What is an isometric cube?
Is that an isometric cube in the picture? And if so, is it a real cube?
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The picture is not a cube because not all sides are the same length.
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With a cube, all twelve edges are the same length.
Wrong.
The edges are all the same length,
Yes, of course, this is an isometric cube. You could take a real cube in your hand.
https://de.wikipedia.org/wiki/isometry
But if the isometric cube puts a cube as it would look in real terms you would put it in this position?
No. Just read the Wikipedia article! With our eyes a perspective distortion or recognizable in the depth of space.
The type of 2-dimensional representation of the cube is an isometry. "Isometric cube" I wouldn't call it.