OFFSET
0,7
COMMENTS
Coordinates are given on a hexagonal lattice with X-axis and Y-axis as follows:
Y
/
/
0 ---- X
The Sierpinski arrowhead curve can be represented using an L-system.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..2187
Rémy Sigrist, Colored line plot of the first 3^7+1 points of the Sierpinski arrowhead curve (where the hue is function of the number of steps from the origin)
Rémy Sigrist, PARI program for A334483
Wikipedia, Arrowhead curve
EXAMPLE
The Sierpinski arrowhead curve starts (on a hexagonal lattice) as follows:
+
27\
\
+
/26
/
+----+
/24 25
/
+ +----+
23\ /20 19\
\ / \
+----+ +
22 21 /18
/
+----+ +
/4 5\ 17\
/ \ \
+ + +----+
3\ /6 16 15\
\ / \
+ + +----+ +
/2 7\ /10 11\ /14
/ \ / \ /
+----+ +----+ +----+
0 1 8 9 12 13
- hence a(6) = a(7) = a(20) = a(21) = 2.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,look
AUTHOR
Rémy Sigrist, May 03 2020
STATUS
approved