About the name & logo

The mathematics hiding
in plain sight.

Why the school is called Prime Colors Math, what the logo actually is, and the mathematical ideas built quietly into the wordmark, the numbers, and the site itself.

The name

Two mathematical ideas, one name.

Prime is a number theory term. Prime numbers — 2, 3, 5, 7, 11, 13… — are the irreducible atoms of arithmetic. Every other whole number is a product of primes. They are foundational, unpredictable, and they keep appearing in unexpected places. The name borrows that quality: something built from the most fundamental things, not reducible to anything simpler.

Colors references the four-color theorem — one of the most famous results in mathematics, proved only in 1976, and the first major proof to require substantial computer assistance. It states that any map on a flat surface can be colored using at most four colors so that no two adjacent regions share a color. In graph theory, "coloring" is a formal tool: color is not decoration. It is structure made visible.

Together, "Prime Colors" suggests that mathematics — at its most fundamental level — is colorful, structured, and pattern-rich. Not grey. Not a list of procedures. Not abstract for its own sake.

Prime Colors Math

The colored dots mark letters at prime-numbered positions in the word "PrimeColorsMath" — positions 2, 3, 5, 7, 11, and 13.

r · 2nd i · 3rd e · 5th o · 7th s · 11th a · 13th

The logo

A football is a truncated icosahedron.

The Prime Colors Math logo contains a truncated icosahedron — the mathematical name for the shape of a standard football (soccer ball).

A truncated icosahedron is made by taking an icosahedron — 20 equilateral triangle faces, 12 vertices — and slicing off each vertex. The triangular faces become pentagons; new hexagonal faces appear at every cut. The result: 12 pentagons, 20 hexagons, 60 vertices, 90 edges.

The football is the most widely-handled example of advanced geometry in everyday life. Most people who have kicked a ball across a field have been in contact with a truncated icosahedron without knowing it. That gap — between what we use every day and what we understand — is exactly what good mathematics teaching closes.

The three colors in the logo

Three dots, three domains.

The small circle embedded in the logo contains three colored dots arranged in a triangle. Each runs through the site as an accent color for a different domain of mathematics.

Teal

Analysis and pattern — the thread running through calculus, sequences, and the deeper structure of mathematical argument. The color of seeing how things connect.

Red

Algebra and structure — equations, functions, and the formal language that lets us write precisely what we mean. The color of solving and proving.

Amber

Number and combinatorics — the richness of counting, primes, and competition mathematics. Problems that are small in statement and deep in idea.

Hidden mathematics

The details for people who look carefully.

A few things in the site are there for anyone who stops to look. None of them are required reading — but they are all real.

The wordmark is a prime sieve

Strip the spaces from "PrimeColorsMath" and number each letter from 1 to 15. The letters at prime positions — 2, 3, 5, 7, 11, 13 — carry colored dots. The rest are plain. It is the Sieve of Eratosthenes, rendered as typography. Position 1 is not prime; P has no dot.

The gradient has four stops

The site's main gradient — on every button, every call to action — uses exactly four color stops: #FF9A3C, #FF6A3D, #FF4A55, #E93A5F. Four. As in the four-color theorem. As in the minimum number of colors needed to color any planar map. Whether that was deliberate is left as an exercise.

The Devlin quote is load-bearing

"Mathematics is the science of patterns" — Keith Devlin, Stanford. This is not a decoration in the philosophy section. It is the actual description of what the sessions are designed to do: make patterns visible, then unremarkable, then obvious. That progression is the lesson plan.

Six dotted letters; six is not prime

There are six letters with dots in the wordmark: r, i, e, o, s, a. Six = 2 × 3. Not prime. The count of dotted letters was not chosen to be prime — it was determined by the rule applied to the word. Which is exactly how mathematics works: the rule gives you the answer. You do not get to choose it.

The ball takes 80 seconds to rotate

The animated football on the homepage completes one full revolution every 80 seconds — slow enough that most visitors do not notice it is moving at all until they stare. 80 = 2⁴ × 5. The icosahedron it is based on has 60 rotational symmetries, and 60 divides into 80 with a remainder. This is not significant. It just seemed worth mentioning.

The football stats use four colors

The four stat pills on the philosophy section — Pentagons, Hexagons, Vertices, Seams — each use a different accent color: red, amber, blue, teal. Four items. Four colors. No two adjacent pills share a color. The four-color theorem, demonstrated on four rectangles in a row. One of them is technically unnecessary — three colors would suffice. That one is left as an exercise too.

What this all points toward

"Mathematics is the science of patterns.

— Keith Devlin, Stanford University

The name, the logo, the wordmark, the dots, the four-stop gradient — all of it follows from one idea: that mathematics is everywhere, that it is beautiful when you can see it, and that the job of a teacher is to make it impossible to unsee.

When a student stops needing to be shown and starts to see the structure themselves — that is the lesson. Everything in the site, and everything in a session, is preparation for that moment.

Get started

Start with a free intro session.

Thirty minutes, no charge, no commitment. A chance to see whether the teaching style and the student's level are a good match before anything else.

Book a free intro session →

Or email info@primecolorsmath.com with any questions.