What's New - Timeline - Articles - Techniques - Catalog - Seminars - Links - Contact Us 

Deadly Dualities
Exploring Mathematical Probability &
Connecting the Lines of Combat
Copyright 2001 Pete Kautz

Part I

    There is a martial application to the concept of polar opposites, like the Western Twin Pillars of Mercy and Severity, the Eastern Yin and Yang, or the computer's binary code.  All actions in the martial arts may be viewed through this filter, which allows us to better understand the ever changing reality of combat in a simple mathematical way.

    Working in single attacks and defenses is the most basic form of learning.  As a beginner learns to cut along the segno, how to do the passing and gathering steps, the volts and so on they first learn these skills in isolation, but these all must be reintegrated into the overall performance package before they become useable in a contested (ie. fighting) situation.  These Duality drills then help to make the connection between all the basics and the way they are strung together in the flow of combat.

Six of the many Dualities

Attack
Defense
Right
Left
High
Low
Forehand
Backhand
Slash
Thrust
Standing
Moving

To create a technique string, you want to have between 1-6 movements.
(For our example we will select 3 movements)

Each Movement should contain 1-6 dualities (the more Dualities, the more descriptive)


Flip coins (heads/tails), roll dice (odd/even), or draw cards (red/black) to start.

For an example, if you were using only 1 Duality and drew 3 cards (to create a 3 move sequence),
And you got black / black / red,
It would create the following sequence:

Thrust
Thrust
Slash

    How you train the sequence is up to you.  How you slash or thrust is up to you, what you know, and what your style dictates. Only when we add more Dualities into the mix will we have more specific types of attacks. For now, hitting any kind of pell, a heavy-bag, or hanging tire is good.  Having a partner work with you using focus mitts is also good, but remember that the reason you work with a live person is to develop timing and reflexes - save your "Conan power-swings" for the pell!  The mitts are great for any kind of rapier and dagger work.  Always give the trainer a helmet and consider elbow and forearm protection as well.  Accidents happen, and a bag full of gear in the other room, unworn, will not help you.

As stated, the more Dualities you invoke, the more specific a technique becomes!
As an example, if you were using 4 Dualities, in a 3 Technique sequence, it might look like this:

Attack
Attack
Defend
Low
High
High
Forehand
Backhand
Forehand
Slash
Thrust
Slash

    Further, when doing the Duality drills with a partner, you could create a sequence as before, and as one of you does the sequence, the partner fills in "the other side" of the equation.
Your partner's mirror image form, that will match the one above, is thusly:

Defend
Defend
Attack
Low
High
High
Forehand
Backhand
Forehand
Slash
Thrust
Slash

If you can understand this "other side" to the actions, you can create dynamic two-man sets at will

Your understanding of kata may double as well!

How could you use these concepts in the study of forms you already know?

Create your OWN Dualities to Enhance What You Already Do!
Here are some examples to get you started - Think of more that can enhance what you do!

Cut
Back Cut
Evasion
Engagement
Kick
Punch

Part II
Randomization and Chaos at Work!

Now that we have established the basic ideas of duality and random patterning, let's look at more specific applications for training.

Cards as Random Elements

One simple method for training the Dualities involves cutting out a number of squares of cardboard (maybe 2"x2" or so) and writing one part of a Duality on each side (so one would say High on one side and Low on the other, etc.). Make one for each duality you are interested in using and place them all in a box large enough for them to shake around with a removable lid (like a shoe box or something).

To practice, simply shake up the box, see what you are told to do...then do it! Once you have this motion, then shake the box, create a new technique, and add this to your first one. You can develop all kinds of interesting technique chains to practice this way.

Dice as Random Elements

You can create random patterns for practice within a range of techniques most effectively by randomizing with dice. If you have all the "funny" dice, you can create charts with 4, 8, 10, 12, 20, or 30 items each! For the scope of sanity, we will stick to good ol' 6 sided dice for now. Using boxing for a technique sampling, we might select to make a chart with:

1
2
3
4
5
6
Jab
Cross
Lead Hook
Rear Hook
Lead Uppercut
Rear Uppercut

To use the chart, you simply roll a few times to make a combo. If you roll different colored dice then you can preselect an order based on color (ie. red, green, white).

If we wanted to apply the same kind of theory to kicking, perhaps we might select:

1
2
3
4
5
6
Lead Leg
Front Kick
Rear Leg
Front Kick
Lead Leg
Round Kick
Rear Leg
Round Kick
Lead Leg
Side Kick
Rear Leg
Spin Kick

Combining Dice and Coins

Now if we wanted to combine these charts, we could do so by the addition of a random element which will choose between them. To do this, just like in the I-Ching, we will use coins to give a basic heads / tails (+ / -) reading. If we wanted to create several moves at once, we could use different size coins (penny, nickel, dime) along with the different colored dice (so the penny and red die would be technique #1, the nickel and green die technique #2, the dime and white die would be technique #3)

Die Roll
Coin - Heads
Coin - Tails
1
Jab
Lead Leg Front Kick
2
Cross
Rear Leg Front Kick
3
Lead Hook
Lead Leg Round Kick
4
Rear Hook
Rear Leg Round Kick
5
Lead Uppercut
Lead Leg Side Kick
6
Rear Uppercut
Rear Leg Spin Kick

Additional Concepts in Rearrangement

The great conceptual thinker Ed Parker once wrote a simple formula regarding the importance of Rearrangement in the Kempo system. It was simply Kempo x Rearrangement = Infinity

If you have even a few basics (let's say 18, to give the nod to Shaolin) then Rearrangement means you can have 18! possibilities, or (18 x 17 x 16 x 15, etc.) specific combinations.

Let's explore the possibilities with 2 and 3 step combinations of just 2 things (we will call then A and B for the sake of clarity). There are only 4 possible 2 step combinations:

A - A
B - B
A - B
B - A
When we add a third step, with again 2 variables, we yield twice as many combos!
A - A - A
B - B - B
A -A - B
B - B - A
A - B - A
B - A - B
A - B - B
B - A - A

Apply these concepts to your art and find the secrets that were there all along!
Want more insights on these kinds of advanced mental concepts of combat?

Read Master at Arms James Keating's article on Progression Training


What's New - Timeline - Articles - Techniques - Catalog - Seminars - Links - Contact Us