Horizontal last slot (HLS)

Niche

Since the 2010s

Insert a last pair that goes in with R U R' (or its mirror) and orient the whole last layer: 432 cases.

Group

One-handed picks

Train these

Print sheet

3C3E

SV 1

(U') R' D' Rw U2 Rw' D R

7 HTM · 12 algs

SV 1 (mirror)

(U) U2 F D B' R2 B D' F'

8 HTM · 7 algs

Source: Cubemuch, https://cubemuch.com/en/algs/3x3/hls/, retrieved 2026-10-29: case names and groups, and each case's algorithms: those credited to the community sheets it cites first, in its order, then those its search found, best-scored first (no votes or setups). Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.