we can represent anything as a mathmatical equation or formula, that supercedes language barries , lets get to work
here is my dilema
i am trying to find the amount of possible positions two identicle objects can have while touching, expressed in a mathmatical equation
without knowing the unit of measuremant how can this be expressed in an equation
i am hoping to solve this basic aspect in the next 15 minites then move on to the next step and the next and so on, finding equations to represent 3 and 4 symetrical identical objects ( lets use spheres)
i am feeling there wont be just one equation to to represent the two spheres, but quite possibly it may just be one equation, it will need some variables and some abstract elements to it, but it should make sense, it is possible, to represent anything mathmatically correct?
if we use the best logic possible i feel we will start to find some peculiar patterns after we chart out enough spheres, something like the golden ratio or something
now if you give me the equation for two identicle spheres
lets compare 3 identicle spheres, what equation can represent all the possible positions that three identicle symetrical spheres can touch each other
before you give up, i will have other aspects to add to dicover all the possible relations of 2, 3-dimensional objects, and then 3 and 4 and so on,
FOR THOSE WHO HATE READING MY LONG POSTS, I BASICALLY JUST WANT AN EQUATION OR FORMULA TO REPRESENT ALL THE POSSIBLE POSITIONS OF 2 OF THE SAME 3-D OBJECTS WHILE TOUCHING, THEY MUST TOUCH, AND IF YOU CAN DO THIS GIVE ME AN EQUATION FOR 3 OBJECTS
Señor Falcon:
When the two spheres touch they have a small part of their respective surfaces come in contact. Like when two pool balls collide - a small surface area on one ball collides with a small surface area on the other ball.
So in your example if the balls are assumed to be the same size:
Surface area of ball/area of contact = number of potential contact points per ball.
Each contact point on one ball can contact every contact point on the other ball.
So....if the total surface area of the cue ball is 300 and the contact area is 1, then spot #1 on the cue ball can strike 300 different spots on the eight ball. Spot #2 on the cue ball can strike 300 different spots on the eight ball and so on.....or in essence 300 X 300 locations!
So the total possible locations is....(total surface area of ball/area of contact)^2
No big deal Champ....
