12 Days of Caching: 11 Pipers Piping Mystery Cache
12 Days of Caching: 11 Pipers Piping
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11 Pipers Piping for the 11th Marines
This is the eleventh of thirteen caches celebrating the twelve days of a geocaching Christmas. Whether you find one or find all, each will be a challenge. For those who say “Bah! Humbug!” to Christmas, we've created “The Grinch”, because we’re a kinder, gentler geocaching group and we’re feeling all inclusive today.
We call ourselves the North County Cachers but we are forced to ignore about 200 square miles of prime North San Diego County geocaching territory, videlicet, Camp Pendleton. The Marine Corps has declined to allow geocachers access which is probably good for the health of geocachers. (Although we must admit that we did find a cache deep in the heart of Camp Pendleton’s Ysidora Basin on 20 July 2003 at GCD378.)
In any case, these 11 Pipers are piping for, and dedicated to, the 11th Marines. The 11th Marine Regiment (aka “The Cannon Cockers”) has made their home (when not deployed) at Camp Pendleton since World War II. They are the premier Artillery Regiment of the Marine Corps and have served in every significant action since World War I. The 11th Marines are proud to carry on the tradition which states that “Artillery lends dignity to what would otherwise be a vulgar brawl.” Within the geocaching community the 11th Marines have not received the recognition they deserve and this cache is an attempt to remedy that. From the cache location, if you look carefully, and if the weather conditions are just right, you will just barely be able to see Camp Pendleton.
This cache is not at the posted coordinates. Kindly perform the following simple 11-themed steps to lead you to the cache.
Take the 11th Lucas number and call it U.
Take the 11th Pell number and call it ee.
Take the smallest number that appears in its factorial 11 times and call it YYY.
Take the smallest number so that it and the next 11 numbers all have an even number of prime factors and call it vv.
Take the number of connected graphs with 11 edges and call it ZZZ.
Take the number of 11-ominoes that contain 1 hole and call it G.
Take the number of different score sequences of an 11-team round robin tournament and call it hh.
Convert 1111 in base 11 to base 10 and call it A.
Take the number of conjugacy classes in the automorphism group of the 11 dimensional hypercube and call it L.
Take the number of differential structures on the 11-dimensional hypersphere and call it F.
Take the number of prime knots with 11 crossings and call it yy.
Take the largest known multiplicative persistence and call it Z.
Take the number of simplicial polyhedra with 11 vertices and call it C.
Take the closest integer to 11 raised to the Pi power and call it ww.
Take the number of regions the complex plane is cut into by drawing lines between all pairs of 11th roots of unity and call it S.
Take the number of rooted ternary trees with 11 vertices and call it D.
Take the number of possible rook moves on an 11x11 chessboard and call it pp.
Take the maximum determinant of a binary 11x11 matrix and call it B.
Take the maximum number of 11th powers needed to sum to any number and call it ss.
Take the number of asymmetric trees with 11 vertices and call it J.
Take the number of ways to color the vertices of a square with 11 colors, up to rotation, and call it kk.
Take the number of 11-ominoes that tile the plane by translation and call it K.
Take the number of series-reduced planted trees with 11 leaves and call it aa.
Assume that the number of planar partitions of 11 is 859 and call it H.
Take the number of functional graphs on 11 vertices and call it cc.
Take a base 10 four-digit repdigit that is also a repunit and call it X.
Take the number of monic polynomials of degree 11 with integer coefficients whose complex roots are all in the unit disk and call it rr.
Take the number of quasi-triominoes that fit inside an 11x11 grid and call it qq.
Take the sum of the first 11 squares and call it Q.
Take the 11th Motzkin number and call it dd.
Take the number of inequivalent binary linear codes of length 11 and call it bb.
Take the maximum number of regions a circle can be cut into by joining 11 points on the circumference with straight lines and call it N.
Take the number of different arrangements of 11 non-attacking queens on an 11x11 chessboard and call it mm.
Take the number of 3×3 sliding puzzle positions that require exactly 11 moves to solve starting with the hole in a corner and call it R.
Take the smallest possible magic constant of a 3×3 magic square of distinct primes and call it Y.
Take the number of ways 11 people can line up so that only one person has a taller person in front of him and call it uu.
Take the first non-trivial number that is both 11-gonal and centered 11-gonal and call it M.
Take the number of degree 11 irreducible polynomials over GF(2) and call it W.
Take the number of ways to divide an 11x11 grid of points into two sets using a straight line and call it jj.
Take the number of trees with 11 vertices and call it T.
Take the pseudosquare modulo 11 and call it nn.
Take the number of rooted trees with 11 vertices and call it xx.
Take the number of 11-iamonds without holes and call it E.
Take the maximum value of n so that there exist 5 denominations of stamps so that every postage from 1 to n can be paid for with at most 11 stamps and call it zz.
Take the number of different resistances that can be created in a circuit of 11 equal resistors and call it ff.
Take the smallest non-trivial 11th power and call it tt.
Take the smallest number that cannot be written using 11 copies of 11 and the operations +, –, ×, and ÷ and call it P.
Take the smallest number whose cube has 11 digits and call it gg.
Assume the Northing and Westing coordinates you’re looking for are 33° and 117° respectively.
To find the rest of the Northing append the following to 33°
(B-D+F+H-K-M+yy+Q-S+U+X+Z-bb+dd+ff+hh-kk+nn-qq-ss+uu-ww-zz+ZZZ+L-30)
To find the rest of the Westing append the following to 117°
(C-A-E-G+J+L+N-P+R-T+W+Y-aa+cc-ee+gg+jj+mm+pp+rr+tt-vv+xx+YYY+103)
The coordinates seemed spotty so look for the benchmark and you’ll be getting close. Use the information you'll find there to determine exactly where the cache is. Then, when you get to the cache site, the container will be an ammo can.
Check your coordinates here: (visit link)
Additional Hints
(Decrypt)
Lbh’yy riraghnyyl svaq vg haqre n ohfu
Treasures
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