You must upgrade your plane and look for different power-ups to make it fly further. You like sudoku?

Sim is a pencil-and-paper game that is played by two players. After your attempt at throwing the paper plane, you can also submit your result to the league board and compare your results with other members around the world. Aim of the game The …

An app including its source code in the visual multi-platform Catrobat programming language is available[4] for playing it against one's smartphone. Another Ramsey game similar to Sim and related to Ramsey number R(4,4)=18, which again cannot end in a tie, is played on 18 vertices and the 153 edges between them. An electronic version is available at: https://wideaperture.net/sim/, App for smartphones, including source code, https://en.wikipedia.org/w/index.php?title=Sim_(pencil_game)&oldid=980143394, Creative Commons Attribution-ShareAlike License, This page was last edited on 24 September 2020, at 21:10. Predict your opponent's next moves and let him make the first triangle.

A technical report[1] by Wolfgang Slany is available online, with many references to literature on Sim, going back to the game's introduction by Gustavus Simmons in 1969,[2] including proofs and estimates of the difficulty as well as computational complexity of Sim and other Ramsey games. In this game, you can make your own paper planes. A corresponding Ramsey game uses pencils of three colors. Lines can either be horizontal or vertical, NOT …

The Ramsey number R(3,3,3)=17 implies that any three-coloring of the complete graph on 17 vertices must contain a monochromatic triangle. Draw a grid of dots – it can be as large or as small as you want. Specifically, since the Ramsey number R(3,3)=6, any two-coloring of the complete graph on 6 vertices (K6) must contain a monochromatic triangle, and therefore is not a tied position. Download this simple and very lite strategic mathematical puzzle application.

Each dot is connected to every other dot by a line ('edge'). Finding perfect winning strategies for these variants is most likely out of reach.

Two players take turns coloring any uncolored lines. The two players must avoid to color a monochromatic tetrahedron (a three-dimensional pyramid with four triangular faces).

10 second timer feature is introduced which can be disabled at the beginning. Each player takes it in turns to draw 1 line between two adjacent dots.

This will also apply to any super-graph of K6. The first player who makes a triangle with their own color will LOSE the game.

A puzzle game from the creators of Sudoku. A self-improving Java applet including its source code is available[3] for online play against a computer program. Six dots ('vertices') are drawn. The first player forced to complete a triangle in their own colour loses the game.

You should definitely try this! One approach can have three players compete, while another would allow two players to alternately select any of the three colors to paint an edge of the graph, until a player loses by completing a monochromatic triangle. Kakuro, a logic-based puzzle. Sim is a pencil-and-paper game that is played by two players. Brain challenge adventure of the mind!

The game of Sim is one example of a Ramsey game. 10 by 10 dots. First draw a board consisting of six dots arranged in a hexagon, with each dot connected to every other dot by a line: The players take turns colouring an uncoloured line. Don’t forget to collect the stars too to score more points and earn …

Predict your opponent's next moves and let him make the first triangle. Sim Pen and Paper Game You need two different colors to play this two-player game, but we have included it here as it is so much fun. To play you need to make a square array of dots i.e. Ever played the SIM game in your school days?

Other Ramsey games are possible. The first player forced to complete a … One player colors in one color, and the other colors in another color, with each player trying to avoid the creation of a triangle made solely of their color (only triangles with the dots as corners count; intersections of lines are not relevant); the player who completes such a triangle loses immediately.

This app reminds you the games we played in the boring school hours. Two players alternately draw a line joining the dots on a hexagon with either blue or red color.

Ramsey theory can also be used to show that no game of Sim can end in a tie.

Handcrafted Chess Sudoku puzzles by YouTube's most popular Sudoku channel!

Draw six dots in a hexagon (a six-sided geometric … First draw a board consisting of six dots arranged in a hexagon, with each dot connected to every other dot by a line: The players take turns colouring an uncoloured line.

The larger the grid, the longer the game … By using our services, you agree to our use of cookies.

This was a game my brother and I played quite a bit on the back of the paper program at church services. The game cannot be a draw because there is no way to colour all the lines without creating at least one triangle.

Now have extra fun with single player mode, play with Device AI. Cookies help us deliver our services. Plays like Sudoku!

Two players alternately draw a line joining the dots on a hexagon with either blue or red color. For another proof that there must eventually be a triangle of either color, see the Theorem on friends and strangers. Computer search has verified that the second player can win Sim with perfect play, but finding a perfect strategy that humans can easily memorize is an open problem. Enjoy Calcudoku, a puzzle game testing your math and logic.

The result of your previous games are recorded which will make the game more competitive. For example, in the following game Blue plays first and wins after the fifth round because Red cannot play without completing a triangle: Blog • RSS Feed • About Pencil and Paper Games • Contact Us •. Players alternately join dots on a hexagon; the first player who competes a triangle in their own colour loses.

For instance, the players can be allowed to color more than one line during their turns.

Solve cross puzzles by logic & deduction!