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Shoelace Length Formulas
Shoelace Length Formulas

All of the underlying mathematical formulas from the Shoelace Length Calculator are shown here both in mathematical notation and in generic notation (coloured GREEN) compatible with spreadsheet software (like Microsoft Excel).

Angled Checker Lacing (each lace)

H+(V×4+√(H²+(V×3)²)×6)×(P−1)÷5+L×2

H+(V*4+SQRT(H*H+V*V*9)*6)*(P-1)/5+L*2

(Only applicable when number of eyelet pairs P = 6, 11, 16, 21, 26, etc.)

Army Lacing (same as Bow Tie Lacing)

Method 1 (Verticals at bottom, Shorter):

(H+V×INT(P÷2)+√(H²+V²)×INT((P−1)÷2)+L)×2

(H+V*INT(P/2)+SQRT(H*H+V*V)*INT((P-1)/2)+L)*2

Method 2 (Diagonals at bottom, Longer):

(H+V×INT((P−1)÷2)+√(H²+V²)×INT(P÷2)+L)×2

(H+V*INT((P-1)/2)+SQRT(H*H+V*V)*INT(P/2)+L)*2

(For odd numbers of eyelet pairs, both formulas work out the same)

Asterisk Lacing

(H×INT(P÷6+1)+√(H²+(V×2)²)×P÷3+L)×2+V×(P×4÷3−2)

(H*INT(P/6+1)+SQRT(H*H+V*V*4)*P/3+L)*2+V*(P*4/3-2)

(Only applicable for multiples of three eyelet pairs: P = 3, 6, 9, 12, etc.)

Bow Tie Lacing (same as Army Lacing)

Method 1 (Verticals at bottom, Shorter):

(H+V×INT(P÷2)+√(H²+V²)×INT((P−1)÷2)+L)×2

(H+V*INT(P/2)+SQRT(H*H+V*V)*INT((P-1)/2)+L)*2

Method 2 (Diagonals at bottom, Longer):

(H+V×INT((P−1)÷2)+√(H²+V²)×INT(P÷2)+L)×2

(H+V*INT((P-1)/2)+SQRT(H*H+V*V)*INT(P/2)+L)*2

(For odd numbers of eyelet pairs, both formulas work out the same)

Checkerboard Lacing

Lace 1 (Horizontal):

H×P+V×(P−1)+L×2

H*P+V*(P-1)+L*2

(Note that End Lengths can be much shorter than other methods)

Lace 2 (Vertical):

V×1.05×(P−1)×(Vertical Passes)+L×2

V*1.05*(P-1)*(Vertical Passes)+L*2

(This approximates 5% longer verticals to allow for weaving)

Corset Lacing

H×3+√(H²+V²)×(P−1)×2+L×4

H*3+SQRT(H*H+V*V)*(P-1)*2+L*4

Criss Cross Lacing

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Display Shoe Lacing (same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Double Lacing

Lace 1 (Bottom, Longer):

(H+√(H²+(V×2)²)×INT((P−1)÷2)+L)×2

(H+SQRT(H*H+V*V*4)*INT((P-1)/2)+L)*2

Lace 2 (Second, Shorter):

(H+√(H²+(V×2)²)×INT((P−2)÷2)+L)×2

(H+SQRT(H*H+V*V*4)*INT((P-2)/2)+L)*2

(For even numbers of eyelet pairs, both formulas work out the same)

Double Back Lacing

Method 1 (Verticals at bottom, Shorter):

(H+V+√(H²+(V×2)²)×(P−2)+L)×2

(H+V+SQRT(H*H+V*V*4)*(P-2)+L)*2

Method 2 (Diagonals at bottom, Longer):

(H+√(H²+V²)+√(H²+(V×2)²)×(P−2)+L)*2

(H+SQRT(H*H+V*V)+SQRT(H*H+V*V*4)*(P-2)+L)*2

Double Cross Lacing

Method 1 (Even number of eyelet pairs, Skip eyelets near ends, Shorter):

(H+L)×2+√(H²+V²)×(P−4)+√(H²+(V×3)²)×(P−2)

(H+L)*2+SQRT(H*H+V*V)*(P-4)+SQRT(H*H+V*V*9)*(P-2)

Method 2 (Even number of eyelet pairs, Use all eyelets, Longer):

(H+L)×2+√(H²+V²)×(P−2)+√(H²+(V×2)²)×4+√(H²+(V×3)²)×(P−4)

(H+L)*2+SQRT(H*H+V*V)*(P-2)+SQRT(H*H+V*V*4)*4+SQRT(H*H+V*V*9)*(P-4)

Method 3 (Odd number of eyelet pairs, Skip eyelets near one end):

(H+√(H²+(V×2)²)+L)×2+(√(H²+V²)+√(H²+(V×3)²))×(P−3)

(H+SQRT(H*H+V*V*4)+L)*2+(SQRT(H*H+V*V)+SQRT(H*H+V*V*9))*(P-3)

Double Helix Lacing (same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Double Sided Lacing (each lace, same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Footbag Lacing

Method 1 (Basic):

(H+V×5+√(H²+V²)×(P−4)+L)×2

(H+V*5+SQRT(H*H+V*V)*(P-4)+L)*2

Method 2 (Corkscrew):

(H+V×6+√(H²+V²)×(P−4)+L)×2

(H+V*6+SQRT(H*H+V*V)*(P-4)+L)*2

(Method 2 approximates 50% longer on 2 x verticals wrapped around edges)

Method 3 (Extended):

(H+V×8+√(H²+V²)×(P−5)+L)×2

(H+V*8+SQRT(H*H+V*V)*(P-5)+L)*2

Method 4 (Double extended):

(H+V×10+√(H²+V²)×(P−5)+L)×2

(H+V*10+SQRT(H*H+V*V)*(P-5)+L)*2

Gap Lacing

Method 1 (Single vertical):

(H+V+√(H²+V²)×(P−2)+L)×2

(H+V+SQRT(H*H+V*V)*(P-2)+L)*2

Method 2 (Double vertical):

(H+V×2+√(H²+V²)×(P−3)+L)×2

(H+V*2+SQRT(H*H+V*V)*(P-3)+L)*2

Half & Half / Criss Cross Lacing

Method 1 (Bi-color shoelace): (same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Method 2 (Knotted halves): (each half-shoelace)

H×1.5+√(H²+V²)×(P−1)+L

H*1.5+SQRT(H*H+V*V)*(P-1)+L

(These approximate a little extra length to allow for knots)

Method 3 (Separate halves): (each half-shoelace)

H+√(H²+V²)×(P−1)+L

H+SQRT(H*H+V*V)*(P-1)+L

(These approximate a little extra length to allow for knots)

Half & Half / Straight Bar Lacing

Method 1 (Bi-color shoelace): (same as Straight Bar Lacing)

H×P+(V×(P−1)+L)×2

H*P+(V*(P-1)+L)*2

(Only applicable for even numbers of eyelet pairs)

Method 2 (Knotted halves), Half-shoelace 1 (Bottom, Longer):

H×(P+2)÷2+V×P+L

H*(P+2)/2+V*P+L

(Only applicable for even numbers of eyelet pairs)

Method 2 (Knotted halves), Half-shoelace 2 (Second, Shorter):

H×P÷2+V×(P−1)+L

H*P/2+V*(P-1)+L

(Only applicable for even numbers of eyelet pairs)

Method 3 (Separate halves), Half-shoelace 1 (Bottom, Longer):

H×INT((P+2)÷2)+V×(P−0.5)+L

H*INT((P+2)/2)+V*(P-0.5)+L

Method 3 (Separate halves), Half-shoelace 2 (Second, Shorter):

H×INT((P+1)÷2)+V×(P−1.5)+L

H*INT((P+1)/2)+V*(P-1.5)+L

Hash Lacing

Method 1 (Even number of eyelet pairs, Skip eyelets near ends, Shorter):

(H+L)×2+V×(P−4)+√(H²+(V×3)²)×(P−2)

(H+L)*2+V*(P-4)+SQRT(H*H+V*V*9)*(P-2)

Method 2 (Even number of eyelet pairs, Use all eyelets, Longer):

(H+L)×2+V×(P−2)+√(H²+(V×2)²)×4+√(H²+(V×3)²)×(P−4)

(H+L)*2+V*(P-2)+SQRT(H*H+V*V*4)*4+SQRT(H*H+V*V*9)*(P-4)

Method 3 (Odd number of eyelet pairs, Skip eyelets near one end):

(H+√(H²+(V×2)²)+L)×2+(V+√(H²+(V×3)²))×(P−3)

(H+SQRT(H*H+V*V*4)+L)*2+(V+SQRT(H*H+V*V*9))*(P-3)

Hexagram Lacing

(H×(P+4)÷5+L)×2+(V+SQRT(H²+(V×3)²))×(P−1)÷5×4

(H*(P+4)/5+L)*2+(V+SQRT(H*H+V*V*9))*(P-1)/5*4

(Only applicable when number of eyelet pairs P = 6, 11, 16, 21, 26, etc.)

Hidden Knot Lacing (same as Straight Bar Lacing)

H×P+(V×(P−1)+L)×2

H*P+(V*(P-1)+L)*2

(Only applicable for even numbers of eyelet pairs)

Hiking / Biking Lacing (same as Straight Bar Lacing)

H×P+(V×(P−1)+L)×2

H*P+(V*(P-1)+L)*2

(Only applicable for even numbers of eyelet pairs)

Knotted Lacing

(H+√(H²+V²)×1.03×(P−1)+L)×2

(H+SQRT(H*H+V*V)*1.03*(P-1)+L)*2

(This approximates 3% longer diagonals to allow for knots)

Knotted Segment Lacing

(H+√(H²+V²)×(P−0.75)+L)×2

(H+SQRT(H*H+V*V)*(P-0.75)+L)*2

(This approximates 25% longer on two diagonals to allow for knot)

Ladder Lacing

Method 1 (No lock at top, Shorter):

((H+V)×(P−1)+L)×2

((H+V)*(P-1)+L)*2

Method 2 (With lock at top, Longer):

((H+V)×P−V+L)×2

((H+V)*P-V+L)*2

Lattice Lacing

Method 1 (Single verticals, Shorter):

(H+L)×2+(V×4+√(H²+(V×3)²)×6)×(P−1)÷5

(H+L)*2+(V*4+SQRT(H*H+V*V*9)*6)*(P-1)/5

Method 2 (Double verticals, Longer):

(H+L)×2+(V×8+√(H²+(V×3)²)×6)×(P−1)÷5

(H+L)*2+(V*8+SQRT(H*H+V*V*9)*6)*(P-1)/5

(Only applicable when number of eyelet pairs P = 6, 11, 16, 21, 26, etc.)

Left Right Lacing (same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Lightning Lacing

H×(2−(P MODULO 2))+√(H²+V²)×(P−1)+√(H²+(V×(P−1))²)+(V×INT((P−1)÷2)+L)×2

H*(2-MOD(P,2))+SQRT(H*H+V*V)*(P-1)+SQRT(H*H+(V*(P-1))*(V*(P-1)))+(V*INT((P-1)/2)+L)*2

Lock Lacing

Method 1 (High lock, Shorter):

(H+V+√(H²+V²)×(P−2)+√(H²+(V÷2)²)+L)×2

(H+V+SQRT(H*H+V*V)*(P-2)+SQRT(H*H+V*V/4)+L)*2

Method 2 (Low lock, Medium):

(H+V+√(H²+V²)×(P−3)+√(H²+(V×2)²)+√(H²+(V÷2)²)+L)×2

(H+V+SQRT(H*H+V*V)*(P-3)+SQRT(H*H+V*V*4)+SQRT(H*H+V*V/4)+L)*2

Method 3 (Looped lock, Longer):

H×4.1+(√(H²+V²)×(P−1)+L)×2

H*4.1+(SQRT(H*H+V*V)*(P-1)+L)*2

(This approximates 5% longer on two horizontals to allow for loops)

Loop Back Lacing

(H+√(H²+V²)×1.05×(P−1)+L)×2

(H+SQRT(H*H+V*V)*1.05*(P-1)+L)*2

(This approximates 5% longer diagonals to allow for loop backs)

One Handed Lacing

H×P+√(H²+V²)×(P−1)+L×1.25

H*P+SQRT(H*H+V*V)*(P-1)+L*1.25

(This approximates the tied off end at 1/4 the length of the loose end)

Over Under Lacing (same as Criss Cross Lacing)

(H+√(H²+V²)×(P−1)+L)×2

(H+SQRT(H*H+V*V)*(P-1)+L)*2

Pentagram Lacing

Method 1 or 2 (Upright pentagrams, Longer):

H×3+V×(P−2)×4+(√(H²+(V×(P−3))²)+√((H÷2)²+(V×(P−2))²)+L)×2

H*3+V*(P-2)*4+(SQRT(H*H+V*(P-3)*V*(P-3))+SQRT(H*H/4+V*(P-2)*V*(P-2))+L)*2

Method 3 (Inverted pentagram, Shorter):

H×3+(V×(P−1)+√(H²+(V×(P−3))²)+√((H÷2)²+(V×(P−2))²)+L)×2

H*3+(V*(P-1)+SQRT(H*H+V*(P-3)*V*(P-3))+SQRT(H*H/4+V*(P-2)*V*(P-2))+L)*2

Riding Boot Lacing (same as Shoe Shop Lacing)

H×P+√(H²+V²)×(P−1)+√(H²+(V×(P−1))²)+L×2

H*P+SQRT(H*H+V*V)*(P-1)+SQRT(H*H+V*(P-1)*V*(P-1))+L*2

Roman Lacing

Shoes with 4, 10, 16, 22, etc. sets of eyelets:
Method 1 ("I" at bottom, Short):

(H×(P+2)+V×(P×5−8))÷3+(√(H²+V²)×(P−1)÷3+L)×2

(H*(P+2)+V*(P*5-8))/3+(SQRT(H*H+V*V)*(P-1)/3+L)*2

Shoes with 4, 10, 16, 22, etc. sets of eyelets:
Method 2 ("X" at bottom, Long):

(H×(P+2)+V×(P×5−2))÷3+(√(H²+V²)×(P−1)÷3+L)×2

(H*(P+2)+V*(P*5-2))/3+(SQRT(H*H+V*V)*(P-1)/3+L)*2

Shoes with 8, 14, 20, 26, etc. sets of eyelets:
Method 1 ("I" at bottom, Short):

(H×(P+4)+V×(P×5−4))÷3+(√(H²+V²)×(P−2)÷3+L)×2

(H*(P+4)+V*(P*5-4))/3+(SQRT(H*H+V*V)*(P-2)/3+L)*2

Shoes with 8, 14, 20, 26, etc. sets of eyelets:
Method 2 ("X" at bottom, Ends tied at side, Medium):

(H×(P−2)+V×(P×5−4))÷3+(√(H²+V²)×(P+1)÷3+L)×2

(H*(P-2)+V*(P*5-4))/3+(SQRT(H*H+V*V)*(P+1)/3+L)*2

Shoes with 8, 14, 20, 26, etc. sets of eyelets:
Method 3 ("X" at bottom, Ends tied across top, Long):

(H×(P+4)+V×(P×5−10))÷3+(√(H²+V²)×(P+1)÷3+L)×2

(H*(P+4)+V*(P*5-10))/3+(SQRT(H*H+V*V)*(P+1)/3+L)*2

All other combinations:

(H×INT((P+5)÷6)+V×INT((P−1)×5÷6)+√(H²+V²)×INT((P+1)÷3)+L)×2

(H*INT((P+5)/6)+V*INT((P-1)*5/6)+SQRT(H*H+V*V)*INT((P+1)/3)+L)*2

Sawtooth Lacing

H×P+√(H²+(V×2)²)×(P−2)+(V+L)×2

H*P+SQRT(H*H+V*V*4)*(P-2)+(V+L)*2

Segmented Lacing

Lace 1 (Shorter segment):

(H+√(H²+V²)×INT((P−2)÷2)+L)×2

(H+SQRT(H*H+V*V)*INT((P-2)/2)+L)*2

Lace 2 (Longer segment):

(H+√(H²+V²)×INT((P−1)÷2)+L)×2

(H+SQRT(H*H+V*V)*INT((P-1)/2)+L)*2

(For even numbers of eyelet pairs, both formulas work out the same)

Shoe Shop Lacing

Method 1 (Long diagonal, Longer): (same as Riding Boot Lacing)

H×P+√(H²+V²)×(P−1)+√(H²+(V×(P−1))²)+L×2

H*P+SQRT(H*H+V*V)*(P-1)+SQRT(H*H+V*(P-1)*V*(P-1))+L*2

Method 2 (Long straight, Shorter):

(H+V)×P+√(H²+V²)×(P−2)+L×2

(H+V)*P+SQRT(H*H+V*V)*(P-2)+L*2

Spider Web Lacing

(H+(V+√(H²+(V×2)²))×(P−2)+L)×2

(H+(V+SQRT(H*H+V*V*4))*(P-2)+L)*2

Starburst Lacing

(H+V×INT(P÷2)+L)×2 ...
... +√(H²+(V×2)²)×2 (for 3 or more eyelet pairs) ...
... +√(H²+(V×4)²)×2 (for 5 or more eyelet pairs) ...
... +√(H²+(V×6)²)×2 (for 7 or more eyelet pairs) ...
... +√(H²+(V×8)²)×2 (for 9 or more eyelet pairs) ... (etc.)

(H+V*INT(P/2)+L)*2 ...
... +SQRT(H*H+V*V*2*2)*2 (for 3 or more eyelet pairs) ...
... +SQRT(H*H+V*V*4*4)*2 (for 5 or more eyelet pairs) ...
... +SQRT(H*H+V*V*6*6)*2 (for 7 or more eyelet pairs) ...
... +SQRT(H*H+V*V*8*8)*2 (for 9 or more eyelet pairs) ... (etc.)

Straight Bar Lacing

H×P+(V×(P−1)+L)×2

H*P+(V*(P-1)+L)*2

(Only applicable for even numbers of eyelet pairs)

Straight Easy Lacing (same as Straight Bar Lacing)

H×P+(V×(P−1)+L)×2

H*P+(V*(P-1)+L)*2

(Only applicable for even numbers of eyelet pairs)

Straight European Lacing

H×P+(√(H²+V²)+L)×2+√(H²+(V×2)²)×(P−2)

H*P+(SQRT(H*H+V*V)+L)*2+SQRT(H*H+V*V*4)*(P-2)

Supernova Lacing

(H+L)×2 ...
... +√(H²+(V×1)²)×2 (for 2 or more eyelet pairs) ...
... +√(H²+(V×2)²)×2 (for 3 or more eyelet pairs) ...
... +√(H²+(V×3)²)×2 (for 4 or more eyelet pairs) ...
... +√(H²+(V×4)²)×2 (for 5 or more eyelet pairs) ... (etc.)

(H+L)*2 ...
... +SQRT(H*H+V*V*1*1)*2 (for 2 or more eyelet pairs) ...
... +SQRT(H*H+V*V*2*2)*2 (for 3 or more eyelet pairs) ...
... +SQRT(H*H+V*V*3*3)*2 (for 4 or more eyelet pairs) ...
... +SQRT(H*H+V*V*4*4)*2 (for 5 or more eyelet pairs) ... (etc.)

Train Track Lacing

((H+V)×(P−1)+L)×2

((H+V)*(P-1)+L)*2

Twistie Lacing

(H+√(H²+V²)×1.07×(P−1)+L)×2

(H+SQRT(H*H+V*V)*1.07*(P-1)+L)*2

(This approximates 7% longer diagonals to allow for twists)

Zig Zag Lacing

(H+L)×2+(V+√((H×2)²+V²))×(P−1)

(H+L)*2+(V+SQRT(H*H*4+V*V))*(P-1)

Zipper Lacing

H×(P+1)+√(H²+(V×2)²)×(P−1)+L×2

H*(P+1)+SQRT(H*H+V*V*4)*(P-1)+L*2

(This approximates diagonals at half the horizontal spacing)

Lug Bow Tie Lacing

Method 1 (Verticals at bottom, Shorter):

(H+V×INT(P÷2)+W×INT((P+1)÷2)+√(H²+(V−W)²)×INT((P−1)÷2)+L)×2

(H+V*INT(P/2)+W*INT((P+1)/2)+SQRT(H*H+(V-W)*(V-W))*INT((P-1)/2)+L)*2

Method 2 (Diagonals at bottom, Longer):

(H+V×INT((P−1)÷2)+W×INT(P÷2+1)+√(H²+(V−W)²)×INT(P÷2)+L)×2

(H+V*INT((P-1)/2)+W*INT(P/2+1)+SQRT(H*H+(V-W)*(V-W))*INT(P/2)+L)*2

(For odd numbers of lug pairs, both formulas work out the same)

Lug Criss Cross Lacing

(H+W×P+√(H²+(V−W)²)×(P−1)+L)×2

(H+W*P+SQRT(H*H+(V-W)*(V-W))*(P-1)+L)*2

Lug Double Lacing

Lace 1 (Bottom, Longer):

(H+W×INT((P+1)÷2)+√(H²+(V×2−W)²)×INT((P−1)÷2)+L)×2

(H+W*INT((P+1)/2)+SQRT(H*H+(V*2-W)*(V*2-W))*INT((P-1)/2)+L)*2<

Lace 2 (Second, Shorter):

(H+W×INT(P÷2)+√(H²+(V×2−W)²)×INT((P−2)÷2)+L)×2

(H+W*INT(P/2)+SQRT(H*H+(V*2-W)*(V*2-W))*INT((P-2)/2)+L)*2

(For even numbers of lug pairs, both formulas work out the same)

Lug Double Back Lacing

(H+W×P+√(H²+V²)+√(H²+(V×2−W)²)×(P−2)+L)×2

(H+W*P+SQRT(H*H+V*V)+SQRT(H*H+(V*2-W)*(V*2-W))*(P-2)+L)*2

Lug Hash Lacing

(H+W×P+√(H²+(V+W)²)×(P−1)+L)×2

(H+W*P+SQRT(H*H+(V+W)*(V+W))*(P-1)+L)*2

Lug Hexagram Lacing

(H×(P+3)+W×(P×3+1))÷2+√(H²+(V×2)²)×(P−1)+L×2

(H*(P+3)+W*(P*3+1))/2+SQRT(H*H+V*V*4)*(P-1)+L*2

(Only applicable when number of lug pairs P = 5, 9, 13, 17, 21, etc.)

Lug Hiking / Biking Lacing

(H+V+W×(P−1)+√(H²+(V−W)²)×(P−2)+L)×2

(H+V+W*(P-1)+SQRT(H*H+(V-W)*(V-W))*(P-2)+L)*2

Lug Infinity Lacing

(H+V×(P−1)+W×(P+1)+√(H²+W²)×P+L)×2

(H+V*(P-1)+W*(P+1)+SQRT(H*H+W*W)*P+L)*2

Lug Knotted Lacing

(H+W×P+√(H²+(V−W)²)×1.03×(P−1)+L)×2

(H+W*P+SQRT(H*H+(V-W)*(V-W))*1.03*(P-1)+L)*2

(This approximates 3% longer diagonals to allow for knots)

Lug Knotted Segment Lacing

(H+W×P+√(H²+(V−W)²)×(P−0.75)+L)×2

(H+W*P+SQRT(H*H+(V-W)*(V-W))*(P-0.75)+L)*2

(This approximates 25% longer on two diagonals to allow for knot)

Lug Ladder Lacing

Method 1 (No lock at top, Shorter):

(H+(V+W)×(P−1)+√(H²+W²)×(P−2)+L)×2

(H+(V+W)*(P-1)+SQRT(H*H+W*W)*(P-2)+L)*2

Method 2 (With lock at top, Longer):

(H+(V+W+√(H²+W²))×(P−1)+L)×2

(H+(V+W+SQRT(H*H+W*W))*(P-1)+L)*2

Lug Lattice Lacing

(H+W×P+(√(H²+(V+W)²)+√(H²+(V×2−W)²)×2)×INT((P−1)÷3)+L)×2

(H+W*P+(SQRT(H*H+(V+W)*(V+W))+SQRT(H*H+(V*2-W)*(V*2-W))*2)*INT((P-1)/3)+L)*2

Lug Lock Lacing

(H+V+W×(P−1)+√(H²+(V−W)²)×(P−2)+√(H²+((V+W)÷2)²)+L)×2

(H+V+W*(P-1)+SQRT(H*H+(V-W)*(V-W))*(P-2)+SQRT(H*H+(V+W)/2*(V+W)/2)+L)*2

Lug Loop Back Lacing

(H+W×P+√(H²+(V−W)²)×1.05×(P−1)+L)×2

(H+W*P+SQRT(H*H+(V-W)*(V-W))*1.05*(P-1)+L)*2

(This approximates 5% longer diagonals to allow for loop backs)

Lug Segmented Lacing

Lace 1 (Shorter segment):

(H+W×INT(P÷2)+√(H²+(V−W)²)×INT(P÷2−1)+L)×2

(H+W*INT(P/2)+SQRT(H*H+(V-W)*(V-W))*INT(P/2-1)+L)*2

Lace 2 (Longer segment):

(H+W×INT((P+1)÷2)+√(H²+(V−W)²)×INT((P−1)÷2)+L)×2

(H+W*INT((P+1)/2)+SQRT(H*H+(V-W)*(V-W))*INT((P-1)/2)+L)*2

(For even numbers of lug pairs, both formulas work out the same)

Lug Shoe Shop Lacing

(H+W×P+L)×2+√(H²+(V−W)²)×(P×2−3)+√(H²+(V×(P−1)−W)²)

(H+W*P+L)*2+SQRT(H*H+(V-W)*(V-W))*(P*2-3)+SQRT(H*H+(V*(P-1)-W)*(V*(P-1)-W))

Lug Spider Web Lacing

(H+(V+√(H×H+(V+V+W)×(V+V+W))×(P−2)+W×(P−1)+L)×2

(H+(V+SQRT(H*H+(V+V+W)*(V+V+W))*(P-2)+W*(P-1)+L)*2

Lug Twistie Lacing

(H+W×P+√(H²+(V−W)²)×1.07×(P−1)+L)×2

(H+W*P+SQRT(H*H+(V-W)*(V-W))*1.07*(P-1)+L)*2

(This approximates 7% longer diagonals to allow for twists)

Lug Zipper Lacing

((H+√(H²+(V+W)²)×(P−1))×1.03+W×P+L)×2

((H+SQRT(H*H+(V+W)*(V+W))*(P-1))*1.03+W*P+L)*2

(This approximates 3% longer segments to allow for knots)

These formulas are theoretically accurate, but in practice they will be out a little depending on the accuracy of any approximations, the diameter of the eyelets, depth of the eyelets, variations in distances between eyelets, thickness of the laces, elasticity of the laces, how tightly they are laced, how complex a knot is used, the curvature of the top of your foot, even the thickness of your socks!


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