demonstrations of complex behaviour
Posted: Sun Apr 08, 2001 9:22 pm
I tried to build a model of the complex choreography of all those people
walking to "middle points".
But... it doesnt work with the rule #1 :
"Chose A & B ; Walk to the middle point between A ans B ; then stop"
All points crash together.
Prooof : When every point stops, lets draw the smallest circle aroud them.
Two (or more) points are on the edge of the circle. So they cannot be -
mathematicaly - middle poionts of any AB line.
But... people are not points ! Poeple use rule #2, I presume :
"Chose A & B ; Walk so that you see A and B on the two sides of your vsion
angle + equal distance" (So, in the triangle ACB, AC = CB and angle ACB is
ca. 150° and not 180°)
This rule seems to imply that the system can work only if nb of people > 12.
Cordialement
Jean-Louis Cordonnier
36, rue Lavisse
66000 Perpignan (France)
33 4 68 63 87 04
From: "Jean-Louis Cordonnier" <jlcord@wanadoo.fr>
walking to "middle points".
But... it doesnt work with the rule #1 :
"Chose A & B ; Walk to the middle point between A ans B ; then stop"
All points crash together.
Prooof : When every point stops, lets draw the smallest circle aroud them.
Two (or more) points are on the edge of the circle. So they cannot be -
mathematicaly - middle poionts of any AB line.
But... people are not points ! Poeple use rule #2, I presume :
"Chose A & B ; Walk so that you see A and B on the two sides of your vsion
angle + equal distance" (So, in the triangle ACB, AC = CB and angle ACB is
ca. 150° and not 180°)
This rule seems to imply that the system can work only if nb of people > 12.
Cordialement
Jean-Louis Cordonnier
36, rue Lavisse
66000 Perpignan (France)
33 4 68 63 87 04
From: "Jean-Louis Cordonnier" <jlcord@wanadoo.fr>