three dimensional 3d cutting board plans

He contended that for chess to be more like modern warfare, attack should be possible not only from a two-dimensional plane but also from above (aerial) and below (underwater). Raumschach įerdinand Maack (1861–1930) developed Raumschach (German for 'Space chess') in 1907. Less demanding on spatial vision, and hence more practical, are those games confined to three 8×8 boards and games with boards smaller than 8×8. The most popular 3‑D board amongst inventors, and at the same time the most mentally indigestible for the players. According to David Pritchard, this format is:

This format was later picked up by Maack in 1907 when developing Raumschach. He used an 8×8×8 board, labelling the third dimension with Greek letters alpha through theta. Lionel Kieseritzky (1806–1853) developed Kubikschach (German for 'Cube chess') in 1851. To describe an individual as 'playing three-dimensional chess' implies a higher-order understanding and mastery of the system beyond the comprehension of their peers or ordinary observers, who are implied to be 'playing' regular chess. 'Three-dimensional chess' is used colloquially to describe complex, dynamic systems with many competing entities and interests, including politics, diplomacy and warfare. Chapter 11 covers variants using multiple boards normally set side by side which can also be considered to add an extra dimension to chess. Chapter 25 of David Pritchard's The Classified Encyclopedia of Chess Variants discusses some 50 such variations extending chess to three dimensions as well as a handful of higher-dimensional variants. Three-dimensional variants have existed since at least the late 19th century, one of the oldest being Raumschach (German for 'Space chess'), invented in 1907 by Ferdinand Maack and considered the classic 3‑D game.

Three-dimensional chess has often appeared in science fiction-the Star Trek franchise in particular-contributing to the game's familiarity. In practice, this is usually achieved by boards representing different layers being laid out next to each other. Three-dimensional chess (or 3‑D chess) is any chess variant that replaces the two-dimensional board with a three-dimensional array of cells between which the pieces can move. Variants of chess with multiple boards at different levels Kubikschach 8×8×8 gamespace

Three dimensional 3d cutting board plans