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General Tabletop Discussion
*Pathfinder & Starfinder
Simplified diagonal movement
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<blockquote data-quote="Asmor" data-source="post: 4053345" data-attributes="member: 1154"><p>I had an epiphany in the shower today...</p><p></p><p>The ratio of the distance between two diagonal spaces to the distance between two orthogonal spaces is √2 which is approximately 1.414.</p><p></p><p>1.5 is a decent approximation, but 1.4 is a significantly better approximation. 1.4 is even more difficult to add, though...</p><p></p><p>But what if we look at it as a fraction? 1.4/1=14/10=7/5</p><p></p><p>In other words, diagonal movement on a square grid is seven fifths the length of orthogonal movement! In other words, if a square is 5 feet, then moving diagonal is almost exactly 7 feet! The exact number is 7.07 feet.</p><p></p><p>That's so perfect that I can only assume that when the Flying Spaghetti Monster created space and time, he created it such that it would be convenient for tracking distance on a square grid with 5' squares.</p><p></p><p>Think about what that means. The system's not abstract anymore! If you make it 5 feet to move orthogonally and 7 feet to move diagonally, you're almost perfectly approximating the actual distance! So if your character has 30 feet of movement speed, they get to move 30 feet. Not 6 squares, not 12 mp, they move 30 feet.</p><p></p><p>Brilliant!</p></blockquote><p></p>
[QUOTE="Asmor, post: 4053345, member: 1154"] I had an epiphany in the shower today... The ratio of the distance between two diagonal spaces to the distance between two orthogonal spaces is √2 which is approximately 1.414. 1.5 is a decent approximation, but 1.4 is a significantly better approximation. 1.4 is even more difficult to add, though... But what if we look at it as a fraction? 1.4/1=14/10=7/5 In other words, diagonal movement on a square grid is seven fifths the length of orthogonal movement! In other words, if a square is 5 feet, then moving diagonal is almost exactly 7 feet! The exact number is 7.07 feet. That's so perfect that I can only assume that when the Flying Spaghetti Monster created space and time, he created it such that it would be convenient for tracking distance on a square grid with 5' squares. Think about what that means. The system's not abstract anymore! If you make it 5 feet to move orthogonally and 7 feet to move diagonally, you're almost perfectly approximating the actual distance! So if your character has 30 feet of movement speed, they get to move 30 feet. Not 6 squares, not 12 mp, they move 30 feet. Brilliant! [/QUOTE]
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Simplified diagonal movement
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