Skip to main content

HOW TO 'ESCAPE' FROM A CLOSED ROOM?

     VISIT: 'MATH IN ACTION' SITE

  Put a coin in a plastic tray. Consider both as a two-dimensional object. The coin can move within the tray but cannot escape from it. Suppose you lift the coin from the tray, it escapes from the boundaries of the tray. That is, you have moved the coin into the third dimension, that is why it escaped.

     Now put a marble in a box. Both are 3D objects. You cannot move the marble outside the box without damaging the walls of the box. But, if you move the marble into the 4th dimension, the container walls cannot stop its movement(as in the coin and tray- case) and the marble will easily escape from the containment of the box. Similarly, one can escape from the jail, if be could move into the fourth dimension.

     Einstein said, that besides three dimensions(length, breadth, depth) the time can be considered as the fourth dimension. We are able to move back and forth along length or depth. Hence, it may be possible to move back and forth in the dimension of time. The time-travel may be possible in the future. We may be able to go into the future or back into historical times. Time in the fourth dimension gives such powers to us.


       Consider two linked rings as above. It is a 3D object. It can not be delinked without breaking it.

    But if you move one of the rings into the 4th dimension, it will be delinked without any force. It is magic but it is physics. We find it difficult to digest.

    We draw 3D-object as a 2D visual on a paper or on a screen. (imagine drawing sphere on a paper) .We imagine a 4D object as a 3D object and draw as 2D visual on a paper. Hence we cannot give a real justified view of a 4D object. 'Tesseract' is a 4-dimensional cube. See how it visualized on-screen on the internet.

    We have to wait more time to properly visualize 4D objects and experience the 4D world and go and meet our forefathers. 

Comments

  1. Get escape room info, covid news, curated reviews from major platforms, FAQs and more about Escape the Room in Atlanta, GA.

    visit here : Escape The Room

    ReplyDelete
  2. Escape The Room


    Get escape room info, covid news, curated reviews from major platforms, FAQs and more about Escape the Room in Atlanta, GA

    ReplyDelete

Post a Comment

Popular posts from this blog

LISSAJOUS FIGURES

  Definition:  "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures".      We know sine wave motion and circular motion is basically same.  Hence we draw two circles A and B perpendicular to each other.  The circle B rotates twice faster than circle A.  That is, frequency of circle B is two times than that of A.        A particle at the intersection of two circles is subjected to two sine wave motion   A and B at 90 degree simultaneously.  The particle will describe figures depending on the frequency and phase of A and B .  In our case, the ratio of frequency is  1:2 and the two waves are in phase.        To draw lissajous figures :  A moving point in both the circles are chosen.   Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two.  Hence the points are marked on the circles according to their speed.  Then straight lines

THE PARABOLA

          A jet of water shooting from a hose pipe will follow a parabolic path.  What is the so special about parabola.    Y= x^2 Draw a graph for the above equation.  It will result in a parabola.  This parabola is also called unit parabola.  Any equation involving square will yield a parabola. Example:  Y = 2x^2 +3x+3 (also called quadratic equation)    X= 2 and -2, both  satisfies the equation 4 = X^2.  Parabolic equations always have two solutions.     Any motion taking place freely under gravity follows parabolic path. Examples:   An object dropped from a moving train,   A bomb dropped from flying plane,  A ball kicked upwards.      If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point.  This fact is made use of in Dish Antenna, Telescope mirrors, etc.      Inverted parabola shape is used in the construction of buildings and bridges.  Because the shape is able to bear more weight.      A plane

CASINO'S GAME

           Let us find out how the casino survives with mathematics.      Say, your friend invite you for a game of dice.  You must bet (wager) 2 dollars.  If you roll 'six' you will get back 8 dollars.  The game will go on for 30 rounds.  All sounds good.      The probability of rolling 'six' is 1/6.  Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5.  That is, you are expected to win 5 rounds out of 30.  Hence your gain will be 5 * 8 =40 dollars.  ok.  This also implies that you will loose 25 rounds.  Hence your loss will be 25*2 =50 dollars.  Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars.  There will be a loss of -1/3 or 0.33 dollars per round.  It is not a fair game.     Let us make a simple formula to calculate  'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect