What are 4-D cube? (if u no, wat 'bout 5-d or 6-d)?
95192
In normal 3-D space, a cube can be described by {(x,y,z) where 0<=x<=1, 0<=y<=1, 0<=z<=1}\n\nIn normal 4-D space, it's {(x,y,z,w) where 0<=x<=1, 0<=y<=1, 0<=z<=1, 0<=w<=1}\n\nIn n-space, an n-cube can be represented by all n-dimentional vectors where the nth coordinate lies in the closed interval [0, 1].
526908
You never mentioned that there are smaller squares that make up this 5x5 shape. Therefore, the technical answer is one. For all we know...5x5 could be referring to inches or some other measurement.
992764
64.\n\n1 cubed = 1\n2 cubed =8\n3 cubed =27\n4 cubed =64\n5 cubed = 125 etc.
355582
As a previous poster mentioned... time is the fourth dimension.  You can easily visualize this when you imagine an object moving in three dimensional space.  The movement represents the fourth dimension.\n\nI think you are asking about a fifth dimension.\n\nPeople have mathematical models for up to eleven dimensions.  I suppose that a person who knew the mathematical models for these dimensions could imagine them visually.
215797
To 'square' a number means to multiply it by itself.\nexample: 4 squared = 4 X 4\n\nTo 'cube' a number is to multiply it by itself again after squaring it.\nexample: 4 cubed = 4 X 4 X 4
749059
It's depicted as planes, but it really is 4-dimensional. It's a lot of planes, in different positions.\n\nI can guess that the 4th dimension is chaotic... that means that the slightest movement in the 4th dimensions can make you wind up somewhere completely different, sort of like a fractal.
436500
I like to add conceptual dimensions like color, (red, green, and blue each get one) temperature, pitch, volume, etc. Then the nine dimensional origin (0,0,0,0,0,0,0,0,0) would be a point located at the center of the 3-D grid colored 50% grey at zero degrees centigrade exhibiting middle C at zero decibels.\n\nI could also imagine extra dimensions represented in the form of trajectories, but more often than not I am thinking in the terms above.
633030
Yeah, we can't even envision what a 5D world would be like (here I'm talking four coordinate and one spatial dimensions).  Seriously, can you seriously envision what the equivalent of a sphere would be in 5D?  All points equidistant from a given point, but we have no idea how to "view" it in our minds.  However, we can use definitions and theorems to prove things about the other dimensions via differential geometry.  That's what is so incredible/awesome about math.\n\nBy the way, the 5D equivalent of a sphere (or 4D coordinate space equivalent) is called a hypersphere.  Go figure....
441947
pentagon DUH! lol sry (Hexagon is SIX!)im in geometry rite now so yea
600049
The three dimensions they are most likely talking about are the x,y, and z planes in space. Time is the fourth dimension, and there could be more after that. read stephen hawkings book A Brief History of Time. He explains how to conceptualize dimensions in your head very well.
586493
Quadrilateral..........D is the correct answer.....
1037406
1st cube: 0, 1, 2, 3, 4, 5\n2nd cube: 0, 1, 2, 6, 7, 8\n\nThe 6 on the 2nd cube can be inverted to make 9.\n\nBTW, no cube can be left out. This is the only way to make sure of that.
462771
They're polyhedrons.  The 5 types are:  Tetrahedron (a 3-d figure with 4 equilateral triangle faces, 4 vertices, & 6 edges); Cube (a 3-d figure with 6 square faces, 4 vertices, & 12 edges); Octahedron (a 3-d figure with 8 equilateral triangle faces, 6 vertices, & 12 edges)); Dodecahedron (a 3-d figure with 12 regular pentagonal faces, 20 vertices, & 30 edges); and Icosahedron (a 3-d figure with 20 equilateral triangle faces, 12 vertices, & 30 edges).
598308
As a 4D cube can be expressed mathmatically, an algorithm can be written that will display it on a 2 dimensional computer screen.  Displaying the figure is one thing, interpreting and understanding a 4D figure displayed on a 2D screen with a brain that can only comprehend 3 dimensions is something else entirely.
978615
a polygon with 5 sides is a pentagon.\n\nthis has two right angles so it would look like the picture of a basic drawing of a house.   see the pic of the house attached.\n\nhttp://www.thestationerystudio.com/index.cfm/fuseaction/catalog.viewProduct/productId/5214
1085259
You need to get a little more specific in terms of what kind of "3d equivalent" you want.  Two kinds of 3d solids you can form easily from 2d polygons (closed shapes made of line segments) are prisms and pyramids.  You make a prism of any 2d shape by taking 2 copies of the flat shape, one above the other, and connecting the corresponding vertices (corners) with edges (lines).  From this perspective, a cube, is a square prism.  A triangular prism looks a little like a tent, with two triangles (top and bottom) and three rectangles or squares around the sides.  To make a pyramid, choose any 2d shape as the base, and then a point above the base as the top, and radiate edges down from the top to all the base's corners.  There are other "3d equivalents", so if you're thinking of something else, let me/us know.\n\nYou also need to be more specific about what kind(s) of sides interest you: edges (1d lines) or faces (2d flat surfaces).  The "sides" of a 2d shape are all edges, but 3d shapes like cubes have both edges and faces (a cube has 12 edges and 6 faces).  Any prism made from a polygon with N "sides" (edges) will have 3N edges (N on the top, N on the bottom, and N more connecting top and bottom) and N+2 faces (N around the sides plus top and bottom).  Any pyramid made from a polygon with N "sides" (edges) will have 2N edges (N around the base and N more reaching up to the top point) and N+1 faces (N around the sides plus the base).\n\nDoes this do it?
805518
These numbers are cubes. 1 cubed (1 x 1 x 1) is 1, 2 cubed (2 x 2 x 2) is 8, 3 cubed (3 x 3 x 3) is 27, and 4 (4 x 4 x 4) cubed is 64. Therefore, the next number is 125 or 5 cubed (5 x 5 x 5). This pattern continues with 6 cubed, 7 cubed, etc.