Fibonacci Caching Challenge
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711 etc.
I have always been fascinated by the Fibonacci Sequence. The Fibonacci sequence is named after Leonardo of Pisa, AKA Fibonacci. He is credited with introducing the number sequence to Western European mathematics in 1202 in his book titled Liber Abaci or "The Book of Calculation". The Fibonacci sequence is fairly simple, each digit is the sum of the previous two digits. Fibonacci sequences appear in biological settings, such as branching in trees, arrangement of leaves on a stem, the flowering of artichoke, the seeds on a sunflower, the spirals of shells, the arrangement of a pine cone and much more. We hope you enjoy the challenge we created using this series of numbers.
Logging Requirements:
A. Your list of Geocaches Found (from geocaches tab on user profile) must include at least 11 different types. Please include in your log the length of the Fibonacci sequence you were able to complete.
B. Each type of Geocache Found can only be used once in the sequence. Allowable entries are as follows:
Allowable Geocaches Found:
| Traditional |
Webcam |
|
| Mystery/Puzzle |
Wherigo |
GPS Adventure Maze Exhibit |
| Multi-stage |
Event |
|
| Virtual |
Mega-Event |
Project A.P.E. |
| EarthCache |
CITO Event |
Locationless (retired) |
| Letterbox |
Lost and Found Event |
Benchmarks |
| Groundspeak Block Party |
Groundspeak Headquarters |
Groundspeak Lost and Found Celebration |
C. Each unique type of Geocache Found must have a Count that equals or exceeds a corresponding Fibonacci Number. Must have at least 11 consecutive numbers in the Fibonacci sequence to get the smiley.
D. We will use the Geocacher Statistics page and/or the Geocaches tab on the user profile, to verify logging requirements. If the page(s) are not viewable, the geocacher will need to provide an alternate method for verification. Any logs not meeting the requirements will be deleted.
E. All Geocaches Found (past and present) count toward completing this challenge. The exception to this rule is the short-lived Challenge Cache type (note: not to be confused with the Puzzle Challenge cache type).
First To Find (FTF) Opportunities
Because of the difficult nature of this cache we will allow 10 First To Find (FTF) opportunities. One for each number sequence length, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20. Can anyone actually claim the 20 number sequence?
11 Number Sequence: steam844 on Feb 8th, 2012...still lots of snow around
Found many times
12 Number Sequence: StinkyMillers on Feb 4th, 2012...in 13+ inches of snow
Found 5 times
13 Number Sequence: Krydos on Feb 5th, 2012...day after 13+ inches of snow
Found 3 times
14 Number Sequence: NevaP on March 6th, 2012. Also gets unique signature award
Found 3 times
15 Number Sequence: coFTF - Boreal Walker, accordiongal and EskoClimber - Mar 31st, 2012
They drove over 1300 miles for this cache....and 131 more
Found 7 times
16 Number Sequence: captainmath on June 18th, 2013. Visiting from PA
Found 2 times
17 Number Sequence: MaxB on the River on March 20, 2016
Found 1 time
18 Number Sequence:
Found 0 times...FTF still available
19 Number Sequence: ZSteve on July 9, 2020
Found 1 time. Only took a little over 8 years for the FTF.
20 Number Sequence:
Found 0 times...FTF still available
Cache List Examples
Fibonacci Challenge Examples
| Steps in Sequence |
Fibonacci Number |
Acceptable |
Not Acceptable |
|
|
Cache Types |
Caches Found |
Cache Types |
Caches Found |
| 1 |
0 |
Groundspeak HQ |
0 |
Locationless |
0 |
| 2 |
1 |
GPS Adventure Maze |
1 |
Lost and Found Event |
1 |
| 3 |
1 |
Lost and Found Event |
1 |
Lost and Found Event |
1 |
| 4 |
2 |
MEGA Event |
5 |
Webcam |
2 |
| 5 |
3 |
Webcam |
5 |
MEGA Event |
3 |
| 6 |
5 |
CITO Event |
5 |
Wherigo |
5 |
| 7 |
8 |
Benchmark |
13 |
Benchmark |
9 |
| 8 |
13 |
LetterBox |
14 |
LetterBox |
9 |
| 9 |
21 |
EarthCache |
22 |
Event |
22 |
| 10 |
34 |
Event |
34 |
EarthCache |
34 |
| 11 |
55 |
Virtual |
55 |
Virtual |
55 |
| 12 |
89 |
Multi-Stage |
150 |
Milti-Stage |
90 |
| 13 |
144 |
Mystery/Puzzle |
150 |
|
|
| 14 |
233 |
Traditional |
1625 |
Mystery/Puzzle |
250 |
| 15 |
377 |
|
|
|
|
| 16 |
610 |
|
|
|
|
| 17 |
987 |
|
|
Traditional |
1524 |
| 18 |
1597 |
|
|
|
|
| 19 |
2584 |
|
|
|
|
| 20 |
4181 |
|
|
|
|
The list in the middle fulfills the logging requirements. Please note that some numbers exceed the corresponding Fibonacci number.
The list on the right is not acceptable for several reasons: 1) It repeats a Geocache Found (Lost and Found Event) 2) Fibonacci numbers are non-consecutive (there are gaps in the sequence) 3) the entry for the LetterBox does not meet, or exceed, the corresponding Fibonacci number.
You may also refer to the image link below for examples of completing the cache challenge.
The Fibonacci Caching Challenge is spreading. Check out "The Fibonacci Challenge - GC4F3R1" placed by CaptainMath in Pennsylvania....only a little over 1100 miles from this cache.