# Slitheɹlᴉuʞs

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These Slitherlinks are solved on a Möbius strip. Use the red and blue arrows to help you join the "front" and "back" together.

Dashed lines

After solving a Slitherlink, fold along the red and blue lines. The red lines are mountain folds and blue lines are valley folds. You should obtain a shape that looks similar to the recycling symbol.

done folding

On each folded Möbius strip, the Slitherlink paths on the front and back faces spell out characters. The orientation of each face is consistent and the order of in reading the characters per Möbius strip is consistent.

extraction, after MU FUNC OF LENGTH MOD 3

The mu function refers to the Möbius function which takes values in 0, 1, and -1. Apply the Möbius function to the length of each Slitherlink path and take the value modulo 3. For each group of Slitherlink variants, extract using ternary.

These Slitherlink variants have a twist or half.

For your printing convenience PDF copies of the "Front"s and "Back"s are provided.

Standard Slitherlink and Masyu rules. All possible black pearls are given.

"Front"

"Back"

"Front"

"Back"

"Front"

"Back"

Standard Slitherlink rules. Less than, greater than, and equal signs indicate inequality relations on the number of border segments of the corresponding cells.

"Front"

"Back"

"Front"

"Back"

"Front"

"Back"

Standard Slitherlink rules. Red numbers indicate the total number of border segments on the corresponding squares on both the "front" and "back".

"Front"

"Back"

"Front"

"Back"

"Front"

"Back"

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