Generating centered hexagonal lattice

Question

I want to create a hexagonal lattice but it should be centered basically the whole lattice is a central hexagon and then layers of hexagon around, like shown in the figure. (may be my description is confusion, but right now that is how I am seeing it).

So I want to generate the coordinates for lattice below. I found many algorithm to create square lattice of hexagons but I want to ask if there is a algorithm for following lattice too.

MBo · Accepted Answer · 2016-05-02 17:56:52Z

1

Note:

N-th layer consists of 6N cells.

First cell of that layer in your representation has coordinate shift

(N*A*Sqrt(3)/2, N*A*3/2), where A is edge length.

First cell of that layer has number

2+3*N*(N-1)                     //(you have missed 14)

You can start from the first cell of Nth layer, make N more cells to left, N cells to left-down and so on...

answered May 2, 2016 at 17:56

MBo

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2 Comments

jkhadka Over a year ago

Hey @MBo, thanks for the reply. but I am confused. what do you mean by First cell of that layer . Also by First cell of that layer? I am quite confused by the description. Would appreciate it if you can elaborate a bit on this?

MBo Over a year ago

Cell number 2 is the first cell of the first layer (it contains cells 2..7), Cell number 8 is the first cell in the second layer (8..19).

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