Riffs and Rotes • Happy New Year 2021

Posted on January 3, 2021 by Jon Awbrey

Apart from their abstract beauty, Riffs and Rotes are structures I discovered while playing around with Gödel numberings of graphs and digraphs.  To my way of thinking they bear a deep connection to the mathematical infrastructure of logic.  Here are the Riff and Rote for 2021.

\text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}.

\text{Then} ~ 2021 = 43 \cdot 47 = p_{14} \cdot p_{15} = p_{2 \cdot 7} \cdot p_{3 \cdot 5} = p_{p_1 \cdot p_4} \cdot p_{p_2 \cdot p_3}.

Riff 2021

Riff 2021

Rote 2021

Rote 2021

Reference

cc: Cybernetics • Ontolog • Peirce List • SeqFan • Structural Modeling • Systems Science

This entry was posted in Algebra, Combinatorics, Graph Theory, Group Theory, Logic, Mathematics, Number Theory, Riffs and Rotes and tagged , , , , , , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

Gravatar
WordPress.com Logo

You are commenting using your WordPress.com account. ( Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. ( Log Out /  Change )

Cancel

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.