Q: How many different places can a design be rotated and still maintain all of its characteristics when a design has a three fold symmetry?

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t

No. Objects can have reflective symmetry but no rotational symmetry.

Axial symmetry.

This is the definition of "rotational symmetry", or if the statement is true for any number of degrees of rotation it is also "circular symmetry.".

all characteristics true

Related questions

A design with four-fold symmetry can be rotated 90, 180, or 270 degrees and still maintain all of its characteristics. This means there are three different places it can be rotated while keeping its symmetry.

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3!

Its order of rotational symmetry.

true

False

false

t

No. Objects can have reflective symmetry but no rotational symmetry.

Reflectional symmetry

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The fact that all plane shapes have rotational symmetry whose order is at least 1.