Showing posts with label Inkscape. Show all posts
Showing posts with label Inkscape. Show all posts

Sunday, February 18, 2024

Tiling Stars

Red stars, triangles, and kites arranged into nine-fold and six-fold arrays.
One of my hobbies is playing around with different types of tilings.  Mostly I like to play around with Penrose Kites and Darts.  I also like to try to fit stars into regular patterns.  The most recent exploration that I've done comes from Daud Sutton's "Islamic Design," where he talks about making a grid out of right triangles, and then placing regular polygons and other shapes onto the edges and corners of the triangles.  In the case that I was interested in, he used five-pointed stars.  

Getting the stars down on the triangles was simple enough, but it took me a lot of wiggling to get the nine kite-shapes at the top and bottom of the design to look symmetric and not smooshed.

I'll have to see what sorts of patterns will result from right-triangles which form squares instead of hexagons.

A couple of weeks ago, I read about a technique for putting odd-numbered polygons and stars together.  Start with a figure, duplicate and reflect it, then make the two closest points touch.  Skip a point on ether side of the touching point, and place a reflected duplicate there, too.  This will make a repeating line, which you can put together into a mesh.  I tried it with 5-, 7-, and 9-stars; the 7-stars were the most aesthetic, so I put together some interwoven 7-stars into a larger interwoven pattern.

Whats fun about this technique is that it allows one to break away from patterns that are hexagon- or square-based. 

Sunday, November 20, 2022

Repeating Patterns

Geometric pattern consisting of groups of three pentagons arranged into a hexagonal array.
It's that pause during the year before it seems like everything happens all at once.  Thanksgiving will hit, I'll need to figure out some sort of holiday craft gift, start production, and mail out items soon.  And set up a Winter Solstice Lights Spiral.  While trying to write, going to work, and other everyday tasks.  Somewhere in all of this we want to send out holiday cards, too.  

We've made some fairly creative holiday cards in the past; I think "Smokey Knew He Could Save Christmas" was my favorite.  A few years ago, there was an abortive attempt to have us riding the notes in a music score for "Jingle Bells," but Mark thought it was "too gay," and we've devolved to generic portraits.   Perhaps this year's card will be "Merry and Tired."  


The other day I finished "wiggling tiles," as I liked to put it, and came up with a tile pattern using pentagons.  

Groups of three pentagons arranged into a hexagonal array.
I was pleased with the effect, but I had a suspicion that I'd done something similar.  Sure enough, as I was going through my photo collection to try to find pictures for a family 2023 calendar, I ran across a design I'd done last spring that was virtually identical.

And looking more closely, this is essentially a variation of interlocking circles within a hexagonal array, which I did a variation of last November.  I suppose there's only so many ways one can have repeating infinite tiles using pentagons, and it involves arranging them around hexagons.  


Sawtoothed circles arranged in a hexagonal array so that the teeth form snowflakes, hexagons, and six-pointed stars.
I'm trying to decide if Twitter imploding is a good thing or a bad thing.  

On one hand, I have some contacts with writers, Math Art Folks, archeology, Pagan, and folklore specialists that I would hate to lose; on the other hand, having one less social media site to visit might not be a bad thing—Ursula Le Guin famously did not have a Twitter account.  On the first hand, it's kind of fun to see what other folks are doing, especially when I remember to use curated lists; on the other hand, virtual friends are virtual, and none of my family are on Twitter.  And then there's the whole DoomScrolling thing.

I might post more directly to this blog and less directly to other social media sites in an attempt to simplify my life and also to exercise my ability to focus on something longer than 256 characters, which feels like it has atrophied in the last two and a half years.   We'll see how well that works; Twitter (and Instagram) make it easy to fire off a quick post.  The same quick post with Blogger takes a little more effort (fire up a computer, upload photos, write text, import photos...) mostly because there appears to be no mobile app for Blogger.  

I'm sure there's a metaphor in there, somewhere.



Wednesday, May 04, 2022

Septagram Revisited

The other day I revisited the interlaced septagram.  I wanted to make the areas between the rays more even, and I ended up doing a double-interlace.

This design suggests to me that it could work as a a meditation guide; I see several skewed perspectives in it, and the curves have a feel of water and bridges to them.  

Perhaps I'll stare at it before going to bed and see if any interesting dreams appear.


Tuesday, April 19, 2022

Interweave

The other week I saw an interweave design entwined around the letter H in a medieaval manuscript.  I liked the combination of interlocked squares and and vesica piscis (it turns out the vesica piscis is not a true one).  So I set out to make something similar.  

The arcs on the false vesica pisci are quarter-circles cut on the diagonal; I had to fiddle with the placement and settled on having the arcs start one square in on the straight interweave—if I had used a proper arc starting at the arcs' intersection points, the interweave would have badly distorted the squares in the outer diagonals of the interweave.  

Without the H in it, this version puts me into mind of open-mouthed snake heads, and I can almost see this being used in a Viking design of some sort.

Tuesday, February 01, 2022

Day of Producing Art

It's been a while since I photographed the planets.  Saturday, we had a break in the weather:  the morning sky was clear and cold, which meant that Venus, the Moon and Mars were visible in the pre-dawn sky.  Venus is approaching its greatest brilliance, in a few days it should be visible during the day.  The Moon was three days before being new, and rose something like 5 AM.   Mars was dim compared to the Moon and Venus.

All three objects were fairly low in the sky, which necessitated crossing the street with camera and tripod. After contending with some awkwardly placed power lines, I managed to frame the sky over the eaves of neighbors' houses.  It would have been nice to have a tree's silhouette in the photo, but the rooflines looked like mountains or possibly pyramids.  

After a quick jaunt to the store for tea, I set up the camera and tripod in the backyard against the arbor vita trees, focused on the fountain, and waited for the hummingbirds to appear.  Of course, the first hummingbird to appear came while I was futzing with the tripod and I only managed a blurry photo of it flying off.  I finished set-up.  I felt a little like some early twentieth century British Naturalist, as I had set up a small end table, chair and cushion, and had wrapped myself in faux leopard skin fleecy blanket.  

As I was sipping my rapidly cooling tea, a fierce humming signaled the sudden arrival of a bright red hummingbird.  It peered at me down its long and pointy beak, and, as I Tweeted later, I was pretty sure it was challenging me to a duel over ownership of the fountain ("Hello.  I am a hummingbird.  This is my fountain.  Prepare to die.")  

The light meter on the camera helped me to gauge the sun's progress, as I would have to adjust the shutter speed to compensate for the increase in light.   When the hummingbirds came to the fountain I was mostly ready.  I took many photos, fiddled with fine-tuning the camera's focus, and managed a number of good shots and one excellent one (the first one).  

By the time my tea had defrosted the glass top of the end table, it was too cold to drink.  

I spent the rest of the morning processing photos, and then it was time to go to my folks for a socially distanced celebration of my Dad's birthday.  We brought gluten-free cupcakes as a alternative to a socially closer birthday cake with candles.  Mark and I (okay, mostly Mark) had painted a sign for his garage, which he's converted into a combination wood shop, gym, and indoor dog play area.  It looked a little like a medieval manuscript, with the H in his name outlined and a medieval dog at the bottom.  I'm pretty sure he liked it, or at least appreciated it.  His ginormous German Shepherd and Aoife played together; we played "Apples to Apples."  

Then it was time to run home and feed the cats.  

The evening wound up with the finishing touches on a the latest geometric Math Art.  

If Saturday was the Day of Producing Art, Sunday was the day of Relative Sloth.  



Tuesday, January 11, 2022

January and Octagons

We've taken down the Christmas trees at our house and at my folks' house.  Our tree this year was one of the smallest ones we've had, and once we took all of the paper doves, ornaments, and lights off of it, I carried it outside.  I enjoyed the tree, but while it was up it underscored how frat-house-cluttered our living room is.  I suppose whenever we decorate for a holiday, we cross over a saturation point.  

My folks' tree is a monster artificial tree that practically requires a blowtorch to take apart, and winches to cinch back into its boxes.  But we did it.  This may be the year I come up with some kind of origami collapsable tree contraption that my dad can manage (I'm seeing a rack-and-pinion mechanism that expands like a car jack, only tree-shaped).



The snow from December has melted and we're back to our regular upper-thirties rain and overcast (with occasional sun).  Since the hummingbirds were peering down the hole in the fountain's stone pillar looking for water, I braved the frigid water and reinstalled the pump.  Within an hour-and-a-half, they'd come back to splash in the fountain's flow, which made me surprisingly happy.


On the art front, I've been playing with octagonal symmetry.  The results tend to look like quilt patterns.  Whereas pentagons and Penrose tiles have to deal with the golden mean and the odd gap where things don't quite line up, octagons have to deal with issues around the square root of two.  What's interesting is that triangles repeating around an octagon almost will make a perfect five-point star (one can almost, but not quite, make eight pentagons fit around an octagon).  I stuck to squares, right-triangles, and isosceles triangles mostly.  It occurs to me that I didn't try using alternating half-circles set on a square's corners--but that might end up looking like jigsaw puzzle pieces.  Hmm.


The latest dream involved going on an archeological visit to an ancient stone tower, built by vaguely South Americans in some unspecified past.  The tower was more like a giant mesa, eroded volcanic plug, or stone pueblo.  I got caught in a shaft that was being used as an elevator and got mashed a little by the plastic gondola as it descended.  


When I got to the top of the tower, there were a bunch of other tourists there.  A strong wind picked up, and the tower began listing to one side.  We were directed to walk down hitherto unnoticed stairs before the whole thing could blow over.  

I can only conclude that the symbolism of the tarot card, "The Tower," has been added to my typical elevator anxiety dream, which, I'm  just now realizing, had the beginnings of the "lost in a constricting maze" elements in it.  Sigh.

Sunday, December 26, 2021

Wrapping Up December 2021

  I envisioned myself blogging (and writing) much more this December than has actually happened.  Part of this is due to posting to social media more than actually blogging.  I suspect that I need to have add some time-keeping software to my apps to bring social media usage back into balance.    

To recap the last few weeks.   


Through a series of events, the Day Jobbe has expanded to full time.   It's mostly remote, and I drive in to work some days.  I am doing a combination of departmental intranet design and web site management.  It has been a reminder of how brutally insurance benefits are awarded (or not) to vested employees. 

 

Writing is going very slowly, which I find it tends to do this time of year.  


My extended family is doing mostly well and managing to stay healthy during the pandemic.  



The cats have crossed another threshold with the dog and are more likely to spend the night in the house (rather than the garage) with the dog.  The cold might have something to do with this.  They also seem more tolerant of the dog in general, and no longer zip out of a room whenever she appears.  



Smokey seems to have recovered from his earlier medical emergency.  He's still as fluffy as ever, but--whether through the medicine he's taking or through the touch of age--he is bonier than he used to be.  



On the design front:  last November I sat down and decided to see about reproducing an Islamic design I've always thought was an interesting interlocking of circles, triangles, and hexagons.  As is usual with these sorts of designs, one can make it tile infinitely.  Other design projects include designing this year's family calendar and paper projects.

Thursday, August 19, 2021

Hieroglyph Magic

The last Intro to Hieroglyphs Class was the other week, and I've been spending some time writing various words in hieroglyphs, making flashcards, and going through Sir Alan Gardiner's "Egyptian Grammar, edition three."  "Egyptian Grammar," is interesting and informative (and funny in some places), but I did have a moment about two days into it where I had to admit to myself that I had secretly hoped it would be filled with Ancient Egyptian Spells (cue DeForest Kelley as Dr. McCoy asking High Priestess Natira of Yonada about The Book of The People concealed within an obelisk, "Don't you long to know its secrets?").  

While I have found a section to a "spoken offering" frequently carved in mortuary temples, so far there hasn't been a Middle Kingdom version of "Oh Zephyr Winds / which blow on high: / Lift me now / so I can fly!"  

What is intriguing about hieroglyphs to me is that their use of unvoiced determinatives, which are frequently ideograms, at the end of words. Written English doesn't use them, but the closest thing I can think of that would be like them was if we wrote the word "stop" and then added a red octagon at the end. Or, I suppose, the word "poop" and then added the poop emoji (eye roll).   Ideograms and determinatives give Egyptian hieroglyphs an appealing graphic design element.

One word I thought I would like to try out is "ḥekꜣ," or, to give it's English translation, "magic."  It's spelled wick, ka, vulture, man pointing to his mouth.  The wick is a twist of flax used in oil lamps.  The ka is a soul or spirit.  The vulture is a vulture.  The determinative of the man pointing to his mouth ends words related to voice, eating, or the mouth.   



I went to the Unicode web site, found the hieroglyphs, arranged them in InkScape, then imported the InkScape SVG into Blender.  After a while fiddling with Blender meshes -- I need to re-import the SVG and close up holes in the individual meshes -- I had some objects I could render.  Unfortunately, importing the unicode characters, especially complex characters with lots of loops and holes, results in confused meshes that aren't manifold (or "air-tight"); so I couldn't use what I'd created to engrave hieroglyphs from a solid block using a Boolean difference function.  Oh, well; only embossed figures for me.  

I'm ambigious about the result.  On one hand, it's cool to see the Ancient Egyptian word for "magic" glowing on a computer screen.  On the other hand, there's room for improvement.  The unicode characters are great for sending Tweets, IM, or e-mail messages; but they don't scale up well.  The way the characters are constructed doesn't give me much room to play with stroke weight, so some hieroglyphs look chunky.  Granted, this is a typeface and not graphic art, but because they're designed for an 8 or 12 point, there's no option for fine details like fingers or eyes, and so things look utilitarian and over-simplified.  I'm thinking that I might improve this render if I'm able to bevel the hieroglyphs so they don't look quite so blocky.  Finally, these simply might look better engraved instead of embossed. 

Perhaps I can use photos of the Sarcophagus of Harkhebit for more finely crafted examples 



Thursday, February 18, 2021

Three Hares

 I've been fiddling with the Three Hares icon.

The trickiest part has been choosing a color combination that doesn't make the hares' ears disappear into the pattern.  


Thursday, February 04, 2021

That Moment When...

 ... you're working on creating heart shapes for a Valentine's Day project and the next thing you know, you've created a barn owl.



Friday, November 27, 2020

Squares, Stars, and Icosagons

On the creative front, I've come up with some holiday patterns in InkScape to use as backgrounds for when I'm telecommuting to work or holiday events.  I started with a square, then I duplicated them so I had five, then rotated them 72 degrees and grouped them into star patterns.  The star groups are either pointed upward or downward.  

Pentagonal designs tend to fall into two categories:  five or ten rays radiating from a central point, or rings of alternating units.  


The first design I came up with starts with a upward pointing star group; each of its five edges are joined with the edges of a downward pointing star group, which forms a ring around the center; each of the ten free edges on the downward pointing star groups are joined with an upward star, forming another ring, and the whole design keeps repeating that way.  What's interesting to me is way almond-shaped gaps open up in the network of star groups.


For the second design I wanted more complete circles (actually bevelled decagons or icosagons).  The decagons can only hold three star groups at most, with the result that a decagon can only overlap with at most only two other decagons.   In addition to the almond-shaped gaps, packing the decagons together creates a boat- or T-shaped gap and also a star-shaped gap in the arrangement of star groups--I arranged star groups in a way that would favor the creation of complete decagons and star gaps. 

The third design is the second one, only zoomed out a little.  Since this is all done with pentagonal symmetry, the designs end up looking like zilij or Penrose tilings.  I suppose I should go back into InkScape and change the colors; red and green are traditional for the winter holidays, but a number of people have commented that the contrasting hues make them dizzy.

Wednesday, October 07, 2020

Design Gone Wild

 I thought that I would try to make a seasonal design for the Ides of Autumn.  I was trying for something based on a crescent moon, but when I put in a second notch in the crescent, the result looked like something Batman would use to fight crime.  Or a sigil for Klingon Pagans.


I tried a few different designs, but they all looked like something for a Sapphic Pagan Metal Band called "Vagina Dentata."



I finally ended up with some wreath shapes that don't look too lethal.  




Much.





Monday, January 20, 2020

More Wiggling Polygons

Lately, I've been wiggling shapes together to try to make interesting tessellations.


I have to say every time I make a foray into this sort of design, I have to stop an appreciate 500 year old tile artists who managed to work out these patterns without computer assisted drawing (although, they do fudge shapes away from strict geometric polygons).


What typically happens is that I start in on a design that clicks into place on a local level but once I start to extend the repeats out -- or try rotating the whole pattern 120 degrees instead of 90 -- there's a fractional repeat that starts adding additional recursive shapes.


Theoretically, one could get around the difficulties of using both squares and triangles by designing a pattern with twelve-fold symmetry).


Looking at books on design, it seems the best strategy is to arrange squares and triangles and stars along radial guidelines and then wait for patterns to snap (mostly) into place.


Five-fold symmetry, as I've noted before, is very hard to tessalate unless one folds the two-dimensions of the workspace into three dimensions.  My intuition tells me that folding a pattern of ten stars into a regularly repeating pattern is somehow part of the same property of our universe that means you have to fold sound somehow if you want to make seven octaves and twelve fifths a unison.



Tuesday, April 24, 2018

Design, Ink, Gyms, and Writing

Friday (4/13) I was having a bad day... probably fallout from sleeplessness earlier in the week.  So I sat down with InkScape and played with hexagons and triangles and ended up with a cool design.


Saturday Mark and I went to drop off his Rotating Bonsai Watering Table Made from Recycled Materials project at a local venue for Earth Day.  Then we went to the Saturday Market and got healthy vegetables and a few unhealthy pastries.   The morning was still young, and the merchants were still setting up for the Saturday Market, which is kind of more interesting than the actual market.  As we were walking by, I stopped at one booth and then before I knew it, I was getting a henna tattoo.  It's a little lizard on my left forearm.  I have sternly told myself that I will not pretend that I got an inked tattoo on my butt when I go to work Monday.





Went to the gym Sunday:  about 30 minutes and 300 calories on the Nordic Elliptical (I think, there was some craziness with signing up for the machine).  Downstairs 13x(30+40+50)lbs on the pec fly.  13x(30+40+50)lbs on the deltoid fly.  13x(60+70+80)lbs on the lat pull-down.  3x13 Roman Chair curls.  3x13x35lbs barbell curl.  3x13x30lbs on the triceps pull-down.  2x8x7lbs on side and lateral pull ups.

I had to stop in the middle of the Roman Chair curls because I was laughing so hard; there's a song (which I kind of like) with the lyric "I found God in your body."  So the mental image I have is of course a flip on the "sacred homosexual sex" trope, only it's straight allies having the sex and as they're discovering God, they're having this, "No, wait; we have to bring this spiritual gift to our queer friends."  

I'm pretty sure most of the other gym patrons are used to me bursting out laughing in the middle of workouts....

Wednesday, June 01, 2016

Starry Stars!

Geometry makes me happy.

I suspect that it's soothing in a way that knitting is. In any case, I was fiddling around with InkScape, and discovered if you make a polygon, regular or otherwise, and turn the polygon object into a stroke, you can then turn the stroked polygon into guides.  It is so much easier to line up other polygons at guide intersections than it is to have to fiddle them into place manually.

Right away, making patterns like this one became much more easier, and much more precise.

This is the sort of design I'd like to turn into a wooden panel or something and hang three together.  Mark has forbidden me from turning the house into the Alhambra, so I guess I won't be filling the home's walls with these any time soon.

I'm not sure if this is a Persian rug design or the back of a playing card.  I like this pattern because it is stars fitting together in a regularly pleasing way.  And, purple!  Also, the negative blue spaces are all the same shape, which is pretty darn cool.  And if I unfocus my eyes, I can see all sorts of three-dimensional grids going on.

Friday, January 01, 2016

On the Eighth Day...

First design of the year...



Now, of course, I'm thinking I could basket weave this and import it into Blender...

Saturday, August 16, 2014

Three-D Printed Sake Mug!

It's here! It's here!

About six weeks ago, I designed a mug using Blender.  Well, okay -- the end result is a sake cup.  Anyway, I wanted to make something for my and Mark's tenth anniversary.

First I used Inkscape to make a shape that I could virtually spin into a mug.  I knew from past experience that when I tried to make objects in Blender with medium-complex topology that I got a lot of weird edges and orphan vertices and mesh faces.  Also, it's sometimes hard to know how thick everything is in Blender and easier to start out with a known proportion in Inkscape.

Once I had a shape I thought I could work with, I went into Blender.

I used Blender's spin function as a kind of lathe to make a mug and then I used some Boolean Nots to cut oval wholes in the side.  (I'm cutting out the parts where I goofed up and made things that didn't work.)

Then I went to the Shapeways web site and uploaded the build... and I discovered that ceramic materials are, um, kind of expensive (but not as expensive as bronze, steel or gold).  Ceramics are the only food-grade material they offer.

Then I waited.  And waited. And waited.


 When Shapeways told me the build was ready, I tracked the shipment.







When I got the package, it felt kind of light.







But I was excited!  There was a lot of packaging.  I was glad that the ceramic mug was so well protected.




There were about three layers of bubble wrap.  Getting smaller; the reality of how big six centemeters is began to sink in.  







And TADA!  The finished product in white.  This one's for Mark.  I'm getting a black one, which --although identical -- was harder to print and has been delayed.



I'm psyched that this came out so robustly, and yeah, it holds a tablespoon of liquid.  I'd envisioned sipping hot cocoa or maybe sake (if I drank sake) from it, but I'm pretty sure we're the proud owners of a very artistic medicine cup.

Sunday, May 18, 2014

Tile Design of the Day


Here you go, it's a design I came up with sometime last year.  I never did convert it into something the Silhouette cutter-plotter could use, partially because I wanted the spiral parts in the middles to line up better than they did.  Oh well, back to the drawing board, I suppose.

The design is chiral, so putting it together into a solid could be tricky.  I'd probably want to start with just a square surrounded by four triangles and then go from there.  That would get me a snub cube pretty easily.  And a cuboctahedron.