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Odd numbered and if we let B|F be of orientation +1 and denote by -1 the orientation F|B we see any old configuration will have +1 as the sum of the orientations of the folds. In particular, Harry is never found out and harry can see Draco.

Odd numbered and if we let B|F be of orientation +1 and denote by -1 the orientation F|B we see any fold configuration will have +1 as the sum of the orientations of the folds. In particular, Harry is never found out and Harry can see Draco.

• if an observer looks that the Front side, then she does not see the first object behind the cloth and only sees the second object behind it.
• if an observer looks at the back side, then she will see the first object behind the cloth (i.e., looking at it from Back side it behaves like glass).

An effective cloak is one in which no one looking at harry can see Harry but Harry can see everything in front of him.

• if an observer looks at the Front side, then she does not see the first object behind the cloth and only sees the second object behind it.
• if an observer looks at the back side, then she will see the first object behind the cloth (i.e., looking at it from Back side it behaves like glass).

An effective cloak is one in which no one looking at Harry can see Harry but Harry can see everything in front of him.

A. So consider this

Professor Snape sees Draco and Draco sees Snape. Harry is invisible.

Draco-Malfoy sees Severus-Snape but Severus-Snape does not see Draco. Snape and Malfoy have figured out that an invisibility cloak is being used.

So how can we design an invisibility cloak that makes sure that Harry is not found out even if he runs. Use degree theory of course (and thus fixed point theory is important).

Odd numbered and if we let B|F be of orientation +1 and denote by -1 the orientation F|B we see any old configuration will have +1 as the sum of the orientations of the folds. In particular, Harry is never found out.

An effective cloak is one in which no one looking at harry can see Harry but Harry can see everything in front of him.

A. So consider this

Professor Snape sees Draco and Draco sees Snape. Harry is invisible and can see both Draco and Snape.

Draco-Malfoy sees Severus-Snape but Severus-Snape does not see Draco. Snape and Malfoy have figured out that an invisibility cloak is being used. Also Harry cannot see Draco; disaster.

So how can we design an invisibility cloak that makes sure that Harry is not found out even if he runs and that he can also see what's in front of him? Use degree theory, of course, (and thus fixed point theory is important).

Odd numbered and if we let B|F be of orientation +1 and denote by -1 the orientation F|B we see any old configuration will have +1 as the sum of the orientations of the folds. In particular, Harry is never found out and harry can see Draco.