This article hopes to:

1) Investigate Public Curve Cryptography in a manner that is self-contained.

2) Explore cryptographic concepts and problems through visual aids without assuming advanced knowledge of the mathematics underlying the subject.

This article hopes to:

1) Provide an introduction to cryptography in a manner that is self-contained.

2) Explore cryptographic concepts and problems through visual aids without assuming advanced knowledge of the mathematics underlying the subject.

This article is the first in a series of twenty-one articles that will:

1) Articulate the importance and potential impacts of smart contracts on the Bitcoin and Lightning networks.

2) Introduce and explain the technical tools that will be needed to appreciate the power and utility of smart contracts.

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