Unlock the secrets to creating random mazes! Whether you're a game developer, an algorithm connoisseur, or simply in search of a new puzzle, you're about to level up. Learn algorithms to randomly generate mazes in a variety of shapes, sizes, and dimensions. Bend them into Moebius strips, fold them into cubes, and wrap them around spheres. Stretch them into other dimensions, squeeze them into arbitrary outlines, and tile them in a dizzying variety of ways. From twelve little algorithms, you'll discover a vast reservoir of ideas and inspiration. From video games to movies, mazes are ubiquitous. Explore a dozen algorithms for generating these puzzles randomly, from Binary Tree to Eller's, each copiously illustrated and accompanied by working implementations in Ruby. You'll learn their pros and cons, and how to choose the right one for the job. You'll start by learning six maze algorithms and transition from making mazes on paper to writing programs that generate and draw them. You'll be introduced to Dijkstra's algorithm and see how it can help solve, analyze, and visualize mazes. Part 2 shows you how to constrain your mazes to different shapes and outlines, such as text, circles, hex and triangle grids, and more. You'll learn techniques for culling dead-ends, and for making your passages weave over and under each other. Part 3 looks at six more algorithms, taking it all to the next level. You'll learn how to build your mazes in multiple dimensions, and even on curved surfaces. Through it all, you'll discover yourself brimming with ideas, the best medicine for programmer's block, burn-out, and the grayest of days. By the time you're done, you'll be energized and full of maze-related possibilities! What You Need: The example code requires version 2 of the Ruby programming language. Some examples depend on the ChunkyPNG library to generate PNG images, and one chapter uses POV-Ray version 3.7 to render 3D graphics.
Besides being fun, puzzles increase student involvement and can lead to higher scores on problem-solving tests. Each book in this series has over 175 activities divided into four categories: picture, word, number, and logic. The puzzles are for individual students; the games are designed for pairs. Teachers can use them as fill-in activities for early finishers, to spice up homework packets, or as part of a reward system or weekly challenge. Beware! These puzzles can be addictive!
MATH PLUS is a smart new workbook series that makes math fun to learn! Uniquely designed to help young learners experience enjoyable, real-world math interaction, MATH PLUS helps students master key math concepts that are important for success in school and in life. Appealing math-based activities and games, along with humorous stories and story questions that relate math to a child's everyday world-build successful math knowledge while making math fun to learn. In addition, grade-specific fact cards and a helpful glossary provide support and practice of critical math vocabulary and concepts.Designed to complement the READ series, each MATH PLUS grade level offers a Step In workbook with simpler math activities and stories and a Step Up workbook with activities and stories that invite a bit more reasoning. Both options are expertly developed to help young learners discover that MATH+ Fun = Math Success!