Thursday, January 20, 2022

KLO 0.973a (Qt 6) online

Version 0.973a is the first KLO version built under Qt 6, so please excuse any hiccups with the distributions, and also please get in touch if any issues arise running this version!

This version enhances KLO's braid-input mechanism with the following additional features, demonstrated in the short video below:

  • Braid generators can be entered, as before, via lowercase and uppercase letters (e.g., aB), as well as via positive and negative numbers (e.g., 1 -2). These numeric generators can be delimited by any combination of spaces, commas, and semicolons, for flexibility, and the alphabetic and numeric generators can be freely mixed (e.g., aB -3 4).
  • Positive (or negative) half-twists of all strands can be entered via \ (or /, respectively); these may be optionally followed by [a,b] to only perform the twist on strand numbers a through b inclusive (e.g., \[3,5] performs a positive half-twist on strands 3 through 5.
  • Parentheses "( )" can be used to group together expressions, and powers can be expressed by ^n for the chosen n (e.g., b^-5, or (\[2,5] bc)^2.

Thanks to Ken Baker for discussions that got the braid improvements going!

Thursday, January 13, 2022

Version 0.972a online!

A number of features have been added since the last post, including joint work with Brendan Owens on his algorithm for identifying ribbon disks for alternating knots and with Lucia Karageorghis on doubly-slice knots.

In addition a few small general features have been added (the to-do list remains quite long!):
  • As requested, the ability to clone a knot diagram into a Kirby diagram or surgery diagram has been added to the Convert menu, completing the loop with the ability to clone a knot diagram from either of these two.
  • Another useful knot manipulation, the Sweep move (also known as the "over" or "under" move), which allows a strand of knot (or band) that proceeds completely over or completely under at consecutive crossings to be freely moved (over or under, respectively) the rest of the diagram to any other position, which should allow for a little less repeated clicking to move bits of knot around via smaller moves.  This is illustrated in the brief video below:
Thanks to Marc Kegel for noting that the Windows .zip file was missing a .dll; that is all fixed online now!