Tag Archives: enumeration

Efficiently listing orthobraces

Posted on March 26, 2018 by Brent

In my last couple posts, we talked about a simple yet inefficient method for listing all orthobraces of a particular size. So how do we generate them efficiently? It turns out that it can be done: in 2011, Karim, Sawada, … Continue reading →

Posted in combinatorics, computation | Tagged , , , , , , , , , , , | 1 Comment

Haskell code to naively list orthobraces

Posted on March 21, 2018 by Brent

Let’s see some simple Haskell code to generate orthobraces, by generating all sequences and throwing away ones we’ve already generated. First, some library imports we’ll need. > import Data.List > import qualified Data.Set as S Here’s a function to generate … Continue reading →

Posted in combinatorics, computation | Tagged , , , , , , , , | 1 Comment

Listing orthobraces

Posted on March 20, 2018 by Brent

I took a bit of a break to finish writing a paper for submission to the International Conference on Functional Programming—which I should write about here! All in good time. (I tend to accumulate things to write about faster than … Continue reading →

Posted in combinatorics, computation | Tagged , , , , , | 2 Comments

Orthogons and orthobraces

Posted on February 19, 2018 by Brent

One of these days soon I will get back to writing about primality tests, but for now I am having fun getting sidetracked on orthogons! In a previous post I gave rules for when two orthogons will be considered the … Continue reading →

Posted in combinatorics, geometry | Tagged , , , | 4 Comments

Properties of orthogons II

Posted on February 10, 2018 by Brent

In my previous post I proved three out of the four properties of orthogons I originally stated. Now let’s prove the final property: Every sequence of an even number of X’s and V’s, with exactly four more X’s than V’s, … Continue reading →

Posted in combinatorics, geometry | Tagged , , , | 3 Comments

Orthogonal polygons

Posted on January 31, 2018 by Brent

It’s time to say more about PWW #21, in which I exhibited things like this: Quite a few commenters figured out what was going on, and mentioned several nice (equivalent) ways to think about it. Primarily, the idea is to … Continue reading →

Posted in combinatorics, geometry | Tagged , , | 5 Comments

Post without words #21

Posted on December 18, 2017 by Brent
Posted in combinatorics, geometry, posts without words | Tagged , , | 17 Comments