Does anyone know what the six symbols are on the sides of it. I'm making this in tinkercad and want to be able to hand it to my players

Can you use a Cubic Gate to teleport between two locations on the same plane? So if you press the prime material plane side of the cube to gate to a certain known location and you are on the prime material plane are you able to "gate" to that location on the Prime?

According to the wording in the spell Gate when you cast the spell "You conjure a portal linking an unoccupied space you can see within range to a precise location on a different plane of existence"(PHB 244). The secondary use of the Cubic Gate item that allows you to cast Plain Shift by pressing the button twice runs into the same issue of wording such as "..transported to a different plane of existence"(PHB 266).

That's the wording of the spells. The item description states: 

You can use an action to press one side of the cube to cast the gate spell with it, opening a portal to the plane keyed to that side. Alternatively, if you use an action to press one side twice, you can cast the plane shift spell (save DC 17) with the cube and transport the targets to the plane keyed to that side.

they key phrase being "opening a portal to the plane keyed to that side" and "transport the targets to the plane keyed to that side". If that side in question is the Prime and you are on the Prime, will it work? Does the item description override the spell description?

It doesn’t seem like you could teleport directly. You could use it to jump to another plane and then jump back to a different location on the prime material but you would have a bit of a margin for error on the return flight. DM’s could have all kinds of fun with this. Maybe you show up in the middle of a guard room, or plunge into the fortresses’ latrine.

A good one with this one, is to use it as a makeshift decanter of endless water. It takes a few days or hours to fill a square on a grid with the flask. On the other hand, a gate spell, linked to anyplace on the elemental plane of water creates a could replicate the greate salt lake in 11 days. You have an army of triton, or a favor from a dragon turtle? Good, because you can literally transform an entire battlefield to your advantage. Math below >>>.

500 foot by 20 foot in diameter cylinder of water, per initiative turn (6 seconds). 100pi*500 cubic feet, or ~157,079 cubic feet of water every six seconds, for a minute (area of a circle{gate, which is 10pi^2 or 100pi, 10 being the radius of gate} times {the speed of a falling object in 500 feet per 6 seconds, or the speed of a falling object in dnd). ~1,570790 cubic feet in total. With this magic item, you can do this thrice. On a good day, you could create a space of 1.5 million cubic yards of water. 1.5*11 equals 16.5 million cubic yards, which is five or take the volume of the great salt lake.

There are probably better estimates for speeds of falling objects, I think somewhere around 200 feet per second. I’m lazy though. This tactic is especially useful when you’ve raised a leviathan as a son, and gave him 20 levels in moon Druid.

Another good use for this one is a railgun. The acceleration rate of a falling object in dnd is either 500 feet per 6 seconds (the distance a falling object travels in a round) or 200 feet per seconds (a better approximate of 1 G). If an object is being accelerated at such a rate for a minute (duration of gate), it reaches either 5000 or 2000 feet per six seconds.

A crossbow bolt fired from a hand crossbow has a range of 120 feet, and it can travel at least that far in 6 seconds, and deals about 3 (d6) damage per hit. 120/3 is to 40, so therefore for every 40 feet, the average damage is one. Meaning if you used a realistic estimate for gravity, it would deal anyplace from 50 to 125 damage, per crossbow bolt. Weak.

We can go farther. A crossbow bolt weights about .075 pounds, we know this because 20 crossbow bolts weight 1.5 pounds. If we use a 18 pound pike, then we deal 240* our previous total. 30000 damage on average, or 12000 damage using our realistic gravity.

No amount of resistances is going to stop us ever. 

I made a Titan killer balista design. basically you make the front limbs out of adamantine.

Next you load in an adamantine bolt covered with purple worm poison ,and a potion of sharpness so you can overcome resistances.

Because of the strength of the limb, the draw strength will increase, unfortunently you might have to use a telekinesis just to draw the thing.

I did the math and something like this should do 44d10 + 12d6 + 3.

Already impressive, but we can do better. Have an assassin rouge (lvl 17) shoot it, which will quadruple the damage. 

GRAND TOTAL = 936 

Is there any way to change the plane settings after the cubic gate is made/found? (Other than bribing a DM)

In my first campaign, I died because my freaking teammates gave the new person a LEGENDARY item. 

P.S.   Me and someone else died :(

do you think the cube has other magical property's?

So basically the tesseract.

In the pictures, these are the symbols:

The top symbol is air celestia (looks like an A with a line on the bottom)

The right side is Bytopia (looks like an hourglass)

The front is Arborea (looks like a mountain)

Three great choices.

I wonder if the one with the Material Plane could take you to other planets like Ebberon, Theros, etc...

edit: it was celestia not air

Quote from Youbetterwork >>

I wonder if the one with the Material Plane could take you to other planets like Ebberon, Theros, etc...

A single press casts the gate spell, which states "You conjure a portal linking an unoccupied space you can see within range to a precise location on a different plane of existence.", so RAW it's entirely possible and within the capabilities of the cube to open a gate anywhere on the material plane, other planets included.

The two big caveats are:

1. Both gate and plane shift specifically state that they can only be opened to a different plane than the one you are currently on.  This means that RAW if you're already on the material plane, you would need to expend a charge to first travel to a different plane, and then expend another charge to come back to the material plane at a different location.
2. It doesn't specify if you or the DM gets to choose the precise location of gate, and your DM might just say those planets are off limits in your campaign, so you'd have to discuss with your DM.

Quote from IainWhinnery >>

So basically the tesseract

wich one?

Kinda reminds me of Mother boxes from DC, at least in the design. 

However I was curious on how other people would rule identifying this item, specifically the results of an identify spell. I personally would find it fascinating, both as a player and GM, if the spell only gave you an understanding of the mechanics, but not information on the different planes it would send you to. So researching the symbols, and potentially experimenting with the cube would give lots of fodder for future stories.

Quote from alucardwoa >>

Does anyone know what the six symbols are on the sides of it. I'm making this in tinkercad and want to be able to hand it to my players

You'll find them under the Outer Planes section: Appendix C: The Planes of Existence - Player's Handbook - Sources - D&D Beyond (dndbeyond.com), or at the back of the PHB.

This item was given to my level 6 sorcerer by another player. The item has no charges on my sheet and I don't see a way to re charge it. 

I think the top one is celestia.