What's the Name of That Book??? discussion

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The Towers of February
SOLVED: Children's/YA
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SOLVED. A German book about a boy who visits an unfamiliar region, ascends a mountain, finds a home near the top of the mountain, and befriends a girl living in the home. He eventually descends from the mountain and finds a riddle by the ocean shore. [s]
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This happens towards the very end of the book.


I think the boy lives visits this region marked by fog and mild, but adverse weather with his parents, but soon abandons them, climbing up a mountain in the fog.
He stumbles upon a home in the thick of the fog, and befriends a girl in the house.
After he descends from the mountain, the reader finds him at a shore, and somehow the word Moixa, an anagram for Axiom figures into the story.
I never found that book again, but I remember a warm comfortable feeling reading it.