String theory initially required a model of 'string' as having properties in 21 dimensions to fit with the standard model and explain quantum phenomena. This was subsequently simplified to the point that only 11 dimensions were required. It has since been simplified again so that only 4 dimensions are required.
Those dimensions 5-10 (or 5-11) depend on the premise that the fourth dimension is time, which is not agreed upon. Some theorists say time does not exist, while others say it is a component of spacetime rather than a distinct dimension. According to the 11-dimension theory, only 1-3 are spatial dimensions. This image represents a 3-D model of an object in 4 spatial dimensions (meaning length, width, depth, and something else we can't imagine).
sorry, i didn't see this. Most people refer to that principle of string theory as the ten dimensional theory, with 1-3 being spacial variants, 4-6 being temporal variants, and 7-9 being universal law variants, with 10 being a theoretical unknown quantum that works on a plane that we can't possibly conceive.
Everyone seems to be confused.
This is a two-dimensional representation of the three-dimensional shadow cast by a four-dimensional tesseract/hypercube.
*tactical facepalm*
The shape in the .gif is a representation (because 3D monitors are not common) of a shadow. Since the shadow is cast by a 4-D object, the shadow itself is 3-D (much like how shadows of 3-D objects are flat and 2-D).
There's a Wikipedia page on the 4-D object this is a shadow of. Just search for Tesseract or Hypercube.
There are 8 compartments in that shape.
All 8 compartments are perfect cubes.
All angles are 90 degrees.
The shape is rotating, not changing shape at all.