Lmst

My submission to the art exhibit at #BridgesMathArt2023. The second picture shows a brief description of it taken from the supplement to my squiggles paper (https://archive.bridgesmathart.org/2023/bridges2023_Supplement_108.pdf).

Yes…I have indeed finally written a paper about squiggles, it can be found at https://archive.bridgesmathart.org/2023/bridges2023-469.pdf.

#mathart #mathsart #wedgeSquiggles #arcSquiggles #polygonSquiggles

An 8-fold geometric pattern made of white cord and silver-coloured metal pieces on a black cloth on a white box. It is seen at a downwards angle with a number of people standing around it.

The geometric pattern in the previous picture with a representative squiggly unit drawn as triangles in light blue with black outlines off to the right to show the structure.

There is text underneath which says “Knot Again! A tatted piece in the Art Exhibit at Bridges 2023 made of 16 wedge squiggles with a 22.5° angle using the sequence 2,4,6,8,10,12,14,16 (https://gallery.bridgesmatharrt.org/exhibitions/2023-bridges-conference/rashmi-sunder-raj).”

(9/?) Another try at a physical tatted squiggle. This one is only about an inch and a half in length.

I tried “dyeing” the thread with permanent marker to get two strands with the same characteristics other than colour.

#tatting #mathart #mathsart #polygonsquiggles

A piece of tatting with a dark portion curving one way, then a smaller light portion with the same radius curving the other way, followed by a smaller dark portion with the same radius curving the other way, etc.
There are a total of 9 portions shown on a dark background.

29-gon squiggles, also shown with wedges.

#polygonSquiggles #wedgeSquiggles #mathart #mathsart

An almost sector-like shape made by squiggly structures formed with 29-gons. Shown in white on a black background.

The same pattern as the previous one, but in black on white, and including radial lines from small circles around which the 29-gons are placed.

A magnification of the previous picture showing how the structure is made of portions of 29-gon rings pasted together in a snaking fashion.

(8/?) Here is another tatted physical representation of a squiggle.

I was trying to approximate the basic unit used in this picture https://mathstodon.xyz/@HypercubicPeg/109519987316245678

#tatting #mathart #mathsart #polygonSquiggles

A piece of white tatting on a grey background. It has a squiggly shape made of portions of the same sized circle.

(7/7) New attempts at physical squiggles…now that I know a little tatting.

There are probably errors, but it is just a proof-of-concept thing at this point.

#polygonSquiggles #wedgeSquiggles #tatting #mathart #mathsart

Not #polygonSquiggles or #wedgeSquiggles this time. But nevertheless it is a squiggle drawing.

#mathart #mathsart #crescentsquiggles #rhombus #symmetry #rhombusWorms

A 20-fold rotationally symmetric pattern in shades of blue on a background which is light blue at the center, fading to black at the edges. The pattern is very wavy and is made up of small crescents formed with rhombi.

A close up of the pattern in the previous image.

One unit of the pattern making up the previous images.

Here is a #Halloween pattern based on a modification of one of my #pentagon patterns and a tiny bit of #recursion.

#symmetry #pentagons #polygonsquiggles

A 10-fold rotationally symmetric pattern of pentagons which goes from yellowish-orange colours near the center to black at the outer parts.

The gaps have been made into halloween-themed items like jack-o-lanterns, bats and glowing eyes.

"Creatures of the Seven Seas": The creatures depicted here are constructed from heptagons, rings of heptagons, and heptagon squiggles. In some cases, they appear to be using patterns of shading to conceal their true structure :)

I made this in 2018 and it was shown at the JMM in 2019.

#polygonsquiggles #mathart #mathsart #heptagons

Picture of multicoloured creatures (mainly blues and magenta) on a dark background (dark blue at the top, fading to black at the bottom) It is intended to resemble an underwater scene, but constructed out of heptagons shaded in various ways.

Some #beadCrochet based on #polygonSquiggles

Before and after.

#mathart #mathsart #crochet #beading #polygons

A lacy piece of light-coloured bead crochet draped over a clear globe in front of a dark background.

The bead crochet piece from the previous picture after having stiffeners sewn in to make it lie flat.

(2/3) In these pages, I look at what happens if I change the sequence of numbers that I use to construct the squiggle from the simple 1,2,3,…,n. I also take a look at why for ‘linear’ squiggles, the centers of rotation of the parts of the squiggle lie on one of two lines.

#polygonSquiggles #wedgeSquiggles #mathart #mathsart #geometry

A look at a non-linear squiggle, and some other thoughts.

Pictures showing the lines on which the centers of the parts of the squiggle lie, and some calculations to see why this happens.

An example showing how the bounding triangle of a linear squiggle changes as the starting angle and the increment changes.

(1/3) For those of you wondering what I have been talking about when mentioning using #polygonSquiggles and #wedgeSquiggles in my art, here is a bit of stuff that I wrote about how the idea developed.

#mathart #mathsart

A description of how I started working on what I call “squiggles” by pasting together parts of polygon rings in alternating directions. A 1-polygon chain, followed by a 2-polygon chain, then a 3-polygon chain, etc…

Example of construction of a squiggle for a 29-sided polygon.

There are some comments about extending the idea to working with sectors or triangular wedges of circles rather than a portion of a polygon ring.

$This page includes an attempt to make a fractal version by repeatedly replacing the triangular wedges with a copy of the squiggle formed by them.$ $Some more squiggle pictures with more of the fractally stuff, and a picture which includes both a squiggle and its complement.$

#polygonsquiggles

Client Info