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?

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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?

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