FREE SHIPPING on $25+ orders of your
uploaded designs with code MAKEITYOURS.
Details

<div class="sw-email-modal sw--display-block"> <div id="emailModalContentContainer"> <span class="noty_close sw--position-absolute sw--position-right sw--padding-top-3 sw--padding-right-3 icon-cancel sw--opacity-8"></span> <div class="sw-row"> <div class="sw-email-modal__copy sw--position-relative sw--display-block sw--padding-vert-4"> <p class="last sw--font-size-16">Sign up to get email alerts on discount promotions. There might be one very soon...</p> <form action="/register/email-signup" class="sw-email-modal__signup sw--position-relative" data-confirmation="emailConfirmationModal" data-sw-email-modal-form> <input type="text" class="sw-email-modal__signup-input sw--input-height__medium" placeholder="Email address" name="email" /> <input type="hidden" class="sw-email-modal__signup-input" name="location" value="/product/QZ6MZXQGY/re-leaf" /> <input type="hidden" class="sw-email-modal__signup-input" name="confirmation" value="emailConfirmationModal" /> <input type="submit" class="btn-primary" value="Sign Up" /> <div id="emailModalFormError" class="text-error" style="display:none"></div> </form> </div> </div> </div>

Click and drag to rotate
Re:Leaf 3d printed

DIGITAL PREVIEW
Not a Photo

Raw Brass
Re:Leaf 3d printed
Re:Leaf 3d printed

DIGITAL PREVIEW
Not a Photo

Re:Leaf

OVERVIEW
  • 3D printed in Raw Brass: Pure brass in its natural state with a slightly rough antique finish.
  • Be the first to try. Learn more
  • This product is intended for mature audiences.
$37.25
1
0
Share Link
Embed This Product

Product Description

This design is inspired by the appearance of plant cells under a microscope.

Counting the thin, oval-shaped holes in this object in three separate ways reveals some of the fundamental equations underlying the Platonic solids:

Each face contains three ovals (and every oval belongs to exactly one face), giving a total of 3F. There are two ovals per edge, giving a total of 2E. Each vertex is surrounded by five ovals (and every oval belongs to exactly one vertex), giving a total of 5V ovals. 

For a general Platonic solid whose faces have p sides with q faces meeting at each vertex, these equations become pF = 2E = qV. Combined with the Euler characteristic, these equations are instrumental in one proof that the five familiar Platonic solids are in fact the only possible ones. 

What's in the Box
INCM
Re:Leaf
Raw Brass
Width
2.6 cm
Height
2.6 cm
Depth
2.6 cm

Sign In or Join to comment.
 
 
Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.