If a domino is two squares joined at a common edge, then a hexomino is a similar plane figure comprising six squares. Since a cube has six square sides, it follows that certain hexominos can be folded into a cube. Here is one: Col 173
There are others, of course. So this puzzle has two(+) parts.
Count them.
Counting as a single hexomino all shapes that differ only by rotation
and/or reflection, sketch all the hexominos that will fold into a cube. How many are there?
Corral them.
Now fit them, without overlap, inside a rectangle or square. What is the smallest perimeter of that enclosure?
Extra credit: what is the smallest area of that enclosure?
Question
bonanova
If a domino is two squares joined at a common edge, then a hexomino is a similar plane figure comprising six squares. Since a cube has six square sides, it follows that certain hexominos can be folded into a cube. Here is one: Col 173
+----+----+----+
| |
+----+====+----+
=== =|= ==|
==== + ===+
=== =| ===|
==== + ===+
==== | ===|
=== =+----+
There are others, of course. So this puzzle has two(+) parts.
Counting as a single hexomino all shapes that differ only by rotation
and/or reflection, sketch all the hexominos that will fold into a cube.
How many are there?
Now fit them, without overlap, inside a rectangle or square.
What is the smallest perimeter of that enclosure?
Extra credit: what is the smallest area of that enclosure?
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