A student publication · GHS

Big ideas.
Beautiful math.

A place for curious minds to share proofs, explore patterns, and find mathematics in the world around us.

Puzzles, discoveries, and a little mathematical wonder.

FIG. 01The beauty of a simple construction
A geometric construction of a regular pentagonA pentagon and its star of diagonals inside a circle, with light compass arcs and labeled vertices. ABCDEO φ = (1 + √5) / 2 Read a snippet of Points at Infinity

01 / From the journal

Points at
Infinity

Read the full paper (PDF, opens in a new tab)

A snippet from the introduction

In the Euclidean plane, two distinct parallel lines never intersect. Have you ever noticed this inconsistency? Why is it the case that two distinct lines always intersect except when they are parallel?

§ 1.1.2 · Euclidean Plane

02 / Take a pencil break

A little problem.
A new perspective.

Math is something you do, too.
Try a puzzle or play with a pattern.

COMBINATORICSTry it yourself

The handshake problem

Six friends meet. Each friend shakes hands exactly once with every other friend. How many handshakes happen?

A small hint

Each of the six friends has five people to greet. What gets counted twice in 6 × 5?

Show the solution

Every handshake belongs to a pair of friends. Counting 6 × 5 counts each pair twice, so the total is 6 × 5 ÷ 2 = 15. For n people, it is n(n − 1)/2.

GEOMETRY PLAYGROUNDOne shape, many possibilities
108°interior angle
5

A regular polygon’s interior angle is (n − 2) × 180° / n. Move the slider and watch the pattern.

03 / Your idea belongs here

Help write
the next chapter.

Have a favorite puzzle, a surprising math fact, or a question you can’t stop thinking about? Help create the GHS Math Journal.

We communicate and collaborate online. Bring your curiosity; start with one idea.

Submission contact and dates coming soon.

01

Choose something that interests you.

A puzzle, an elegant proof, a mathematical explanation, or a connection to everyday life.

02

Make your thinking easy to follow.

Introduce the question, define your terms, explain the steps, and use a diagram when it helps.

03

Share a readable draft.

Prepare a PDF or a viewable Overleaf or Google Docs link. Credit your sources and keep a solution with any puzzle.

Ways to contribute

Explorations · Proofs · Puzzles · Math facts · Real-world math · Diagrams

05 / About the journal

For the joy
of figuring it out.

The GHS Math Journal brings student mathematical ideas together: questions worth asking, explanations worth sharing, and problems worth trying.

Our focus is on contributions and online collaboration. Whether you enjoy writing, solving, drawing, or making connections, there is a way to get involved.

Bring an idea to the journal

Start with an idea

Your contribution draft

Prepare your idea here and download it to share with the editors once submission details are available.

Saved drafts stay in this browser. This form does not submit or email your work.