CC43 Mini Daddy Myth Plot
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This is the forty-third of a series, the “Caerphilly Collection”, that will explore the whole Borough Council area. The cache, a small plastic 'turtle' box, is hidden within 4 miles of the reference location, but its position has to be derived from two mathematical puzzles, one of which requires a bit of lateral thinking. Be prepared to walk about a mile with 200 feet of ascent … provided that you find the best starting point for getting to the cache.
The Caerphilly Collection is distinguished with a unique CC number and is made up of 50 caches. The caches vary in difficulty and type and usually have other “C” word connections – castle, cheese, coal, canal, etc. There may even be Cryptic Clues for Clever Clogs! The current Caerphilly unitary authority grew out of the former Rhymney Valley and Islwyn Councils and stretches from the outskirts of Cardiff and Newport in the south to the Brecon Beacons, north of Rhymney. Despite a past dominated by coal and heavy industry, it has a diverse history and varied and dramatic scenery. We hope you will enjoy exploring it with us.
Towards the end of the Collection is CC48 The Accumulator, the location of which is given in coded form. The translation details of the code are distributed around the whole Collection, but only about a third of the caches will contain a piece of the code, which is on the back of the Log Book. To do the Accumulator, you will need to keep a note of each piece of code that you find. Unless you are very lucky, you will need to find the majority of the Collection in order to do the Accumulator. The Accumulator cache is hidden in an area of difficult terrain and demanding navigation, with a 5,4½ rating.
To find the coordinates of this cache, you need to solve the following problems.
Imagine a telephone keypad, sketched on a plain sheet of paper, so that you have a well-spaced 3 x 4 grid of numbers and symbols. With two straight lines, can you divide it into three pieces such that the numbers on each piece add up to the same odd number? (* and # have zero value.)
Okay, if that wasn't too difficult, now apply the same rules, but end up with the numbers on each of the three pieces adding up to the same even number. This even number is ab.
What is the minimum number of identical circular coins that can be arranged on a flat surface such that each is in contact with one other? The answer is c.
Yes, that is very simple, so …
What is the minimum number of identical coins that can be arranged on a flat surface such that each is in contact with two others? The answer is d.
Okay, that was easy too, so …
What is the minimum number of identical coins that can be arranged on a flat surface such that each is in contact with three others? The answer is ef.
The cache is located at: N 51 3f.bg7 W 003 eh.jk2, where:
g = c – a h = b – e j = f - b – c k = b + c
The reference location for this cache is indicative of the general area only, but you may fancy going there for refreshments after finding the cache! If you want some re-assurance that your answers are correct, the cache name will help – or have we gone completely cuckoo … we had to work in another possible meaning for CC somehow! The cache is on a little visited area of access land, where a little effort is rewarded with fine views. Be aware that some approach paths may be overgrown at times.
Ybpngvba vf na nantenz bs gur pnpur anzr. Onfr bs gevcyr fvyire ovepu, fvk zrgerf jrfg bs cngu.
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Coordinates are in the WGS84 datum