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Simply Geometry #2: The Emerald Triangle Mystery Cache

Difficulty:
3 out of 5
Terrain:
3.5 out of 5

Size: Size:   small (small)

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Geocache Description:


The published coordinates for this cache are not the coordinates of the cache. They are instead the coordinates of the recommended parking location when you go to seek the cache. To get the coordinates for the cache, you will have to solve the puzzle below.

Poison Ivy Alert!
Kid Friendly Park
Curfew is 9 pm - 7 am
No Pets Allowed
Fee area $2/vehicle April to October
Bicycles permitted only on paved roads in Mohawk Park

Remember, Mohawk Park's gates open at 7 am and close at 9 pm! On weekends, April 1 - October 31, you'll need to bring $2/vehicle to enter Mohawk Park, unless you are a member of Friends of Oxley Nature Center or Zoo Friends. Pets are not allowed on the Nature Center trails, but leashed ones can enjoy other parts of Mohawk Park.

This cache was placed with the permission of the Tulsa Parks Department.
Tulsa Parks

In the northern region of the village known as Tulsa, in the territory of Oklahoma, occasionally there is an eerily glowing, emerald colored triangle marking out a path along the forest floor. Most likely, you have never seen it. Very few people have been so lucky.

The emerald triangle is a broad but focused beam of light, perhaps a foot in diameter, that maps out a path along the ground, connecting three precise locations on the surface of the earth. These locations are not too far apart from each other, and they are all located in the realm of a place known as Mohawk Park, not too far away from where you may be right now.

Searcher

Perhaps, if this triangle of light was larger in scope, zooming across several territories, perhaps then someone would have noticed the beam by now, in spite of its brief and sporadic appearance only once a year, and it would then be a well-known phenomenon. But this glowing triangle of light is small and local in scope, so it is our secret.

If you want to keep your reputation as a sane and rational individual, do not discuss with anyone else the existence of this wide beam of glowing green light in a nearby forest. Some secrets are best kept to yourself.

In any case, the glowing emerald beam is only visible at midnight on midsummer's eve, which is June 23 by our modern calendar. A few minutes before midnight, the beam begins to glow along its path through the forest, reaching peak intensity precisely at the stroke of midnight, and it slowly fades away a few minutes later. It does not appear every year, and the factors determining the appearance and disappearance of the triangle of light remain unknown.

The cause of this optical oddity is probably some sort of energy associated with the power of two marvelous geocaches with magic of their own. These two caches happen to be located at the exact same latitude, but at different longitude coordinates. Under the right conditions, this cache alignment along a latitude line results in mysterious forces that cannot be readily explained. Luckily for us, a common latitude for the corner caches may also simplify the task of identifying the coordinates for the mystery cache that we seek.

triangle

At the first corner of this strange triangle of light is the geocache known as "Red Bat Rendezvous". At the second corner is the geocache known as "1346 Muskrat View". The third location, which has not yet been precisely recorded, is where the mystery cache is located. The important thing to note is that all of these three locations are exactly the same distance from each other, forming an equilateral triangle, and the mystery cache is located in the region to the south of the other two caches.

To find the cache, you can wait for midsummer's eve on a year when the glowing emerald triangle appears, beaming gently along the floor of the dark and friendly forest, and make sure you are there to observe it. However, this doesn't happen every year, and there is no way to be sure. You may have to determine the location of this cache by a more clever means. Good luck in your quest.

Shamrock
Cache ID Cache Description Latitude Longitude
GC101G1 Red Bat Rendezvous N 36° 13.488' W 095° 54.295'
GCG6T0 1346 Muskrat View N 36° 13.488' W 095° 53.805'

Simplifying Assumptions for Mystery Cache Seekers

  • Assume that all three caches are located on a flat plane, at the same elevation.
  • Assume that the curvature of the earth is not a factor.
  • Assume that there are exactly 69.1691 miles per degree of latitude.
  • Assume that there are 55.9588 miles per degree of longitude (Tulsa area only).

You can check your coordinates on geochecker.com . This will let you know if your solution is within 25 feet of the cache.

To get to the cache, you might be tempted to swim across the small river. Swimming is against the law in the land of Mohawk Park. It is said that the last person who tried to swim across the river was eaten by a 30 foot long crocodile. Even if such a fate doesn't befall you, the authorities may lock you in an underground dungeon and throw away the key if you try to swim in this fine land. Crossing the river on a fallen tree is not recommended. There is a proper foot bridge near the recommended parking location.

Crocodile

The cache is in a brushy area. A seeker will have a fairly significant physical challenge, especially in the summer months. Along the way, expect to encounter brambles and thorns, fallen trees, brush, possible poison ivy, marshy ground, and possibly hazardous critters such as snakes. Waterproof boots are highly recommended.

The cache is hidden between the roots of a good size tree within 10 feet or so of ground zero. Please replace the cache as you found it, and cover it with leaves.

Congratulations to M 5 for being First To Find on this cache!

Additional Hints (No hints available.)