Why is the math behind finger landing on a certain square related to parity?

  • Thread starter Thread starter Qu3ry
  • Start date Start date
AI Thread Summary
The discussion centers on the concept of parity in relation to movement on a grid. It explains that starting from a specific square allows access to other squares in either even or odd moves, establishing a pattern. For instance, returning to the "Start" square requires an even number of moves, while an initial move is odd, making it impossible to land back on "Start" after one step. This understanding enables the elimination of certain squares, narrowing down possible landing options. The relationship between parity and movement significantly influences strategic decisions in the game.
Qu3ry
Messages
6
Reaction score
0
http://technology.todaysbigthing.com/2009/10/08

Can anyone prove that why your finger must be landed on that square?
 
Last edited by a moderator:
Mathematics news on Phys.org
It's a matter of "parity". Starting from a given square, you can reach some of the squares only in an even number of moves and the others only in an odd number of moves. For example, starting on the "Start" square you could only get back to it by an even number of moves. Since he requires you to make an odd number of moves first, he knows you cannot be on the "Start" square after the first step and so can remove that one. By forcing you to make an even or odd number of moves (the exact number is not relevant) he knows which squares he can remove and so reduces you possible moves.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Similar threads

I Can New Theorems Predict Incomplete 5x5 Magic Square Solutions?
2
Replies
68
Views
11K
B It works but why? (Matching experimental data to a random equation)
Replies
3
Views
1K
The Geometric Intuition behind the Area Formula B*H=Area
Replies
7
Views
2K
MHB Combinatorics problem : circle hopscotch
Replies
3
Views
3K
I In which sense(s) do square integrable functions go to zero at infinity?
Replies
2
Views
2K
B How does Einstein's equation work? Why do we need to square c?
Replies
18
Views
1K
I How to visualize the maths behind a formula?
Replies
7
Views
3K
I Problems involving combinatorics of lattice with certain symmetries
Replies
2
Views
1K
Parents' frustration with distance learning -- "Common Core Math Methods"
2
Replies
97
Views
15K
The square root yields only one value ?
Replies
24
Views
6K

Hot Threads

Recent Insights

Back
Top