I’m looking for some feedback on a design.
A friend of mine got a sine and cosine tattooed around their ankle. She’s geometry teacher so she’s got a strange fascination with mathematical shapes
I am trying to figure out how I could bring that tattoo into the 3rd dimension for her office. I think I’ve done a pretty decent job on the waves but I’m not entirely sold on the base…if anyone has suggestions, I’m all ears
The waves have and outer and inner id that follows a sine wave. The planar cross section also has the same sine wave pressed into it. Twist one to make is a cosine and offset them to give some visual interest.
The washers are held apart by 1mmX12mm stainless steel pins, one for each cross over of the waves. Located at the points where the planes are closest.
The rod is just clear glass, attachment to the waves is not decided yet. Attachment to the base will just be embedded in the wooden base with a gasket or two.
The “eye” on the of the base around the glass rod is a projection of the waves above, taken at the cross section of the waves where the rod intersects them. These are just going to be inlayed.
Walnut base with the same number of points as periods in the sine waves (7, this is also the number of periods around her ankle tattoo)
The plan for manufacturing the waves currently is to either 3d print or mill an aluminum press and die. These are fairly shallow curves in a relatively thin metal sheet so it should be doable. This lets me get the depth of the planar waves without needing full thickness raw stock and a whoooooole lot of material removal.
This is important because the metal is going to be brass, not cheap to get in thickness.
The material of choice is brass because I’ve meaning to try out a local jeweler’s precious metal plating service. One will be gold plated, the other in some white/silver metal.
That’s probably too many words about it, here’s the gallery of renders
If she’s a geometry teacher, maybe make the base one of the Platonic Solids, or a portion of one? Maybe the top third of a dodecahedron or icosahedron? The triangles of the icosahedron go well with the sine and cosine wave functions.
I’d be a bit concerned about that clear plastic joint with the base considering the weight of the base. Think about it falling off a desk. Which brings up the next.
My thoughts on the base were somewhat historical (and perhaps hysterical at the same time! ) It reminds me of a tree or a microphone, because of the height.
Also, the base would take up much less room on the desktop/shelf if it were made from the basic shaped rectangle.
Or, since there’s this relationship of the sine and cosine with a circle …
One could even apply a name to the side of it! ( Yes, I did warn you about hysterics! )
Perhaps bring the object down to the base with a much shorter clear plastic tube?
With some ingenuity, one could turn the vertical into a lava lamp! Or at least light it with LEDs.
I like the top third of a triangle idea, I’ll model it up if I decide to keep an angled base.
I had thought about just a circle, the relation being self evident, but it was a tad too simple. Thinking through it though, this might be nice as a subtly engraved unit circle. Maybe not even filled/colored, you’ll just notice it up close.
I’ll model this up next.
The rod I’m not too concerned about, I hadn’t thought about it falling off her desk though. A glass rod feels much higher quality than plastic but shattered glass is no fun. Luckily the rod is meant to be easily swapped out, so I can provide a plastic and glass one so she can decide the best for her environment. Good call out.
Still not sure about the rod length yet either, that might end up being some proportional relationship to PI or something silly.
) It reminds me of a tree or a microphone, because of the height.