How to merge a Hexagonal pattern with a Voronoi pattern?

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Comment by Andy Murray on October 26, 2022 at 2:02am

A hexagonal pattern is a lot like a Voronoi pattern in that it uses the idea of distance from an origin. But instead of using the distance from some point, it uses the distance from one side of a hexagon to another. A Voronoi diagram works well for representing points inside a plane, but it doesn't do so well when you want to represent points on surfaces other than planes. You should try this it support orlando for best reviews. For instance, if you wanted to represent points on a sphere instead of a plane, you'd have to use some other way of determining where those points are.

Comment by Leonardo Nuevo Arenas on February 11, 2012 at 12:43pm

Comment by LINE on April 13, 2011 at 1:07pm

I have in General Discussion

Discussion one post with what I need, I can not send you one pdf file, please have look is in page 1 and you can see the pdf file.

Basiclly what I need is do voronoi not with Hexagons geometry but squares geometry.

 

Comment by Kyle Culver on April 13, 2011 at 12:54am

Line,

Clarify what you mean by square voronoi?  What are you trying to achieve?  That may help to find an answer.

Comment by LINE on April 12, 2011 at 4:00pm

 Hello Ola Jaensson

Can you clarify your idea to do the deformation voronoi.

Is possibel to do square voronoi in one closed 2D curve

 

line

Comment by biboarchitect on April 9, 2011 at 10:35am

Hi,

using Ola's & kyle's ideas.. after deforming you grid of points.. you can rotate each side of the hexagon edge from its mid point with an attractor point from one side of the grid to the other to achieve the transformation..( and as Ols mentioned.. with no deformation of points a new hexagonal gird will be created..)

Comment by Marios on April 9, 2011 at 9:51am

Thank you everyone for your answers, you've been helpful :)

Comment by David Rutten on April 9, 2011 at 9:40am

You can only interpolate two objects if they are of the same type (or same topology). For example, I can interpolate two numbers (1.5  ---  6.2 = 3.85) and two colours (yellow  ---  blue = green), but I cannot interpolate a colour and a number (2.5  ---  red = ?).

 

Similarly, it's possible to blend between two curves, even if one is closed and the other open. A closed curve is nothing more than an open curve with its end-points in the same place after all, so the topology is the same. However, it might not be possible to blend between two sets of curves. If one set contains more curves than the other, then you cannot really find a point nicely in between.

 

Ola and Kyle's suggestions are excellent ideas as they circumvent the whole interpolation problem.

 

Starting from a file made by someone else is always tricky. There'll be parts you don't understand and that will prevent you from comfortably adapting and debugging it. The same problem occurs if you have to work with code someone else wrote.

 

I think the best way to approach this problem is to recreate the logic from scratch. You might not get all the way there, but learning how to get 25% of the way there on your own is much more worthwhile than taking work by others and combining it without understanding it. And if your teacher disagrees, he knows where I live :)

Comment by Marios on April 8, 2011 at 10:55am

Hello,

I found a definition on the Internet, where, together with my tutor, we changed it a bit, and we have actually got come somewhere. We managed to create hexagons with an attractor point, and the hexagon grid points are distorted the nearer they get the attractor point, and this creates a voronoi effect. 

However, there are some wrongs with the definition, and frankly, I don't understand it. Perhaps someone could have a look at it? I posted the defs to this blog post.

Thank you!

Marios

Comment by Kyle Culver on April 7, 2011 at 11:30pm

First I'd explore the geometric relationship of the point location relative to the voronoi output.  You'll find after a bit of exploration that voronoi can become quite predictable and controlled. Hexagonal forms can be created using a voronoi method by establishing a point grid that contain a uniform alternating shift by either row or column.  Then a create a progression of random points until satisfied.  Sorry for the reiteration! I just read ola's comment.  Best of luck!

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