Deltoidal Trihexagonal Tiling + Stars = Crazy Delicious

Tiled this out on a larger scale, thanks to some 1/64 paper folded by Mawelucky. (thanks again!)


As previously stated here, this is a "deltoidal trihexagonal + quasiregular rhombic tiling". ouch. that's a mouthful, isn't it?


I like it because it has my favorite shape (the delta rhomboid- looks like a strange piece of pie) and one of my other favorite shapes, a 6 pointed star made up of diamonds.


the reverse has another shape I like, which is a pentagon in the form factor of a regular hexagon, but with one side pulled out into a point.


extending this pattern to a larger scale (and a full tiling) required a little bit of changing; I oriented all the hexagonal twists (at the center of the stars) in one direction, and made some other pleat adjustments accordingly. So there's a good amount of rotational symmetry here around the central large hexagon twists, as well as different rotational symmetry around the smaller hexagon twists.


The pictures for this fold didn't turn out terribly well, so hopefully I'll come back at a later date and replace them with improved shots taken at home.


Let me know what you think!




  • Eric Gjerde 9y

  • mawelucky 9y

    Good to see a new work from you :-)
  • Eric Gjerde 9y

    yeah, it's been a while. I've had a lot of stuff going on that's made it difficult to sit down and spend any time folding.

    I'm trying to get back into folding- I've done a number of exploratory folds lately, refining some ideas, but nothing that is particularly worth sharing.

    when I first started doing tessellations I would share photos of anything and everything- now I tend to just take a few final shots and share them, and not show all the halfway points, dead ends, and other mistakes I have made along the way. I don't know if that's good or bad, to be honest. but I suppose part of it is that I have a better idea of what I'm doing these days, so I feel less inclined to stop and document the process as much- I just want to keep folding and finish what I'm doing.

    This piece was difficult to fold- the larger paper, combined with the fact that almost all of the twists required lots of squashing and manipulation, made it rather complicated to do.

    Still, looking at it right now (it's on my desk at work) I have a hard time believing it's folded from one sheet of paper.
  • Gila Oren 9y

    WOW !!beautifull!!
  • Eric Gjerde 9y

    thanks, gila. I appreciate your comments.
  • Mélisande* PRO 9y

    Delicious, yes, amazingly sophisticated too. Both sides worth looking at.

    I understand now why you didn't show any new things for a while, this one needed a lot of time to fold, I guess.

    About dead ends and "mistakes". We are not here in an art gallery or museum where you could show only perfect things.
    What you consider a dead end can be a good starting point for someone else.

    I wish you a lot of mistakes, it's part of the creative process. And I like to see them, if it can make you feel any better.
  • Philip Chapman-Bell PRO 9y

    I am very taken with the star-within-a-honeycomb motif. It is evocative of industry. (The virtue, that is, not the economic sector.)

    And I'm with Mélisande* on the dead ends. Every cul-de-sac is an on-ramp to somewhere else.
  • Eric Gjerde 9y

    well, yes... there is that, everyone learns from mistakes or ideas. you are both right about that.

    Part of my delay lately has been more work related, and less about how long it takes to fold something... this particular design took about 3 days of folding, for perhaps a total of 6 hours all together.

    the worst part was carrying it around in it's partially folded, crumpled state- that was a pain.

    I'll make an effort to post some of my "failed ideas" from the last few months, just to share them. a lot more of my ideas take place inside my head, and are more difficult to render as folded objects now... more work involved!

    industry is an interesting concept, Oschene... I'll have to think on that. I'd love to fold something as an album cover for a band like Kraftwerk or something similar.

    Soviet-era propaganda posters are some of my favorite artwork, oddly enough. I like gears and other such things.
  • Thomas Millet 9y

  • *Sherry* PRO 9y

    Beautiful work!
  • Eric Gjerde 9y

    Thank you!
  • Kevin Chiang 9y

    now i know where your profile picture is from...hehehehe
  • permaculture 9y

    Yes, it's as crazy delicious as Mr. Pibb and Red Vines :)
  • Eric Gjerde 9y

    You got it, permaculture :)
  • fr1zz 8y

    this is spectacular - just like many many of your origami pics! :)
  • Max Goodway 8y

    great work
  • Raúl M. Vicente 6y

46 faves
Taken on February 10, 2006
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