Arashi concept Sankaku The Takezawa Triangle

The Takezawa Sankaku (Triangle) 竹澤三角

Abstract: We would like to present to you a tool developed by Takezawa Sensei and Thomas Spornberger von Giess. It is a tool for analysing threaths and  weaknesses, for eliminating risks (K-Factor jap. kikeninshi 危険因子) from the outside and inside of your company. The Takezawa Triangle is based upon the rule of 3 of survival strategies. It is no replacement for Risk Management, but gives you the possibility to identify potential risks and threats. As we will see, its use is not limited to companies, but it can be applied in a variety of fields, like Security, Disaster Prevention, and even Counterterrorism. It may also be used in Financial Services to protect your portfolio. There are no limits.

As  for companies, the Takezawa Sankaku is an ideal tool for those Enterprises who are on the way to implement Lean or have already completed the transformation. It is an analytical procedure to discover languished weaknesses and threats (K-Factor jap. kikeninshi 危険因子). In some aspects it is similar to a SWOT-Analysis, but it works different. We would like to describe the Takezawa Triangle as a “fractal” and “mathematical” tool, as it is based on the rule of 3.

The Rule of 3

The Rule of 3 originates from Survival Strategies. It is the Idea to be ready for all eventualities with the only goal to survive. A little example!

We all know how important water is for every form of life. Just after a few days without a proper water supply every organism will get into trouble, and will eventually die as a result. We modern and civilized Humans rely on the fact that there will always be drinking water flowing out of the faucet. But we should not take that for granted! Maybe you have experienced a situation where a waterpipe had been damaged and you where without water for some hours. Can be very annoying! Think about being covered with shower gel or wanting to cook a dish of pasta. The so called “Preppers”  and “Survivors” make provisions for situations like this. He uses the “Rule of 3″

  • Drinking Water from the pipe
  • Stored Drinking Water in bottles
  • Drinking Water from rivers and lakes (water treatment with chemicals and/or filters)

He has acces to drinking water in 3 different ways and locations. So if he is cut off from one location he has 2 other options left. So he has made shure that he will at least survive for some time. This is a very simple example. But the survival strategy goes much further than storing water or food on 3 different locations. 3 different places where to take shelter, 3 different escape routes, 3 different ways to light up a fire. If one doesn’t work or is not accessible, 2 options left! Obviously not every “Prepper” and “Survivor” goes that far, but think about it!

Takezawasankaku main The Takezawa Triangle

The Takezawa Triangle 竹澤三角

The Takezawa Triangle consists of 3 triangles, which represent the 3 different hedging possibilities (HP). Combined they represent the PROTECTION, framed by the big triangle, which represents the protection border. We will show you that the Takezawa Triangle can be used as an instrument to identify and minimizing risks in every field. Takezawa Sensei has developed a System, that visualizes the missing HPs (hedging possibilities) in the overall concept:

Takezawasankaku island main The Takezawa Triangle

Who might want to use our tool ?

In principle the Takezawa Triangle can be used by everyone. It is a tool that wants you to use your brain. It is used best when working in a team. This team should consist of people with different interests. Let’s build a team composed of a CEO, a designer, a chemist, a physicist, a biologist, an IT Expertor and even a drill seargent from special forces! Why that? They all think different, they all are experts in their resort. It is really important to hear the opinion from people that are not directly connected to your K-Factor. Because they may see or note things that you may not be able to see anymore. Because you have already a restricted view due to your specialization. Try it out, it really helps!

Our tool can even help Auditors to “rate” a company. We go a step further as some rating agencies do, because we analyse the problems, risks and threats that a company may face in the future. With eliminating (nearly) every risks, you have a groundsolid business.

Which are the Advantages of this Method?

The Takezawa triangle can be a useful addition to Lean management. You can use it as a standalone application, but in combination with Arashi Saisei Katei and the Toyota Production System you can make your company nearly anassailable. The realization should be in the long term, as it may be linked to some investments. The basic idea is to be prepared on possible threats today and in the future and to gain an advantage on your competitors.

How do you use the Takezawa Sankaku?

first of all it is necessary to define the actual state. This is possible trough the application of different methods and has to be adapted to every K-Factor. The K-Faktor is the threat or risk, against which you want to secure your company/project/mission (K-Factor 危険 因子 jap. Kikeninshi = 3 hedging possibilities). A very useful tool to recognize weaknesses or threats can be the SWOT-Analysis. So it will be much more easy to prepare yourself for the effort of the Takezawa Sankaku.

You need to define subject areas, which have to be secured. After determining them, create a list of all K-Factors:


The K-factors are combined in subject areas:

Takezawasankaku Themenbereiche EN The Takezawa Triangle


The Application:

If you have decided, what exactly you need to secure, please ask yourself (and the team) the following questions:

  1. 1) Is it possible to secure the K-Factor?
  2. 2) Which method can be used to secure the K-Factor?
  3. 3) Is this method realizable? Are there some alternatives?
  4. 4) What are the costs of the implementation?
  5. 5) How long will it take?
  6. 6) Do I gain or lose productivity/working process/project realization?   

You should analyse carefully!

Triangle red blue yellow The Takezawa Triangle




Blue          =    Secured   

Yellow    =    Work in Progress     

Red            =    No Hedge



Every single triangle represents a HP (hegding possibility). We use the colors Blue, Yellow and Red to define the actual state. The target must be to have only bluecolored HPs.

Actually we are working on a book with detailed explanations und many practical examples. We will also present to you another tool, the “Takezawa Pyramid”



Security Measures for a Nuclear Powerplant

The Takezawa Triangle as a Mission-Critical Disaster Prevention System

We wondered if such a catastophe like Fukushima could have been avoided if the right security measurements would have been applied. One of the biggest issues was the cooling of the reactor cores. The batteries can last for a certain amount of time, but not forever. Once the generators run out of fuel, only a very small amount of time is left to take countermeasures and avoid the ultimate MCA! Could our tool Takezawa Sankaku have been helpful in identifying the relevant K-Factors prior to the accident?

What was the biggest issue right after the Tsunami? POWER! So our first subject area will be:

Power Supply The Takezawa Triangle


What do you need electricity for? The biggest concern in a nuclear powerplant is the cooling system. And the cooling system needs electricity to be controlled and to continuously pump fresh and cold water into the reactor building. What is the main source for power? The POWER LINE! Which other sources that produce enough and conitnuous power to ensure cooling for at least a certain amount of time could there be? GENERATORS and BATTERIES.

Unfortunatley as we could see, these 3 power sources were not enough to prevent a disaster. Nobody expected such a heavy earthquake. But the earthquake itself was not Fukushimas problem. It was the Tsunami! The water destroyed big parts of the powerplant, leaving back many debris. The batteries fortunately worked. What can we learn from this situation? We have to ensure that such a power failure won’t happening in the future anymore!


Powerline1 The Takezawa Triangle3 POWER LINES

Therefore, we want to split the POWER LINE!

The main POWER LINE, coming from the West, 2 auxiliary power lines, at least ensuring power for the cooling system, one coming from the South, and one coming from the North! Even if 2 Power lines are damaged, we still have a third option left to ensure cooling until help arrives.

But for us, this is not enough!


generator The Takezawa Triangle


Actually, there are 3 types of generators that can produce enough and continuous power for a certain period. We would install 3 types of Generators: DIESEL, GASOLINE, FUEL CELL! Diesel can be found in every truck, gasoline can be pumped out (electrical or mechanical/manual) of cars. So if we are running out of the fuel, and help has not arrived yet, we could use this last possibility to extend the time generators are working. What about the fuel cell? It is a relatively new and expensive technology, and there are different types with different fuels. Some types are the DMFC direct methanol fuel cell (Methanol), the PEFC Polymer Electrolyte Fuel Cell (H2), the AFC Alkaline Fuel Cell (H2) and there exists even a FAFC Formic acid fuel cell (Formic Acid + O2). For our needs a H2 or Methanol type would suit best. H2 is difficult to store, but can be produced using Water and Electricity. Methanol is a type of Alcohol, even used as a fuel in Race Cars (Indy Car) and can be stored easily like gasoline or diesel.

3 generators The Takezawa Triangle3 DIFFERENT LOCATIONS

Now that we have defined 3 different types of generators, we need to find a location. Following the Rule of 3, we should have 3 Generators of each type. But where to locate them? The Main Generator has it’s place near to where he is needed. The auxiliary generator should be located in a place nearby. What about the third? As we are talking about a mission-critical disaster prevention system, we should ensure the third generator (and fuel) is stored in a anassailable location, such as a bunker on higher ground.

generator truck The Takezawa Triangle3 DIFFERENT TRANSPORT ROUTES

Ok, one of our generators will be stored in a bunker. But how can we make shure that the stored generator can be brought to the place where it is needed, if everything i covered with water or debris?

The most simple option we have is to put the generator on a Truck. If the street is unaccessible, we got a problem. In this case we could try tu use a Crane Truck to bring the generator to the desired location. If we got a problem because of flooding, we could use an amphibian vehicle instead.