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Monochromatic Triangle Problem

價格:免費

更新日期:2018-02-24

檔案大小:277k

目前版本:1.0

版本需求:Android 2.2 以上版本

官方網站:https://sites.google.com/site/araadrija

Email:amitava.chakravarty@gmail.com

聯絡地址:KOLKATA INDIA amitava.chakravarty@gmail.com

Monochromatic Triangle Problem(圖1)-速報App

MONOCHROMATIC TRIANGLE PUZZLE !!!

Suppose 6 people are gathered together; then either 3 of them are mutually acquainted or 3 of them are mutually unacquainted.

Color an edge red if the people represented by its endpoints are acquainted, and green if they are not acquainted.

Any choice of 3 vertices defines a triangle; here, in this game we try to show that either there is a red triangle

Monochromatic Triangle Problem(圖2)-速報App

or a green triangle.

That is there must exist either a RED or a GREEN MONOCHROMATIC TRIANGLE.

This game is a simple case of the famous Ramsey Theorem.

The number 6 in this example is special i.e. with 5 or fewer vertices it is not true that there must be a monochromatic triangle, and with more than 6 vertices it is true.

Monochromatic Triangle Problem(圖3)-速報App

Vertices are numbered 0,1,2 etc.

First click on any vertex say v1 and then click on vertex v2, vertex v1 and v2 will be joined by a RED or GREEN line .

The game will be over when there will be a RED or GREEN monochromatic triangle.

This game is ABSOLUTELY FREE, has NO ADS or NO IN-APP PURCHASES.

Monochromatic Triangle Problem(圖4)-速報App

In case of any logical bug or misinformation, please email me.

Monochromatic Triangle Problem(圖5)-速報App