Collisions of particles are needed for the building of a structure as well as for its destruction.

In the following the probability of collisions will be determined.

Considering the redshift we have to answer the following question later on: "How many steps Dl_Dn=1 of a particle are needed for a 3-particle collision?"

There are two conditions for a 3-particle collision:

1.) The three particles have determined directions aiming at the collision-point.

2.) The three particles have the same distance from the collision-point.

These however are also the conditions according to the definition of l:

Three particles have determined directions and the same three particles have determined distances to one another.

Such a l is also l_max. That l_max is found after a determined number of steps of Dl (Fig.12)

The number of these steps is:

The probability p_3er for a 3-particle-collision of one particle is consequently:

In this connection the destruction of a structure by a 3-particle-collision will be considered:

With the existance of a structure the direction of the particle of the structure is also fixed.

In order to destroy the structure, two "alien" particles have to collide with the structure-particle before the structure particles reach the collision point of the structure:

Conditions: An alien particle has a defined direction and a defined distance to the point of destruction and a second alien particle has also a defined direction and a defined distance to the point of destruction.

For three of such conditions it is:

(with p_particle1: the probability that direction and distance are correct for particle 1)

considering this, it shall be for the destruction:

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