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Showing posts with label Geometric patterns. Show all posts
Showing posts with label Geometric patterns. Show all posts

Tuesday, August 15, 2023

Coasters. Everywhere I Look I see Coasters!

I'm having quite a bit of fun playing with the drafting features of my CNC software.  It has a polygon drawing tool. This lets you make polygons of any whole number of sides above 2.  Triangles to 45 sided polygons and above.  Of course once above 20 sides or so the shapes start to look more like circles.  

In a previous post I mention how nice this tool and a few others could be used to make complex geometric patterns.   One great use for such pattern work is to add detail to simple project surfaces.  To quash a bored few minutes I've been using the software to make patterns for coasters.  A simple shape.  Unlimited pattern possibilities.  Here are a few.






























From simple to very complex. The tiny details on some could be left out with no loss of visual impact on a 4" diameter coaster. The patterns I've confined to the inner 3.5" diameter area.

While I like the shadow effects of the V-cut patterns, for practical use the cuts should be filled with epoxy or inlayed using the VCarve inlay technique and contrasting wood.  Clear epoxy might let you still appreciate the carved look.  The slight chamfered edge makes them easy to handle. I'd cut a circle of adhesive backed cork to stick to the bottom surface if I made them. 

A good project to do with a CNC using small scraps of wood and a short amount of time.   Even complex toolpaths don't take much time to cut on such small areas.  Four or maybe six could be cut from a strip of wood to make a set. Use the same pattern for all, or use unique patterns on each individual coaster.

4D 



Thursday, August 3, 2023

Polygons and Pattern Work

 

Spun Heptagons
There is an interesting geometric feature that basic polygons all have.  For any polygon you can take a chord (connecting opposing corners) and with one end as the center point spin and copy it twice the number of the polygon sides over 360 degrees and you'll find that every corner of the polygon is passed through by one of the spun vectors.   

Heptagon Chord
It works with Heptagons.  It'll work with Nonagons or Hexagons or Octagons too.

Octagon Chord
I suspect the fact that all corners of the polygon fall on a spun vector will be true for any number of sides. For pattern work using more than a 13 sided polygon the patterns created get pretty dense.  To carve them in wood using a V-bit the tinier details get lost or brittle. 

Nonagon Chord
To make an interesting pattern I used a feature in my CNC software to make copies of the polygon that attach to each of the spun vectors. 

Pattern from Nonagons

Before I could make toolpaths to carve the pattern I had to outline the sections I wanted to be cut.  Once done I selected just the outlined shapes and use the V-Carve toolpath with a 120 degree V-bit to produce the shape below.

Spun Nonagons
Even star shapes can be used. More detail can show up depending on what the inner radius is relative to the outer radius.

Spun Star Pattern

A nine tipped star was used to make the complex pattern above. A 7 tipped star was used make the pattern carved below.

7 Tipped Star Pattern
While I haven't actually carved any of the examples above, I am contemplating covering a small feature  wall in my house with an array of patterned tiles made using this trick. More Complex patterns can be made with a denser spun vector array.  Instead of just 14 vectors with a heptagon, 28 vectors could be used. 

Heptagon x 28
More spastic patterns can be made using a circular number of vectors that isn't a multiple of the polygon sides, or picking something other than a corner of the polygon to spin/copy it with. 
Heptagons offset
Above is a pattern made using a heptagon that was offset from where the center was spun about.  Given that there are 360 degrees in a circle to spin about, and a nearly infinite selection of positions you can spin different polygons about, the possibilities are endless.

For a furniture project the vectors could be flattened to fit on the face of a drawer front, or used on cabinet doors to add some interesting detail.  Here are a couple of drawer fronts:

Where necessary a circle area in the center could be left uncarved to allow for a place to screw in a handle/knob. The sectioned areas don't have to have straight sides. The top drawer front pattern was done using a circle spun 16 copies around a center point.   

Questions? Leave a comment. 

4D