For decades, partner dance has taught Lead/Follow as a kind of mysterious "Leader" does something and "Follower" does their best to respond to it.
âOne person gives the signal, and the other responds to it.â
all wrapped in:
It worked â mostly â because dancers developed intuition and touch over years of frustration and practice.
More accurately you only have a 25% chance of it working. Takes this fun example where for every step in any direction:
Result | Leader | Follower |
---|---|---|
Fail | gets it right | gets it wrong |
Fail | gets it wrong | gets it right |
Fail | gets it wrong | gets it wrong |
Success! | gets it right | gets it right |
It's ok, we've all been there.
But... wouldn't it be nice if there was something that's provable, easy to understand and works? (With no fluff and bs)
This model assumes:
Read about the Sheer Improbability of Synchronization
Thanks to math and physics we now know:
Lead/Follow is not a transmission-reception model.
It is a recursive, probabilistic, energy-aware negotiation of energy exchange and motion.
TL;DR: Weâve done the overthinking so you donât have to.
Leader instigates an action and then synchronizes with whatever the Follower does.
It's really easy. It eliminates push and pull. It's proven by math and physics.
It fixes the Sheer Improbability of Synchronization problem too!
Simple Proof: This applies to just about any Dance Position (DP) but we'll assume that Leader and Follower are in Closed Position.
Leader | Follower |
---|---|
Starts to move forward | Um, ok, I'll go backwards. |
Puts weight on moving foot | continues to move and it's all over |
Leader starts to move forward | moves backwards and puts weight on their moving foot |
continues to move forward | crashing into the Follower. |
The simple truth is that the Follower can't (and should NOT) predict what the Leader is going to do. It's a lot of work and aside from anything else Follower is supposed to be enjoying themselves.
The Leader simply doesn't know where the Follower will go because Follower doesn't know themselves.
But the Follower does tell the Leader where they are when they do it. In our single step example the Leader continues to move until they can feel Follower is no longer moving back (because they stop moving!) and at that point Leader puts weight on their moving foot.
Leader never, ever, ever puts weight on their foot before the Follower has put weight on theirs.
That of course is extended to:
Leader always synchronizes with what the Follower has just done
What other option does Leader have?
Something this radical, this simple and this easy should have proof!
[(Im)Probability of Synchronization]/inside-the-steps/probability/probability/improbability-of-synchronization/default.md) The chances of you synchronizing with your partner explained.
Schrödingerâs Follower:
The Follower exists in a 'superposition' of possible responses until their motion is observed.
Followers Movement Is In Control:
The Leader doesnât lead â they use the new reality of where the Follower is for their next action.
Least Action Principle:
The Followerâs response follows Maupertuisâ principle â they take their most energetically efficient (i.e. preferred) path, which might even be the one Leader was hoping for.
Matching Energy:
Matching Leaders and Followers energy is nearly impossible. Instead, Leader adapts to where the Follower actually is rather than where Leader thought they should go.
To quote the Wisdom of the Great Philosopher Jagger who teaches that "You can't always get what you want, But if you try sometime you'll find, You get what you need "
A curated list of foundational thinkers whose principles underlie the Unified Partner Motion Model in DanceBot.
PhilosophiĂŠ Naturalis Principia Mathematica (1687)
Core: Laws of motion, inertia, force = mass Ă acceleration
Influence: Motion intention, directional force clarity, inertia management
Mechanica (1736)
Core: Equations of motion, rotational dynamics, rigid body mechanics
Influence: Frame stability, rotational balance, angular momentum control
Accord de différentes lois de la nature qui avaient jusqu'ici paru incompatibles (1744)
Core: Principle of Least Action
Influence: The Followerâs motion collapse into energy-minimizing trajectories
Mécanique Analytique (1788)
Core: Lagrangian mechanics, generalized coordinates, reformulation of Newtonâs laws
Influence: The mathematical framework for least action in partner motion, used to model Follower collapse trajectories and joint motion under constraint
Schrödinger's Cat thought experiment (1935)
Core: Superposition and collapse
Influence: âSchrödingerâs Followerâ - motion doesnât exist until observed
Feynman Lectures on Physics (1964)
Core: Path integrals, probabilistic motion, energy transfer models
Influence: Dance as a series of energy negotiations, not fixed commands
On Governors (1868)
Core: Feedback and control loops
Influence: Early precursor to PID-style feedback in connection
Core: Dynamical systems, perturbation theory
Influence: Non-linear partner interaction, sensitivity to timing and small force errors
Cybernetics (1948)
Core: Feedback, systems regulation, input/output logic
Influence: Frame as a dynamic, mutually updating signal interface
A Mathematical Theory of Communication (1948)
Core: Signal/noise, transmission theory
Influence: Teaching translation - leading isnât âbroadcasting,â itâs low-latency signal encoding