Vrijeme: 11:06
Četverodimenzionalna komba | 4D Combinatorics #4
Kao svoju posljednju četverodimenzionalnu konstrukciju, Karlo je ponovno počeo razmišljati o
hiperkocki.
hiperkocki.Karla sada konkretno zanima, koliko različitih hiper-pravokutnika (hiperkocaka koje nemaju nužno sve stranice jednakih duljina) se nalazi u hiperkocki koju promatra.
Note: hiper-četverokuti s, naprimijer, dimenzijama
i
se uzimaju kao isti hiper-četverokut.
As his final four-dimensional construction, Karlo once again began thinking about a
hypercube.
hypercube.Karlo is specifically interested in the following: how many distinct hyper-rectangles (hypercubes which do not necessarily have all edges of equal length) are contained within the hypercube he is observing?
Note. Hyper-rectangles with dimensions, for example,
and
are considered the same hyper-rectangle.