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Q: How do changes in dimensions of similar geometric figures affect the perimeters and areas of the figure?

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Traditional geometric figures have dimensions which are integers: 0 for a point, 1 for a line or Mobius strip, 2 for a plane figure or Klein bottle, and 3 for a solid. Fractals have dimensions which are not integers.

All polygons

The only thing that can contain all geometric figures is the set of all geometric figures, which is an infinite set.

The areas are different.

No, plane geometric figures are ones like triangles and circles that can fit completely in the plane. A cylinder needs 3, not 3 dimensions and will not fit in the plane.

toy figures that have to do with geologic features

Plane figures.

toy figures that have to do with geologic features

Transformations. :-)

No. They are universal.

They are geometric figures.

The triangle.

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