A349320 - OEIS

A349320

a(n) is the Y-coordinate of the n-th point of the hexdragon curve; sequence A349319 gives X-coordinates.

0, 0, 1, 2, 3, 3, 4, 5, 5, 4, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 8, 7, 7, 8, 8, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 14, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 19, 19, 20, 20, 19, 18, 18, 17, 16, 16, 17, 17, 16, 16, 17, 17

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OFFSET

0,4

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):

0 ---- X

The hexdragon curve can be represented using an L-system obtained from that of the terdragon curve by replacing each "move forward and turn +-120 degrees" step by two "move forward and turn +- 60 degrees" steps.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..4373

Joerg Arndt, Matters Computational (The Fxtbook), section 1.31.4 Terdragon and hexdragon.

Rémy Sigrist, Representation of the hexdragon curve after 6 iterations

Rémy Sigrist, PARI program for A349320

Index entries for sequences related to coordinates of 2D curves

EXAMPLE

The hexdragon curve starts as follows:

16-17

12-13

11 8--7

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