Rotational Reasoning, Squared Mystery Cache
Hidden : 7/29/2020
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size: micro (micro)

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Geocache Description:


The cache is not at the posted coordinates.

Consider the circles and squares shown below; a stationary square and a circle rotating around it. In the top figure, the perimeter of the square is equal to the circumference of the circle rotating around it. In the bottom figure, the perimeter of the square is one half of the circumference of the circle rotating around it.

In the top figure, the angle alpha represents the latitude and is to be derived from a theta value of 39.69171821°. In the bottom figure, the angle alpha represents the longitude and is to be derived from a theta value of 60.11261387°. In both top and bottom figures the circle begins its rotation from the vertical center line of the square below.




Additional notes:
1 - The figures are not drawn to scale.
2 - For insight into this problem, search for the "coin rotation paradox" on the internet.

Congratulations to first solver and finder TeamOttlet.

Additional Hints (No hints available.)



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