Welcome to FEG: Rotation. It's been over two years since my debut cache FEG: Reflection, and this cache was originally intended to be the third in a series to the theme of “stuff we were taught in school that we never thought would become useful”. Unfortunately, the intended second cache (working title "FEG: Translation") has been held up, so it’ll have to be a pre-quel if/when it does come out.
Surrounded by the pandemonium we call Sydney’s East, the boutique suburb of Daceyville is a breath of fresh air. This delightful, quiet little suburb has overwhelmingly more than its fair share of greenery, parks, sport fields and golfing ranges. Indeed, the title of a (sadly now-archived) cache "Garden Suburb" is a most appropriate description.
A feature of Daceyville is that its main streets seem to radiate from the central hub at Dacey Gardens while its cross-streets form arcs around it – providing the perfect setting to the theme of this cache.
Shortest total distance from start to cache is around 1.5 km. The traffic-control devices at Daceyville can make it difficult to drive around. With cycle-lanes and relatively quiet streets joining WP1, WP2 and GZ, this cache is particularly suited to cycle-caching. (But always be careful when cycling Sydney streets, of course!) Since the relocation of this cache, it has been down-sized to a camo'ed bison. Please replace exactly as found.
Your geo-mission consists of the following:
Start at WP1 given by the coordinates.
At WP1:
Obtain the following details relating to the manufacturer of the blue park benches nearby.
- Number of letters in the suburb name is A.
- The first digit of their street address is B.
- The last digit of their ABN is C.
Look to the nearest metal lamp post’.
- Second-last digit on the black plate starting with "MA" is D.
From WP1, two concrete paths lead South. Go to the end of the left one (just before the pedestrian crossing). To the left of the path (about 6 metres) is a large sign.
- Number of letters in the last of three words printed in small lettering at bottom left is E.
- Number of sections the green main-sail is divided into by white lines is F.
Coordinates for WP2 is S 33° 55.ABC E 151° 13.DEF
From WP2 to GZ:
East of the path at WP2 is a large climbing frame. The second digit of the ABN of the equipment supplier gives you G and the first digit of the Australian Standards the equipment complies with is H.
Imagine a very long rope tied to WP1 and pulled taut at WP2. Holding the WP2 end of the rope and keeping it taut, walk in a Westward (i.e. clockwise) direction until the new direction of the rope makes an angle of GH degrees to its original (i.e. from WP1 to WP2) direction. GZ is at the end of the rope in this new direction and position.
Since this cache requires slightly more involved calculations than usual, I have assigned it a difficulty of 3. As a refresher for this kind of mathematics, here are a couple of links which may be helpful:
Math Help Forum: A brief blog/chat with the useful reminder to translate the centre of rotation point to the origin.
ACM SigGraph: If all you need are the equations.
FTF Geopin claimed by the intrepid artemidorus1. Congratulations!