: A player who carries his stick or any part of it above the
height of his shoulders and who strikes an opponent with any part of it.
i.
A player who makes contact with an opponent with a high stick will
be assessed at least a minor penalty.

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[JackSlater]

Could be slashing depending on how hard Player A hits player B's stick, as contact with the other player isn't required for slashing.