@niktemadur@lemmy.world to Ask Science@lemmy.worldEnglish • 9 months agoIf a 1D figure has length, a 2D figure has area, and a 3D figure has volume, are there names for what's inside 4D, 5D figures and so on?message-square17arrow-up1106
arrow-up1106message-squareIf a 1D figure has length, a 2D figure has area, and a 3D figure has volume, are there names for what's inside 4D, 5D figures and so on?@niktemadur@lemmy.world to Ask Science@lemmy.worldEnglish • 9 months agomessage-square17
minus-square@mumblerfish@lemmy.worldlinkfedilinkEnglish44•edit-29 months agoYou’d just continue saying ‘volume’, alternatively ‘k-dimensional volume’ or ‘volume of the n-dimensional object’. Like for spheres: https://en.m.wikipedia.org/wiki/Volume_of_an_n-ball The n-dimensional volume of a Euclidean ball of radius R in n-dimensional Euclidean space is:[1]
minus-square@insufferableninja@lemdro.idlinkfedilinkEnglish24•9 months agoI’m going to start calling area “2-dimensional volume”
minus-square@mumblerfish@lemmy.worldlinkfedilinkEnglish19•9 months agoOnly if you also call length “1-dimensional volume”.
minus-square@Notyou@sopuli.xyzlinkfedilinkEnglish11•9 months agoWhat happens if I turn the dimensional volume up to 11?
minus-square@ironhydroxide@sh.itjust.workslinkfedilinkEnglish7•9 months agoWell if it’s in 1-dimensional space, then you have a line the length of 11 units.
minus-square@luciferofastora@lemmy.ziplinkfedilinkEnglish5•9 months agoWell, you could just make 10 higher and make that the highest
You’d just continue saying ‘volume’, alternatively ‘k-dimensional volume’ or ‘volume of the n-dimensional object’. Like for spheres: https://en.m.wikipedia.org/wiki/Volume_of_an_n-ball
I’m going to start calling area “2-dimensional volume”
Only if you also call length “1-dimensional volume”.
What happens if I turn the dimensional volume up to 11?
Well if it’s in 1-dimensional space, then you have a line the length of 11 units.
Well, you could just make 10 higher and make that the highest
“But- but this one goes to 11.”