Proposer(s): Matt DiPalma
Proposed: 2014
Alt Names: Step 3 of Heise Method, Heise 3/4
Variants: LPELL, intuitive
No. Algs: 24 (simplified) / 72 (full)
Avg Moves: 9.305 (Speed-Optimal HTM)
Previous state: F2L-1 + EO cube state
Next state: L3C cube state

F2L-1 + EO cube state -> Speed-Heise step -> L3C cube state

The Speed-Heise step is the step between the F2L-1 + EO cube state and the L3C cube state.

Speed-Heise is an algorithm set developed by Matt DiPalma for use with methods that pre-orient the edges before the last slot (ZZ, Petrus, Heise). During the last F2L insertion, Speed-Heise solves all 4 LL-edges and 1 LL-corner. This leaves the cube in a state that can be solved with a single, intuitive commutator/conjugate, known as L3C cube state which can be finished with L3C step. The algorithm set is essentially an expansion of LPELL with a large boost in efficiency. There is also a 1/27 chance of skipping the Last Layer.

After finishing F2L-1+EO, the final pair is created in the U-layer and AUFed to the Front-Right, as in Winter Variation. Then, the permutation of LL edges is recognized, exactly as LPELL. Then, the sticker at DFR is identified and the destination of this sticker (12 possibilities, but 4 for the simplified case) is recognized. These two pieces of information are used to identify the Speed-Heise case, which will insert the pair, solve the LL edges, and correctly place the corner at DFR. Finally, the appropriate algorithm is executed, leaving the cube only a short, ergonomic sequence from solved.

The full version (72 algs) accommodates any orientation of the DFR corner. A simplified version only considers the 24 cases in which the DFR corner is oriented facing downwards. Both versions are included in the external links, below.

The movecount may be significantly reduced by intelligent algorithm selection, as discussed on the Complete Speed-Heise page, linked below.

External links