120-Cell in the Ball Model

120-Cell in the Ball Model

I'm following Scott Vorthmann's lead and trying out Sketchfab :)

Here is the 120-cell in the ball (fisheye) model of spherical geometry. I made this to print on Shapeways, but the outer edges end up very thin and I'm getting wall thickness warnings. Even if I bump up the edge thickness, the edges remain very thin in the radial direction because of the model. Shapeways didn't outright reject, so maybe it's worth a try to print this anyway.
https://skfb.ly/PGqw

Comments

  1. Btw Scott Vorthmann, I'm wondering if the vertices of the 120-Cell in the ball model lie in the golden field, and might work decently in zome. I need to try it out!

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  2. Roice Nelson the vertices must be in the field, if you do all operations within it. Let's talk later about the operations.

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  3. What a fecund mind you have, Roice! I suspect it's worth printing because of its interesting physical properties. Maybe it bounces very efficiently or is surprisingly rugged.

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  4. Thanks for the compliment Melinda Green. I decided to go ahead and order after reading your comment. Luckily they have 20% off this weekend too :D Here's hoping it turns out to be printable!

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  5. Roice Nelson
    I don't know if they still support the "print-it-anyway" option but I had used that to see what living hinges looked like at varying thicknesses less than 1mm. (Answer, anything less than 0.5mm gets clamped to 0.5mm) Please report your result.

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  6. Update: The model passed manual review and is off to the printers! I'll be sure to post pictures of the result when it arrives.

    I went ahead and made the model public with no markup on my shapeways shop.
    http://shpws.me/Mllz

    I printed at approximately 9cm in diameter, and I didn't optimize for cost (using hollowing for example, like Henry and I did on some of our hyperbolic models). It's pricey, at almost $90, so sneaking in with the 20% off coupon this weekend was nice.

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  7. Melinda Green, this showed up today, and it's great! A really nice way to study the 120-Cell. I put a couple photos here:

    https://goo.gl/photos/8bkvfQNLGtHP4p6n9

    The thin outer edges flex a little when pushed, but are plenty strong. Their curvature seems to help the rigidity.

    There was a small issue with the model however (a stray ribbon of material that isn't supposed to be there), which I've written shapeways about. I want to fix that before anyone orders, so I temporarily disabled it on the shop.

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  8. Roice Nelson
    Cool! So what does it feel like? Does it bounce or wiggle or show any surprising properties? It looks great. I wonder if this is the first time it's existed in this galaxy. :-)

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