ThetaOfQuicksandFun [2012-01-08 01:00:29 +0000 UTC]
Yes a 4-dimentional cube is called a Tesseract, a 5-dimentional one is likewise called a Penteract, 6D a Hexeract, 7D a Hepteract, an Octoract (an 8D cube), a Nonaract (a 9D cube), up to Dekaract being 10D andο»Ώ maybe Undekaract (a 11D cube), you could after this generate actual or possible hypercubes like Hectaract (a 100D cube), Kiloract (a 1,000D cube), Megaract (a 1,000,000D cube), Gigaract (a 1,000,000,000D cube), Teraract (a 1,000,000,000,000D cube), Petaract (a 10^15D cube), Exaract (a 10^18D cube), Zettaract (a 10^21D cube), Yattaract (a 10^24D cube), Xonaract (a 10^27D cube), Wekaract (a 10^30D cube), Yundaract (a 10^33D cube), Udaract (a 10^36D cube), Tredaract (a 10^39D cube), Sortaract (a 10^42D cube), Rintaract (a 10^45D cube), Quexaract (a 10^48D cube), Peptaract (a 10^51D cube), Ocharact (a 10^54D cube), Nenaract (a 10^57D cube), Mingaract (a 10^60D cube), Lumaract (a 10^63D cube), Googaract (a cube with a Googol dimentions, a Googol is 10^100), Plataract (a cube with a Platillion dimentions, a Platillion is 10^6,000), Triaract (a cube with a Triacontillion dimentions, a Triacontillion is 10^3x10^90+3), Vekaract (a cube with a Vekillion dimentions, a Vekillion is 10^3x10^3x10^30+3), Twentaract (a cube with a Twentillion dimentions, a Twentillion is 10^3x10^3x10^60+3), Totaract (a cube with a Totillion dimentions, a Totillion is 10^(3x10^(3x10^1200) +3)), Yaliract (a cube with a Yalillion dimentions, a Yalillion is 10^(3x10^(3x10^24,000) +3)), Betiract (a cube with a Betillion dimentions, a Betillion is 10^(3x10^(3x10^3octillion) +3)), Giggaract (a cube with a Giggol dimentions, a Giggol is 10 Tetrated to 100), Goggaract (a cube with a Goggol dimentions, a Goggol is {10,100,8}), Biggaract (a cube with a Biggol dimentions, a Biggol is {10,10,100,2}) and so on even.
This could do both ways in a kind of X axis.
What if you had negative dimentions, this may not be really possible but regular dimentions would be postive and there is a negative category of numbers for many other concepts so what would the negative dimentions be? Quadaract (a -4D cube), Quintaract (a -5D cube), Sexaract (a -6D cube), Septaract (a -7D cube), Negative Octoract (a -8D cube), Novaract (a -9D cube), Deciract (a -10D cube), Centiract (a -100D cube), Milliract (a -1,000D cube), Microract (a -1,000,000D cube), Nanaract (a -1,000,000,000D cube), Picoract (a -1,000,000,000,000D cube), Femptoract (a 10^-15D cube), Attoract (a 10^-18D cube), Zeptoract (a 10^-21D cube), Yoctoract (a 10^-24D cube), Xontoract (a 10^-27D cube), Wektoract (a 10^-30D cube), Vunktoract (a 10^-33D cube), Untoract (a 10^-36D cube), Trektoract (a 10^-39D cube), Sotroract (a 10^-42D cube) and so on.
Thank you for this.
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