Kadon Enterprises, selected Hopscotch patterns

Selected Hopscotch patterns

All the figures shown below, and many more, are solvable with some or all of the polyhops tiles. From small, introductory figures to multiple copies of the same shape, challenges range from easy to extremely difficult. Hopscotch will definitely keep your mind hopping and invites your ingenuity in creating additional figures. Few things compare to the satisfaction when all the pieces fit.

Hopscotch symmetrical figures, medium

Hopscotch multiple copies, medium

Hopscotch figures, difficult symmetries

Hopscotch figures, large

Here's a solution to the last figure shown—the long wall that's a 4x21 parallelogram. The solution is not unique. We were aiming to separate the smaller pieces. Can you get them to cluster?

Hopscotch, solution of the long wall

Open question to the world:
Find 7 congruent figures, each 12 units in area, using the entire set. We've found two such shapes. Find another, or prove there are no others, and you'll win a nice prize.

And the answer!
Randy Ekl, puzzle solver After 7 years of hanging in unresolved limbo, this challenge was answered on January 2, 2019, by Randy Ekl, a game designer and software engineer from Illinois, who used both logic and a computer program to prove that the two shapes we had identified were, indeed, the only two possibilities. Here are the two shapes that you can make in 7 congruent copies each, using the entire set of Hopscotch pieces. No, we won't show you the full solution. We'll let you have the fun of working those out for yourself.

The two shapes of 7 congruent copies the Hopscotch set can form

Kudos, Randy! You're a winner.

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