Rinlers were invented for instant lace up like you see also for instantaneous tightening and loosening.
For instance lace up you have to reduce friction. Let's take a pair of boots.
Replace black lace with yellow-black lace for visibility. Left boot laced by traditional Criss-Cross method. Right boot laced with Rinlers.
Let's check friction between lace and 12 eyelets.
Blue arrows show friction between lace and eyelet. Red arrows show friction between lace ends.
Let's see yellow lace friction near one eyelet named B. Pulling up lace along green arrow move point B along blue arrow and increase friction at the points B, D and E. Friction at the points D and E is kinetic friction between yellow and black lace ends. Friction at point B is kinetic friction between lace and eyelet B along red arrow. Formula for this friction is
Fk = μk * N
where μk = Kinetic Friction Coefficient,
N = Normal Force.
Normal Force is multiplication of pulling force and cosine of half ABC angle.
Let's check friction between lace and 12 eyelets and 6 Rinlers. There are no red arrows. There is only friction between lace and eyelets and between lace and Rinlers. No friction between lace ends.
Let's see yellow lace friction near one eyelet named B. Pulling up lace along green arrow move point B along blue arrow and increase friction at the points A, B and C. This friction is kinetic friction between lace and eyelet B and between lace and Rinlers A and C along red arrows. Formula for this frictions is
Fk = μk * N
where μk = Kinetic Friction Coefficient,
N = Normal Force.
Normal Force is multiplication of pulling force and cosine of half ABC angle.
You can see that on every eyelet cosine equal zero because angles ABC, BCD, CDE, DEF, AFG etc. became 180 degrees after pulling lace up.
On this motion you can check Rinlers method.
Actually there is shown lacing up in 0.8 sec. I suppose this is a World record!
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I'll be in touch for any kind of information, consultation, etc.