H_n:

opposite pole to H_(7-n)

F_n:

opposite centersurface to F_(7-n)

[L_n]:

120° rotation of the hemisphere with H_n as pole, counterclockwise

(RH_n):

120° rotation of H_n only, counterclockwise

(RF_n):

180° rotation of F_n only

Wanted:

(H₄ÛH₆)(H₅ÛH₇)

Rotations:

[L₁][L₃][L₁]

Wanted:

(-RH₄)(-RH₁)(-RH₅)(RH₆)(RH₂)(RH₇)

Rotations:

[L₁][-L₂][L₁][-L₂]

Wanted:

(-RH₄)(-RH₆)(-RH₅)

Rotations:

[L₁][-L₂][L₁][-L₃][L₂][-L₁][L₃][-L₁]

Wanted:

(F₁ÞF₂ÞF₃ÞF₅ÞF₁)(F₄ÛF₆)

Rotations:

[L₃][L₂][L₁] [L₃][L₂][L₁] [L₃][L₂][L₁]

Wanted:

(RF₁)( RF₂)( RF₃)(RF₅)

Rotations:

Wanted:

(RH₄)(-RH₇)

Rotations:

[L₁][-L₂][L₁][-L₃][L₂][-L₁][L₃][-L₁]