ToolPrototype
Classical Ciphers Lab
Explore Caesar and Vigenere ciphers, keys, frequency analysis and why simple ciphers leak structure.
Beauty in maths topic
Cryptography and Secret Messages
Cryptography is the mathematics of secret communication: hiding information, checking trust and using structure to make some tasks easy in one direction but hard to reverse.
6
live pages
1
prototype tools
5
planned ideas
What this area includes
Classical ciphers and frequency analysis
Modular arithmetic, inverses and clock-like number systems
Prime numbers, RSA and public-key cryptography
Hashing, digital fingerprints and tamper detection
Elliptic curves, finite fields and modern security ideas
Secret sharing and polynomial interpolation
Questions to explore
What makes a message easy to encode but hard to decode?
Why are prime numbers useful for secure communication?
How can mathematics help us trust information without revealing everything?
When does a pattern make a cipher vulnerable?
Working pages and tools
These are the pages currently available to open from this topic.
Planned directions
These ideas are not built yet, but they show where this topic could grow next.
ideaPlanned
Modular Arithmetic and Keys
Planned exploration of congruence, inverses, clocks and why modular arithmetic powers cryptography.
ideaPlanned
RSA Playground
Planned public-key cryptography tool using primes, products, totients and modular powers.
ideaPlanned
Hashing and Digital Fingerprints
Planned page about one-way functions, checksums, tamper detection and avalanche effects.
ideaPlanned
Elliptic Curve Cryptography
Planned advanced bridge from geometry and modular arithmetic to modern secure communication.
ideaPlanned
Secret Sharing
Planned tool showing how a secret can be split using polynomials and reconstructed only with enough pieces.
Connected topics
themeLive
Beauty in Maths
A portal for connected mathematical explorations: pattern, surprise, structure, nature and emergence.
themeLive
Number and Structure
Irrational numbers, ratios, exactness, approximation and hidden structure.
themeLive
Graphs and Networks
Nodes, edges, algorithms, networks, colourings and connected structures.
themeLive
Statistics, Probability and AI
Randomness, evidence, simulation, modelling, optimisation and machine learning ideas.
themeLive
Information Theory
Entropy, compression, communication, error correction and the mathematics of messages.
themeLive
Logic, Proof and Paradoxes
Truth, argument, proof, contradiction, paradox and the foundations of mathematical reasoning.
How to use this section
This section should feel like mathematical detective work: test a cipher, look for structure, break a weak system, then build a stronger one.