NachtRadln in Graz

This is a Night-Cache where you look for light in the dark. It is best done by bike.
Duration: 1-4h along a non-circular route of about 7-8km.

The following equipment may be helpful:

• bicycle
• Data of other caches so you can collect all the easy points on the way.
• compass
• bicycle light
• calculator (e.g. cellphone)
• bicycle pump and maybe repair stuff
• good flashlight or headlamp
• sweater, long trousers
• your own pen for the log
• printout, e.g. to make your you don't mix up + and - signs

Please remember to bring your own pen.

Things to note regarding the calculations:

• As usual: dot operations have priority over dash operations
• A "(mod 10³)" after an calculation means: only use the least significant three digits of the calculation result, e.g.: 345 of 12345.
• The division by 10³ just puts the centi-minutes where they belong. Of course, the minutes can still change.
• Python-On-The-Road-User can use the following script: http://dl.dropbox.com/u/2274561/gcnachtradln.py

Note: The cache can propably not be done during the day.

Group 0: Much LightPoint 0: N 47° 04.252' E015° 26.070'

This place is still well lit.
A=Number of quadratic lights above you which form a rectangle. (You should be standing at the corner of that rectangle. Count only lights which are part of the two parallel lines)

Look around and you may discover the following constellation of lights. In which direction can you find it ?

Direction B N 028 NE 097 E 230 SE 363 S 496 SW 629 W 762 NW 895

C=ten's place of B
D=crossfoot of A

Group 1: Light and No Shadow

N1=B * C - A + 1 (mod 10³)
E1=B

Point 1.1: to be skipped Point 1.2: N 47° D + [ N1 - 213 ]/10³' E015° 26 + [ E1 - 033 ]/10³' Point 1.3: N 47° D + [ N1 - 70 ]/10³' E015° 26 +[ E1 + 25 ]/10³' Point 1.4: N 47° D + [ N1 - 270 ]/10³' E015° 26 + [ E1 + 87 ]/10³'

F=The secret number hidden at Point 1.2 (3 digits)
G=Number of lanterns in a row between point 1.3 and 1.4

Group 2: Clean

N2=E2 + F
E2=G*27 - 4

Point 2.1: N 47° 02 + [ N2 ]/10³' E015° 26 + [ E2 ]/10³' Point 2.2: N 47° 02 + [ N2 - 204 ]/10³' E015° 26 + [ E2 + 032 ]/10³'

Standing at Point 2.1:
H=Number of tallest structures here, minus 1

Looking NNE, you will find a small house. (It's lit for quarter to half-hour turns. If it's currently unlit, you may need a strong flashlight. You can also always circle back and have a closer look.)
I=Number of windows (don't count the door) in the walls visible from point 2.1

On the way to point 2.2 you will see a group of red reflectors.
J=Number of red reflectors +1

At point 2.2 you find a structure.
K=last 3 digits of the year in which it was built.
L=Number of ground-free lamps.

Group 3: Hard but Fluid Point 3: N 47° L + [ I*15 + J*2 ]/10³' E015° 26 +[ K - I*25 + J*2 ]/10³'

At point 3 exactly, you should be standing on a short and narrow footpath leading uphill.
M=Number of lights pointed towards the sky left and right of this path, within a radius of 2.5m around point 3. (symetric and equal count on both sides of narrow path)

There are many lights in this area, but after 22:00 hours, only the one's you are looking for should be lit.

Alternatively though, you may count all the sky pointed lights in the area. Before 22:00 hours all should be lit, but not all my be in working order.
M=One's place digit of the number of all sky pointed lights in the area.

In the immediate vicinity of point 3 and the information for O there is a loose "circle" and "half-circle" of seating accommodations (horizontal wood meant for sitting).
N=Number of all seats in the circle + all seats (horizontal wood) and all back rests (vertical wood) in the half-circle +2

O=Sum of the numeric values of the characters of the name of the responsible person. (surename + commonname)

(Yes, the sign is still here, but may be overgrown)

Group 4: Not Much Further

N4=O * J² + M
E4=N * I - 7

Point 4.1: N 47° H + [ N4 ]/10³' E015° 27 + [ E4 ]/10³' Point 4.2: N 47° H + [ N4 - 547 ]/10³' E015° 27 + [ E4 + 282 ]/10³'

From point 4.1, looking ahead in your biking direction, there is a small patch of grass with a rectangular sign below a round sign. It's colour is mainly:

At point 4.2 you will find another hidden number.
Q=the hidden number.

Group 5: The Cache

N5=P + M + K + I*10 + G*10 + B + L (mod 10³)
E5=Q + O + F + N (mod 10³)

Final Point: N 47° H + [N5]/10³' E015° 27 + [E5]/10³'Should be easy to see from here using a flashlight.

Please make sure the container is closed properly and screwed tight again.