story identification - Children's fantasy book where two boys enter a parallel world through the principal's office where math and poetry were magic

Read this as a kid in the early 80s.

Two boys in our world get in a fight at school, but when they enter the principal's office they are transported to a parallel world. As I recall, they had to work together to save that world by finding several magic items (one was a thread, I think?). And in that world math and poetry were magic?

Anyone remember this?

Answer

The Hero From Otherwhere by Jay Williams. 1973.

Two boys who are enemies at school find they must rely on each other when they are transported to a strange world parallel to the one on earth.

An example cover is shown below taken from Library Thing, click the link to see a couple of other ones.

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