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a

b

d

c

g

h

f

e

It is now an

Untwisted Circle Cube

a

b

c

e

d

f

g

h

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So are these two cubes really the same? Do both cubes have the same connectivity? In each cube A is connected to B,C, and E; B is connected to A,D, and F; etc. They are essentially the same cube.