Describing a "Cube"

What's the deal with "3 x 3 x 3 cube" or "5 x 5 x 5 cube" and the like?

There's the "me too", absolutely done to death aspect, but...
afraid people can't grasp the implications of a "27 pixel cube"?

Slow day huh? :wink:

Maybe you are better than math than me, but I would be sitting there for a second thinking “ok, what’s the cube root of 27?” or “what’s the cube root of 125?”; and as the number became larger…well.

Maybe, rather than “3x3x3” or “5x5x5” - calling it a “3 cube” or a “5 cube” or an “n-cube” - would be the better option? Conveys the size needed per side, and no difficult factorization needed…

:smiley:

If I were to say I was making a 729 pixel cube, I think folks would be a bit confused.
9x9x9 is pretty clear tho.

And if it’s an RGB cube, that’s more like a 9x9x27, no?

CrossRoads:
And if it's an RGB cube, that's more like a 9x9x27, no?

no, that would be 9x9x9x3 :wink:

retrolefty:

CrossRoads:
And if it's an RGB cube, that's more like a 9x9x27, no?

no, that would be 9x9x9x3 :wink:

no no, redo the math :wink:

9 x 9 x 9 x 2 x 2 x 2 - every colour can be on/off => mixed colors => 5.832 states

If every colour of the RGB can have more than on/off - multiple intensities the number grows fast

9 x 9 x 9 x 256 (e.g. 3-3-2 bits colour scheme) => 186.624 states

3-3-2 bits colour scheme = [bbrrrggg] = blue 0..3, red 0..7 green 0..7
needs some (un)packing but that is mask & shift

Maybe better would be of LEDs per layer with separate control & common control, so my 9x9x9 is really a 81 anode x 9 cathode, to describe the control circuit it needs.

A 3x3x3RGB could then be 27 anode x 3 cathode.

A 5 level RGB, 75 anode x 5 cathode.

CrossRoads:
And if it's an RGB cube, that's more like a 9x9x27, no?

They still occupy the same pixel (or point).

retrolefty:
no, that would be 9x9x9x3 :wink:

I think that would be a "fourth dimension".

Some representations of polyhedrons would warrant calling out all three, but a "cube" is self-defining (yes, it's that "cube root" thing.)

By the way, there is such a thing as a tesseract...

It seems you meant that as a contradiction, but isn't it a validation.

"the tesseract, also called an 8-cell or regular octachoron or cubic prism, is the four-dimensional analog of the cube; the tesseract is to the cube as the cube is to the square."

[Admittedly, I won't be splitting the atom any time soon.]

It must be a slow day.

XD

Paul__B:
It must be a slow day.

XD

Well two days for this thread. :wink: