Castle Pi

Castle Pi
Found by	David_s
City
State	Delaware
Country	United States
Continent	North America
Posted on	Dec 2, 2005
Map Location	39° 42' 59" N, 75° 34' 58" W
Numbers	896, 273, 141, 95, 202, 141, 5, 1, 7, 9, 13, 3, 5, 5
Type	Constant
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David Slauenwhite brings his 6th state to Road Sign Math, with the help of Delaware is a very small state, but it's first sign is massive! This sign sets a new record for the most numbers on any sign assemblage with 14 (beating Woodstock's 12). It's also a pi sign with amazing accuracy!

Mr. Slauenwhite was tantalized by the 896 divided by 273. This gave 3.282 and left him 12 numbers to work with. It is worth noting that Slauenwhite has introduced a new strategy for deriving constants. All previous constants were done with one operation, typically one number over another yielding an acceptable approximation of the constant. In this sign, he gets a number close to the value, and then homes in on it using very amounts to nudge the output where he wants it. Briliant! The math here practically requires a computer to work out, let's get to it.

${896\over273}-{{141-95}\over{202+141}}-{{5+1}\over{7\times9\times13}}+{3\over{5^5}} \approx 3.141574 \approx \pi$

This sign is on southbound I-95 in Delaware, where I-295 splits off.