Understanding Fractals

What is the most accurate definition of a fractal?

• A perfectly symmetrical figure with finite sides

• A geometric figure that repeats its shape at smaller scales

• A polygon with more than four sides

• A curve without any angles

What does self-similarity in fractals mean?

• The object is made of identical triangles

• The object looks exactly the same under rotation

• Smaller parts resemble the whole structure

• The figure repeats symmetrically

What is the purpose of iteration in fractal geometry?

• To smoothen edges of curves

• To repeat a process in building complexity

• To measure the shape’s perimeter

• To divide the shape into equal parts

What does recursion refer to in fractal construction?

• An angular transformation

• A self-referencing process

• A mirror reflection of a pattern

• A color-based repetition

Fractal dimension typically lies between which two dimensions?

• 1D and 2D

• 0D and 3D

• 2D and 3D

• 1D and 4D

Which technical term best explains the repeating nature of fractals?

• Symmetry

• Self-similarity

• Approximation

• Transitivity

The term “fractal” comes from the Latin word “fractus,” meaning:

• Flexible

• Imaginary

• Broken

• Repeated

Who coined the term fractal in 1975?

• Euclid

• Alan Turing

• Benoît Mandelbrot

• Isaac Newton

What was one of Benoît Mandelbrot’s major contributions?

• He invented the coordinate plane

• He classified types of symmetry

• He showed that chaotic natural forms exhibit fractal behavior

• He created the first telescope

Which characteristic distinguishes a fractal from other shapes?

• Fixed length and width

• Constant color pattern

• Repeating patterns at multiple scales

• Parallel symmetry