niktemadur@lemmy.world to Ask Science@lemmy.worldEnglish · 2 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-squaremessage-square8fedilinkarrow-up160arrow-down11
arrow-up159arrow-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@lemmy.world to Ask Science@lemmy.worldEnglish · 2 months agomessage-square8fedilink
minus-squaremumblerfish@lemmy.worldlinkfedilinkEnglisharrow-up27·edit-22 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]
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