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In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to tile a 6x9 rectangle with one or more of the smaller ...
#3: Post edited
by
will.octagon.gibson
·
2026-09-11T16:12:08Z (6 days ago)
Added visual hint
- In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to [tile](https://en.wikipedia.org/wiki/Tessellation) a 6x9 rectangle with one or more of the smaller L’s and one or more of the larger L’s.
- You are allowed to rotate the L’s.
- 
- <details>
- <summary>Arithmetic hint. Click/tap here to reveal</summary>
- A 6x9 rectangle has total area of 54 unit squares.
- If X is the number of L’s made of 5 unit squares and
- If Y is the number of L’s made of 7 unit squares,
- Then 5X + 7Y must equal 54.
- </details>
<br>
- In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to [tile](https://en.wikipedia.org/wiki/Tessellation) a 6x9 rectangle with one or more of the smaller L’s and one or more of the larger L’s.
- You are allowed to rotate the L’s.
- 
- <details>
- <summary>Arithmetic hint. Click/tap here to reveal</summary>
- A 6x9 rectangle has total area of 54 unit squares.
- If X is the number of L’s made of 5 unit squares and
- If Y is the number of L’s made of 7 unit squares,
- Then 5X + 7Y must equal 54.
- </details>
- <br>
- <details>
- <summary>Visual hint. Click/tap here to reveal</summary>
- There is a symmetrical solution to this puzzle with an L-shaped piece placed as shown in the diagram below:
- 
- </details>
#2: Post edited
by
will.octagon.gibson
·
2026-06-27T18:37:28Z (3 months ago)
Added arithmetic hint
- In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to [tile](https://en.wikipedia.org/wiki/Tessellation) a 6x9 rectangle with one or more of the smaller L’s and one or more of the larger L’s.
- You are allowed to rotate the L’s.
- In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to [tile](https://en.wikipedia.org/wiki/Tessellation) a 6x9 rectangle with one or more of the smaller L’s and one or more of the larger L’s.
- You are allowed to rotate the L’s.
- 
- <details>
- <summary>Arithmetic hint. Click/tap here to reveal</summary>
- A 6x9 rectangle has total area of 54 unit squares.
- If X is the number of L’s made of 5 unit squares and
- If Y is the number of L’s made of 7 unit squares,
- Then 5X + 7Y must equal 54.
- </details>
- <br>
#1: Initial revision
by
will.octagon.gibson
·
2026-06-23T04:54:42Z (3 months ago)
Tiling a 6x9 rectangle using two types of L-shapes
In the diagram below, there are two types of L-shaped pieces (one made of 5 unit squares and the other made of 7 unit squares). The goal is to [tile](https://en.wikipedia.org/wiki/Tessellation) a 6x9 rectangle with one or more of the smaller L’s and one or more of the larger L’s. You are allowed to rotate the L’s. 