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Hollowness Infographic

Flashlight237

VS Battles
Calculation Group
4,913
2,828
So here's the deal. I made an infographic as a ways to show people examples of certain levels of hollowness:
JOManRT.png

Due to the variable nature of other important shapes such as cylinders, rectangular prisms, pyramids, cones, etc, I've only elected to include the shapes that have equal sides regardless of how big or small you make them: cubes (presented in both 2D and 3D) and spheres. Each red area indicating hollowness is measured specifically to where an individual dimension (the radius of the sphere or the length of one side of a cube) would theoretically match what is needed to attain a certain volume. I picked the most commonly used hollowness values here, which are 60%, 70%, 80%, and 90%.

The goal of this thread here is to, well, just implement this hollowness infographic into the Calculations page. This would have no effect on any calculations made prior to this infographic, but would better influence future hollowness-based calculations and calculation revisions made with a visual rule-of-thumb. After all, a picture is worth a thousand words or something like that.
 
Without checking their accuracy personally, this is fine in concept. The presence of random images on a page entirely of text may be jarring, though, putting them in as links would be better, I think.
 
This neat, i can get behind it.

Tbh, if we do something like this, may as well list examples for every interval of 10.
 
Without checking their accuracy personally, this is fine in concept. The presence of random images on a page entirely of text may be jarring, though, putting them in as links would be better, I think.
I had to do some working back to get this one. For example, let's use the 70% guy. I drawn each sphere at 270 px in diameter, so it would be as such:

4/3*π*(270/2)³=10305994.7 cubic pixels
Volume of hollow space: 10305994.7*0.7=7214196.29 cubic pixels
Radius of hollow space: ³√(7214196.29*3/4/π)=119.8670402 pixels
Diameter of hollow space: 119.8670402*2=239.7340805 pixels

The diameter is more important for my purpose since, well, I drew these things using vector graphics.
This neat, i can get behind it.

Tbh, if we do something like this, may as well list examples for every interval of 10.
I suppose, I mean pumpkins look more solid than hollow despite being hollow for example. My eyes believe they're around 30-50% hollow based on Google Image results of pumpkin halves.
 
Is that a Total Drama font?

This looks like a nice concept. But would it be possible for models of 50% hollowness and less (In multiples of 10%) to be made for variety on what hollowness could be used when assuming such?
 
I went ahead and made hollowness visuals for 10% to 50% due to popular demand. I also did 1% and 5% just because I knew somehow that people wouldn't zip it if I didn't.:
2REbjvE.png
 
I mean, hey, some people are visual learners, so that should be an added benefit to the infographic too.
 
Thank you very much to everybody who helped out here. 🙏🙂❤️

Are you willing to add this information to the appropriate page section please, @DontTalkDT ? 🙏
 
I think this would be nice to add under a collapsible. Maybe with a few sentences above it briefly explaining the use, something like:

Sometimes we can measure the external dimensions of an object, but can't so easily measure the details on the inside, with complicated objects such as machines and houses. In these cases, one should try to estimate the hollowness, multiplying the external volume by one minus the hollowness. Visuals to help estimate hollowness can be found below.
 
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