Folding Paper Boxes

(Published on 1. March 2026, 16:59 by Kutsumi Hane)

Note:

A pentomino is a shape made of 5 unit cells, connected edge-to-edge.
There are exactly 12 distinct pentominoes. Among these, only the following 8 can be folded into an open cube (a cube missing one face):

Rules:

Latin Square

· Digits 1–6 appear exactly once in each row and each column.

Pentomino

· The grid contains six pentominoes, which do not overlap. The top-left cell of each pentomino is already given in the grid.

· For each pentomino, all digits are different.

· Each pentomino can be folded to form an open cube, and for the folded cube, the sums of digits on all opposite face pairs that exist must be 7.

Here you can solve the puzzle online: Solve on SudokuPad
The difficulty is probably 3 stars. I wish you joyful solving!

Solution code: Column 4

Last changed on on 2. March 2026, 18:11

Solved by kublai, SKORP17, Shuhua Milk, Franjo, luoji

Full list

Comments

on 2. March 2026, 18:09 by Kutsumi Hane
Editor's note: The title has been modified and does not affect any content in the main text.

Last changed on 2. March 2026, 10:51

on 2. March 2026, 09:44 by Franjo
Thank you very much for creating and sharing this interesting puzzle. Folding pentominoes is a nice twist.
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Response from Kutsumi Hane:
Thanks for your kind words! Really happy you enjoyed the puzzle!

Last changed on 2. March 2026, 08:53

on 1. March 2026, 19:52 by Mattisahuman
What is different about this puzzle? I know the lid of each cube isn't necessary to find now but isn't the logic all the same?
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Response from Kutsumi Hane:
It's the same puzzle. I thought the original rules were too complicated, so I rewrote a new version. The original one has been marked as [Obsolete].
Really happy you enjoyed the puzzle!

Difficulty:
Rating:	N/A
Solved:	5 times
Observed:	0 times
ID:	000RPF

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