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Incubator Q&A

Welcome to the staging ground for new communities! Each proposal has a description in the "Descriptions" category and a body of questions and answers in "Incubator Q&A". You can ask questions (and get answers, we hope!) right away, and start new proposals.

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Incubator Q&A Tiling a 6x9 rectangle using two types of L-shapes

I needed both clues to solve this, though in retrospect I should have been able to solve it with just the first clue. Spoiler I experimented with placements of the large piece along edges and...

posted 6d ago by Monica Cellio‭

Answer
#1: Initial revision by user avatar Monica Cellio‭ · 2026-09-11T20:50:29Z (6 days ago)
I needed both clues to solve this, though in retrospect I should have been able to solve it with just the first clue.

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<summary>Spoiler</summary>
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I experimented with placements of the large piece along edges and corners without success (that leaves the wrong size spaces to be filled along the rest of those edges), so I had already concluded that a large piece needed to not touch any edges. I failed to realize, though it is obvious in retrospect from the mathematical clue, that there must be exactly two large pieces (no other number allows all the space to be filled).

A "floating" placement of one large piece allows two of the smaller pieces to pad out a six-square side.  The additional clue that helped me was "symmetrical".

![solution](https://proposals.codidact.com/uploads/d04pfydndsi2vxvdb1uzohi6jstw)

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