Peg Solitaire English Style (Standard) 33-Hole Board

This GeoGebra applet constructs the classic English standard 33-hole Peg Solitaire board. Using geometric commands such as Circle, Polygon, and Sequence, it accurately renders the cross-shaped board and the positions of all 33 holes. This model demonstrates the application of geometric construction in board game design and serves as an interactive platform for logic reasoning and path planning, helping learners intuitively understand board states and game rules. Players can interactively click on pegs to move them by jumping over adjacent pegs into empty holes, following the traditional Peg Solitaire rules where the goal is to eliminate all but one peg. The applet allows students to explore strategies, trace possible solution sequences, and experience first-hand the combinatorial challenge inherent in the game. Through hands-on manipulation, learners develop skills in deductive reasoning, forward planning, and spatial visualization while engaging with a well-known recreational mathematics problem. The cross-shaped grid layout—composed of a central 3-by-3 square flanked by four 1-by-4 arms—provides a visually clear representation that reinforces concepts of symmetry, grid geometry, and discrete state spaces. Educators can use this tool in classroom settings to introduce topics from discrete mathematics, algorithmic thinking, and game theory, making abstract problem-solving approaches concrete and accessible. Whether used for self-exploration or guided instruction, this applet bridges the gap between playful interaction and rigorous mathematical reasoning.