Hyperopia

Hello! I really don’t use this site for much these days, but I’ve been dabbling in pen-and-paper puzzle design lately as a hobby, and I’ve made a few puzzles in a genre I’m calling Hyperopia. I highly doubt I’m the first person to come up with this genre, since it’s a fairly natural inversion of the more common genre Myopia (in fact, a quick search of Discord reveals that Eric Fox floated the idea of Hyperopia a while back, though never made any puzzles for it). Nevertheless, I’m pretty proud of the few puzzles I’ve made so far – they’re nothing special, but I think they solve relatively smoothly. I’ll update this post later with some proper images of the puzzles, but for now, here is the ruleset to the genre, followed by links to the four puzzles I have made so far.

Ruleset

Draw a single, non-intersecting loop that only consists of horizontal and vertical segments between the dots. The arrow clues indicate all the directions (up, down, left, and right) where the farthest loop segments are located when looking from that square.

From the point of view of an arrow clue, there will always exist at least one loop segment in the directions not indicated by the arrows. It is possible that there may not be any loop segments whatsoever in the directions indicated by an arrow clue. (‘Infinitely far’ is as far as one can get, after all!)

Puzzles

Hyperopia Example: Penpa, Kudamono

Hyperopia #01: Penpa, Kudamono

Hyperopia #02 (Even Rows/Columns): Penpa, Kudamono – Note that this puzzle has an additional constraint, in that in each row and each column, an even number of cells must be inside the loop.

Double Vision: Penpa (no Kudamono yet, sorry!) – This is a particularly odd variant. The rules are described in detail on Penpa, but essentially, each clue has exactly two arrows, one of which functions as a Hyperopia clue, with the other functioning as a Myopia clue (i.e., it indicates the nearest loop segment). It is up to the solver to determine which arrow is which.