Dull Men's Club
An unofficial chapter of the popular Dull Men's Club.
1. Relevant commentary on your own dull life. Posts should be about your own dull, lived experience. This is our most important rule. Direct questions, random thoughts, comment baiting, advice seeking, many uses of "discuss" rarely comply with this rule.
2. Original, Fresh, Meaningful Content.
3. Avoid repetitive topics.
4. This is not a search engine or advice forum.
Use a search engine, a tradesperson, Reddit, friends, a specialist Facebook group, apps, Wikipedia, an AI chat, a reverse image search etc. to answer simple questions, identify objects or get advice. We accept very few questions, and they must be over topics much more difficult than what is easily discoverable with a search. Also see rule 1, “comment baiting”.
5. Keep it dull. If it puts us to sleep, it’s on the right track. Examples of likely not dull: jokes, gross stuff (including toes), politics, religion, royalty, illness or injury, killing things for fun, or promotional content. Feel free to post these elsewhere.
6. Not hate speech, sexism, or bullying No sexism, hate speech, degrading or excessively foul language, or other harmful language. No othering or dehumanizing of anyone or negativity towards any gender identity.
7. Proofread before posting. Use good grammar and punctuation. Avoid useless phrases. Some examples: - starting a post with "So" - starting a post with pointless phrases, like "I hope this is allowed" or “this is my first post” Only share good quality, cropped images. Do not share screenshots of images; share the original image.
8. All polls must have an "Africa, by Toto" option. Why? Because we hear the drums echoing tonight.
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There's gotta be some math theorem about this.
What would this fall under, topology I'm guessing?
Probably just fairly bog standard geometry combined with some material science/engineering on the physical properties of the cardboard (such as how much it can compress/stretch)
Geometry: this problem more or less boils down to a 2d analysis since we need merely to look at a circular cross section. You could calculate the area each roll takes up by calculating the outer circle area minus the hole's area, then divide the hole area by the ring's area to get a theoretical maximum. This is assuming the material cannot stretch or compress. Not sure if this has a name, but it probably does.
Material science: Maybe you could measure the dimensions of a roll, stress test it in various ways, and re-measure the new dimensions to get a profile of how the cardboard warps. You could use that to get a better estimation of how much cardboard you can stuff into itself, but I'm not as sure on the details there.
Assuming each roll is a perfect cylinder and not conical at all.