OFFSET
0,6
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 7-dragon curve can be represented using an L-system.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..16807
Rémy Sigrist, Colored representation of the first 1 + 7^7 points of the 7-dragon curve (where the hue is function of the number of steps from the origin)
Rémy Sigrist, PARI program for A349218
Jeffrey Ventrella, Brainfilling Curves: The Root 7 Family
EXAMPLE
The 7-dragon curve starts as follows:
14 12
\ / \
\ / \
10,13--8,11
\ / \
\ / \
2---3,6,9---7
\ / \
\ / \
0----1,4----5
- so a(0) = a(2) = a(10) = a(12) = a(13) = 0,
a(1) = a(3) = a(4) = a(6) = a(8) = a(9) = a(11) = 1,
a(5) = a(7) = 2,
a(14) = -1.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
sign
AUTHOR
Rémy Sigrist, Nov 11 2021
STATUS
approved