Definition from The St Andrew’s University MacTutor page:

*A Möbius strip is a two-dimensional surface with only one side.*

A mobius strip is a 2 dimensional surface (manifold) in 3 dimensional space – in the same way that the surface of a sphere has 2 dimensions even though it exists within 3 dimensions. In order to make a mobius strip we twist through the 3rd dimension – so we need the 3rd dimension to build it – but it remains a 2 dimensional surface. The higher dimensional equivalent is the Kleine bottle – which requires a 3 dimensional object being twisted through the 4th dimension to make.

]]>It could be – you need to think about how you can personalise the topic. Can you think of a question to investigate to do with extra dimensions? That would then allow you to have good reflection marks.

]]>x=c is equation of point eg x=1,2,3 etc.

ax+by=c is equation of line.

ax+by+cz=d eqation of plane.

ax+by+cz+dt=e is an equation of space.

we can place all the value of x y z here in this equation of space. Any value is possible..then what is ‘t’ here? t means time ..for a particular value of time t here can be a a equation of plane..that means a moving body in 3d if considered a point of a plane is at that particular time …equation of plane state object at rest..not moving..but if t is considered as 4th dimension then we are dealing that integration of plane and all planes at different time and if we consider a body or a point then that moving body as a part of moving plane….

interesting question can be asked here how t having unit second can be added to x y z those having length…constant before t is considered as velocity a constant value for some moving object similar to constant designated before x y z..

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