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If we take a circle not a sphere and not a cylinder. A circle with 32 edges and make face with F and i want to divide that faces in 6 equal parts. As Loop cut do not work on faces. How can we make it.

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This is a nice example of a very unclear question. I actually got it completely different than the other two, as I had a piece of cake in mind like this:

sliceDisc

You'll need 36 verts for this to work, and have the disc filled with an n-gon. Then, connecting the vertices opposite each other using J would do the trick.

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  1. Inset I the circle with distance of 1.0/6 units (if the circle has radius of 1.0).

  2. Repeat 4x with Repeat Last Shift+R.

    enter image description here


If the circle has some ugly diameter:

  1. Select single radius edge.

  2. Invert selection Ctrl+I and delete edges.

  3. Subdivide the edge with W > Subdivide. Set number of cuts.

  4. Spin the divided edge into circle with Alt+R. Set 360° and 32 steps.

  5. Remove doubles.

    enter image description here

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Delete the central vertex, select all 32 edges, E extrude, S scale, move the mouse, enter to confirm. repeat 6 times; select the last 32 scaled edges, Alt M merge at center to close the mesh. After pressing S for scaling you can enter a numeric value for scaling exactly the same amount every time.

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