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Golden mean base
The
Golden mean
(φ) can be used as a number
base
. In it, all
integers
have representations of
finite
length. If you include the rule that you cannot have the digit sequence "11" within a numeral, each integer has a unique numeral. Examples:
Decimal
Powers of φ
Base φ
1
φ
0
1
2
φ
1
+φ
-2
10.01
3
φ
2
+φ
-2
100.01
4
φ
2
+φ
0
+φ
-2
101.01
5
φ
3
+φ
-1
+φ
-4
1000.1001
6
φ
3
+φ
1
+φ
-4
1010.0001
7
φ
4
+φ
-4
10000.0001
8
φ
4
+φ
0
+φ
-4
10001.0001
9
φ
4
+φ
1
+φ
-2
+φ
-4
10010.0101
External Links
Using Powers of Phi to represent Integers (Base Phi)
(
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phigits.html
)
wikipedia.org
dumped 2003-03-17 with
terodump