@niktemadur to Ask ScienceEnglish • 4 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-up1106arrow-down13
arrow-up1103arrow-down1message-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 to Ask ScienceEnglish • 4 months agomessage-square17
minus-square@mumblerfishlinkEnglish44•edit-24 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@[email protected]linkfedilinkEnglish24•4 months agoI’m going to start calling area “2-dimensional volume”
minus-square@mumblerfishlinkEnglish19•4 months agoOnly if you also call length “1-dimensional volume”.
minus-square@[email protected]linkfedilinkEnglish11•4 months agoWhat happens if I turn the dimensional volume up to 11?
minus-square@[email protected]linkfedilinkEnglish7•4 months agoWell if it’s in 1-dimensional space, then you have a line the length of 11 units.
minus-square@[email protected]linkfedilinkEnglish5•4 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.”