A short project inspired by a Holly Krieger tweet

Saw this tweet from Holly Krieger this morning:

and, oh bother, the embedded tweet isn’t coming through. Here it is:

I thought it would be fun to talk about some sort of similar shape and stumbled on this neat design by eduardoviruena on Thingiverse:

eduardoviruena’s “Sierpinski cubes” on Thingiverse

sierpinski-copy

I sent the print to the printer as I was running out the door. Unfortunately in my haste I made the print much smaller than I intended. Oh well . . . we still got to have a fun conversation.

Here’s what he had to say about the eduardoviruena’s “Sierpinski cubes” – I was really interested in his description of how to make this shape:

Because the print was so small I wanted to see if he had any other thoughts when he saw a larger version on the screen:

I’m really excited to do more 3d printing projects like this one – hopefully giving kids shapes like this to play with will help them see a fun and exciting side of math 🙂

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Comments

2 Comments so far. Leave a comment below.
  1. mmmh… it was a long time ago. It was part of my “recursive polyhedra” (or, as a good friend of mine called them: fractalhedra”.

    The Sierpinski cube of order 1 is just a cube.
    The Sierpinski cube of order n+1 is a big cube and three Sierpinski cubes of order n, one on the top of the cube, another to the right and the last one to the left…

    I think that there is a description of the Sierpinki cube in my site
    http://michelle.esfm.ipn.mx

  2. it is still working!
    Go to the link
    http://michelle.esfm.ipn.mx/~mrspock/3DLS/sierpcube3/sierpcube3.txt
    Copy the description and paste at the dialog box at:
    http://michelle.esfm.ipn.mx/~mrspock/3DLS/
    Change the line saying: “rules 3” by “rules 5” or whatever the order of the cube you want to produce.
    Press the buttom “send” and you’ll get a “VRML” file that you can change to STL with the open source program: meshlab

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