How can you put 5 identical particles in space with equal distance to each other?

Answer 1

Geometrically possible....solid geometry i mean

Arrange them as a "regular pentahedron"

5 identical particles in space with equal distance to each other in case of aregular pentahedron.

Answer 2

It's actually impossible in 3 dimensions. All of the other answers will leave at least two of the particles further away from each other than two other particles. For example, in a square or a pentagon, a particle will be closer to its neighbors than to the particles on the opposite sides.

The most particles you can do this with is 4, and that's a tetrahedron. Basically, take a cube and put them in two corners on one face, and then on the opposite face, put the other two particles in the corners NOT directly below/above the corners you placed the first two in.

Answer 3

I don't get the question, but all of them an equal distance from each other? I don't think it's possible... the pentagon means that only some of the points are equidistant, and the square with a point in the center means the diagonals going through the center will never equal the sides of the square. I don't think it's possible.

Answer 4

Not possible in 3D..
In 3D u can arrange a maximum of 4 particles equidistant from one another..not 5.

Should be possible in 4D.

Answer 5

i think this can be done by placing the 4 particles in a square formation. In the center, at intersection of the diagonals, place the fifth particle.

I hope this helps.

Answer 6

Put them in the corners of a pentagon.

Answer 7

Not possible in 3D, requires 4D

Answer 8

Not easy to set this, but can be done.