Fano plane concept applied to lottery combinatorics

In summary, the Fano plane concept is a mathematical representation of a finite projective plane with seven points, lines, and intersections. It is used in lottery combinatorics to visualize and understand the different combinations and outcomes in a lottery game. However, it cannot be used to predict lottery numbers and has limitations in larger games.
  • #1
scalpmaster
35
0
I came across an interesting combinatorics optimisation description for 14numbers.
Maybe someone good in combinatorics can expand this fano plane concept to a full 45 numbers lottery design. Any suggestions?
http://en.wikipedia.org/wiki/Transylvania_lottery
 
Mathematics news on Phys.org
  • #2
Rephrasing the question,

(1) find a way to overlap different sets of 14 numbers to form 2 sets X 3combos =6numbers, without duplicating exactly any of 6numbers.

(2) Expand the link's limited 14numbers fano plane coverage from scretch to N, numbers.

Any ideas how to go about (1) or (2)?
 

FAQ: Fano plane concept applied to lottery combinatorics

What is the Fano plane concept?

The Fano plane concept is a mathematical concept that represents a finite projective plane with seven points, seven lines, and seven intersections. It is named after the Italian mathematician Gino Fano, who first described it in 1892.

How is the Fano plane concept applied to lottery combinatorics?

In lottery combinatorics, the Fano plane concept is used to represent the different combinations of numbers that can be chosen for a lottery game. Each point on the plane represents a unique combination of numbers, and the lines represent the different ways those numbers can be arranged. This helps to visualize and understand the possible outcomes of a lottery game.

Can the Fano plane concept be used to predict lottery numbers?

No, the Fano plane concept cannot be used to predict lottery numbers. It is simply a mathematical representation of the possible outcomes of a lottery game. Lottery numbers are drawn randomly, so there is no way to predict which combination will be chosen.

How does the Fano plane concept help in understanding lottery odds?

The Fano plane concept helps in understanding lottery odds by showing all the possible combinations of numbers and their corresponding probabilities. This allows players to see the likelihood of their chosen numbers being drawn and make informed decisions when playing the lottery.

Are there any limitations to using the Fano plane concept in lottery combinatorics?

Yes, there are limitations to using the Fano plane concept in lottery combinatorics. It can only represent a certain number of combinations depending on the size of the lottery game. For larger games with more numbers, other mathematical concepts may be more suitable for understanding the odds and outcomes.

Similar threads

Programs Which applied math phd program to apply to?
Replies
18
Views
6K
A Choices of Axiomatic and Number Systems / Sets and Alternatives
Replies
2
Views
1K
Applied and Computational Math (MS) @ RIT, Program Opinion
Replies
1
Views
2K
Does energy currency make sense?
Replies
4
Views
476
'Ant on a rubber rope' Wikipedia page
Replies
2
Views
2K
A Reviewing Spectral Imaging Techniques
Replies
1
Views
2K
Is Distributed Electric Propulsion the Key to Efficient Private Planes?
Replies
7
Views
1K
Programs Important classes for an applied math major?
Replies
4
Views
2K
I Black Hole Fire Walls, Brick Walls, and the Casimir Effect
Replies
6
Views
1K
I Is the Holographic Principle the Key to Understanding Our Universe?
2
Replies
40
Views
6K

Hot Threads

Recent Insights

Back
Top