Catalogue of Polyhops
Polyhop is Kate Jones's name for a plane figure
made by joining squares in a hopscotch grid.
Thomas Atkinson was the first to describe polyhops.
Here I show all the polyhops of orders 1 through 5.
Free polyhops may be reflected as well as rotated.
One-sided polyhops may be rotated but not reflected.
Polyhop pieces are available as a game,
Hopscotch,
from Kadon Enterprises.
Enumeration
| Order | Free | One-Sided |
|---|
| 1 | 1 | 1 |
| 2 | 2 | 3 |
| 3 | 5 | 7 |
| 4 | 16 | 28 |
| 5 | 55 | 99 |
| 6 | 225 | 433 |
| 7 | 949 | 1 852 |
| 8 | 4 269 | 8 463 |
| 9 | 19 500 | 38 798 |
Monohop
Dihops
Trihops
Tetrahops
Pentahops
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Col. George Sicherman
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