A fractal is a self-similar shape that exhibits the same pattern at smaller and smaller scales.

It is formed by dividing a square into 9 smaller squares and removing the central square, repeating the process for the remaining squares.

Self-similarity refers to a pattern that appears the same at different scales within a shape.

An equilateral triangle is divided into 4 smaller triangles by connecting the midpoints, removing the central triangle, and repeating for the remaining.

Start with an equilateral triangle, divide each side into three equal parts, and construct an outward triangle on the middle segment and remove it.

R_n = 8^n, where R_n is the number of remaining squares at step n.

H_(n + 1) = H_n + R_n, where H_n is the number of holes at step n.

It refers to the mental process of forming images of geometric shapes and understanding their properties without drawing.

The profile of a solid is its outline when viewed from a specific direction or angle.

A net is a 2D representation of a solid that can be folded to form the 3D figure.

A cube has 6 faces, 12 edges, and 8 vertices.

A prism has two congruent polygons as bases connected by parallelogram faces.

A pyramid has a polygonal base and triangular faces converging at a single vertex.

It represents a 3D object on a 2D plane where the lengths of edges are equal.

Front view, top view, and side view are used to represent the dimensions of a solid.

The shortest path between two points can be found by unfolding the cuboid and drawing a straight line.

Volume = length × width × height.

M.C. Escher is renowned for his artistic exploration of fractals and mathematical themes.

Fractals are often used in traditional patterns, architecture, and modern artwork to create self-similar designs.