The sphere and ellipsoid have both an inside and an outside.?

Question

Google "one-sided surface" and tell us about the mobius strip and/or the klein bottle.

Answer 1

The mobius strip is a strip of paper that has been twisted and then joined at the ends. The result is a shape with one side. If you trace it with your finger, you will see that all area can be covered in one trace, hence it only has one side. You can do some pretty cool things with it, like if you cut it in half it forms two joined mobius strips.

Answer 2

a mobius strip is a two dimensional surface "immersed" in three dimensional space. you can construct a representation of one to study it using a strip of paper. simply give the strip a one-half twist, then attach the ends together. you will get a bracelet with half a twist in it. notice that there is exactly one face (and exactly one edge). you can verify this by marking a point on the surface and tracing your finger along the surface starting at this point. you will, at some point, touch every point on the surface, and arrive at your point.



a klein bottle is kind of like a three dimensional version of a mobius strip, immersed in four dimensional space. it can be constructed by attaching two mirror image mobius strips edge to edge. of course, you can't actually construct a representation of a klein bottle like you can a mobius strip, because it requires four spacial dimensions. you can make a rough model of it in three dimensions, though. that would just give you an idea of what the klein bottle is, and doesnt tell you about its true topology. ok, on to my best description. imagine a bottle, but it doesnt have an open top. its top curves around and downward and penetrates the side of the bottle, and then attaches to the bottom of the bottle on the inside. if you google it, you'll get a lot more information



hope this helps

Answer 3

because of the fact we are creatures, we are area of creation i.e. area and time. Our language and theory are additionally shaped and suggested by skill of this comparable dilemma. God is everlasting i.e. no longer of area and time. 'interior' and 'exterior' confer with area. Do you notice the 'subject'. God, being the author, won't be in a place to be the creature, for this reason he's diverse (language) from His creation in a style that temporal journey and perceptions can't draw close. it incredibly is the reason God would desire to exhibit himself to us. No technique can suffice. There can be no empirical evidence which includes human beings call for. it incredibly isn't attainable. Miracles won't do the two. there is often a 'rational clarification'. no count what human beings say they're going to settle for. Why could miracles or prophecy or the rest inevitably be a trademark of divinity. If Jesus popped out and in in front of hundreds of credible witnessess, the following day there could be those in this very web page who could be retaining that he 'would desire to be a complicated alien species or time traveller' out.

Answer 4

The assignment tells you exactly what to do. Have you Googled, and what is your question?