OFFSET
0,5
COMMENTS
Coordinates are given on a hexagonal lattice with X-axis and Y-axis as follows (the Y-axis corresponds to the sixth primitive root of unity):
Y
/
/
0 ---- X
The terdragon curve can be represented using an L-system.
A265671, when interpreted as a sequence of directions, yields the same curve.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..6561
Rémy Sigrist, Colored representation of the first 1 + 3^11 points of the terdragon curve (where the hue is function of the number of steps from the origin)
Rémy Sigrist, PARI program for A349041
Wikipedia, Terdragon
EXAMPLE
The terdragon curve starts (on a hexagonal lattice) as follows:
+-----+
8\ 9
\
+-----+7
6\ /4\
\5/ \
+-----+
2\ 3
\
+-----+
0 1
- so a(0) = a(1) = 0,
a(2) = a(3) = a(5) = 1,
a(4) = a(6) = a(7) = 2,
a(8) = a(9) = 3.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
sign
AUTHOR
Rémy Sigrist, Nov 06 2021
STATUS
approved