Exploring the Sky Through Shapes

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Geometry and astronomy may seem like two distant disciplines, but in reality, they share a deep and ancient connection. Since ancient times, humans have looked to the stars and traced imaginary lines between them to create constellations (figures that often form geometric shapes such as triangles, trapezoids, and lines of symmetry). This connection between geometry and astronomy is a fascinating opportunity to work on spatial, mathematical and cultural concepts in the classroom.

When observing constellations, it is easy to identify simple geometric shapes: triangles, straight lines, trapezoids or more complex figures constructed by joining points (stars) in the sky. For example, the constellation Orion can be seen as forming a rhombus with a belt of three stars in the center. The Big Dipper, part of Ursa Major, resembles a trapezoid with a curved handle, and other constellations like Cassiopeia take the form of a zigzag that introduces students to concepts of angles and symmetry.

Figure 1: constellation Orion.


Figure 2: The Big Dipper, part of the Ursa Major constellation.



            Figure 3: Cassiopeia’s constellation.


Studying these celestial figures allows working on geometry from a different perspective: students can analyze what shapes appear in the constellations or how they are constructed by joining vertices (stars) with segments. In addition, the concept of polygons, angles and symmetry can be introduced when analyzing these celestial compositions.

An interesting activity is to give the students a star map with several constellations and propose them to identify geometric figures in them, asking questions such as “Are there isosceles triangles?”, “Can we find parallelograms?” “What kind of symmetry do we observe in some constellations?”. They can even create their own invented constellations, joining points and forming new figures, and then explain what geometric elements compose them.

This type of experience not only reinforces mathematical learning, but also awakens scientific curiosity and a sense of wonder. Because geometry is not only found in notebooks: it also lives in the stars, guiding our gaze for centuries.

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