Do you have Fibonacci or Lucas-patterned sunflowers in your garden?
This article discusses the Fibonacci series in nature and how some sunflowers follow the Lucas series. Also discusses the contributions of Turing.
Today I've been playing with the induced subgraphs of the Clebsch graph. Several other interesting and well-known graphs can be obtained from it by deleting a small number of vertices and forming the induced subgraph of the remaining vertices.
To begin with, one simple construction of the Clebsch graph is to take all length-four binary strings as vertices, and to make two strings neighbors when they differ either by a single bit or by all four bits. So it has sixteen vertices and 40 edges, and
Heute beginnt der 5. Teil meines kleinen Bibelstudiums und ich freue mich für jeden, der bis hierhin treu geblieben ist. Bereit für mehr? Denn dies ist erst der Anfang, denn wir haben ja erst ein wenig über die Flut und einen Fisch gesprochen – als nächstes wollen wir einen Turm … weiterlesen →
From this point forward we may think of idempotents, selectives, and zero-one diagonal matrices as being roughly equivalent notions. The only reason I say roughly is that we are comparing ideas at different levels of abstraction in proposing these connections. … Continue reading →
I didn’t encounter the Quadrilateral Midpoint Theorem (QMT) until I had been teaching a few years. Following is a minor variation on my approach to the QMT this year plus a fun way I leveraged the result to introduce similarity. … Continue reading →