Bitcoin puzzle

Inspired by a famous Bitcoin puzzle first published by a BitcoinTalk user, this app is an experimental tool for visually exploring the private key space.

The app uses a unique approach: instead of working with hexadecimal strings and raw numbers, the user interacts with a graphical matrix. Each cell of the matrix corresponds to a specific bit or group of bits in a 256-bit private key. By changing the cell states (including inclusion, inversion, rotation, and random generation), the user effectively generates a new key, which is then converted into a public key and a Bitcoin address.

The main idea is to demonstrate the scale of the cryptographic space and clearly demonstrate the enormous number of possible combinations. Even with visual guidance, the probability of a random match with a specific existing key remains astronomically small. The app emphasizes the educational aspect: understanding the principles of elliptic curve cryptography, public key generation, and address formation on the Bitcoin network.

Functionality includes:
Interactive 16x16 bit matrix
Instant conversion of the matrix state into a private key
Generation of the corresponding public key and address
Address balance check (when connected to the network)
Random search mode in a specified range
Visual filters and mutation algorithms (inversion, shift, rotation)

The application can operate in research mode, where the user studies key distribution patterns, as well as in demo mode, which demonstrates how unrealistic it is to brute-force an existing active private key.