Yes ! My wording isn't the best sorry. When I said : " My misunderstanding came from the fact I thought points where placed on each face's center" I forgot to say I also wrongly thought the terms faces and vertices were interchangeable in this scenario.

Thanks, that helps a ton ! My misunderstanding came from the fact I thought points where placed on each face's center, this is indeed very predictable behavior now that you've enlightened me 👍