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My current special interests are tesselations and Mike Posner's music which I have been listening to on loop for weeks. What are yours? And do you have a long-standing special interest that you revert to as a default?
I'm still stuck on Rubik's cubes - making one spreadsheet after another to model different types of Rubik's cubes. I am considering making a Tutorial spreadsheet - enter in a scramble and it will walk you through how to solve it.
Regarding tessellations, do you get into Penrose patterns?
Have you gotten into 3D tessellations?
I once messed around with a "Fibonacci walk" where I converted a Fibonacci word (see here for a de
I'm still stuck on Rubik's cubes - making one spreadsheet after another to model different types of Rubik's cubes. I am considering making a Tutorial spreadsheet - enter in a scramble and it will walk you through how to solve it.
Regarding tessellations, do you get into Penrose patterns?
Have you gotten into 3D tessellations?
I once messed around with a "Fibonacci walk" where I converted a [URL='https://en.wikipedia.org/wiki/Fibonacci_word']Fibonacci word (see here for a definition)into a series of left and right turns, e.g. 0 for a left turn and 1 for a right turn. I created settings where I could decide how many degrees to turn on each turn and how far to travel after each turn. And the result was... a tessellation!
I could get different tessellations by varying the degrees and lengths. I could get a grid of squares or a tessellation of small squares and large squares like this:
View attachment 78881
I could get a similar tessellation with three different sizes of triangles, or a hexagonal tessellation. I had a lot of fun with it.
finition)[/URL] into a series of left and right turns, e.g. 0 for a left turn and 1 for a right turn. I created settings where I could decide how many degrees to turn on each turn and how far to travel after each turn. And the result was... a tessellation!
I could get different tessellations by varying the degrees and lengths. I could get a grid of squares or a tessellation of small squares and large squares like this:
View attachment 78881
I could get a similar tessellation with three different sizes of triangles, or a hexagonal tessellation. I had a lot of fun with it.
That is so cool! It sparks joy!My special interests are trilobites where not only am I learning to infer habits from morphology, I am getting together at least one from each family from the Devonian to donate to a school. And with May here, I will be doing insect surveys on local streams for a measure of water quality. That gets me back to the basis of biology . . . . taxonomy.
Chinese culture
And I have an interest in the culture from your part of the world! Especially your traditional music.That reminds me, I do sort of have a special interest in American culture and maybe especially American car culture. I think it comes from growing up in a tiny country with silly cars and a little less freedom and then I look at the vastness of the US and all the stuff they have over there that we don't have here and I think wow.. I want that.
I'm still stuck on Rubik's cubes - making one spreadsheet after another to model different types of Rubik's cubes. I am considering making a Tutorial spreadsheet - enter in a scramble and it will walk you through how to solve it.
Regarding tessellations, do you get into Penrose patterns?
Have you gotten into 3D tessellations?
I once messed around with a "Fibonacci walk" where I converted a Fibonacci word (see here for a definition) into a series of left and right turns, e.g. 0 for a left turn and 1 for a right turn. I created settings where I could decide how many degrees to turn on each turn and how far to travel after each turn. And the result was... a tessellation! to \
I could get different tessellations by varying the degrees and lengths. I could get a grid of squares or a tessellation of small squares and large squares like this:
View attachment 78881
I could get a similar tessellation with three different sizes of triangles, or a hexagonal tessellation. I had a lot of fun with it.
So, my special interest is always math-related. I always have a small (or medium, or large) math problem to play with. The problem is that I will get interested in one, then find another interesting problem before I finish the first one. So, my list in my head is currently:
1) Finish adding 6x6x6 through 10x10x10 Rubik's cubes to my modelling spreadsheet.
1a) I'm consider making a version of that spreadsheet which will work out how to do any size cube formulaically. Currently, I'm manually creating a model for each type of cube. I might be able to automate it, but it will take hours and hours to work out the formulas.
1b) Consider making a tutorial spreadsheet that will take a scrambled cube and walk you through the steps of solving it.
2) When I finish with all that cube nonsense, I want to return to writing a program to calculate all the possible board states in a game of Quoridor. I have calculations for all the possible wall arrangements, but that doesn't take into account pawn placement. I worked out how to do it, but then I got distracted with Item 1, above.
3) When I finish with that Quoridor nonsense, I want to return to working on my program to use chromatic polynomials to do video poker optimal play. I was making good progress, but then I realized I could figure out how to solve Item 2, above, and started on that.
4) If I ever get that far in my list, I want to see if I can make the my chromatic polynomial engine faster. It does some cool math, but it eats memory like a starving hyena and is way to slow for my liking.
5) Sometime, I want to publish items 2 through 4 - but not until I'm sure they're ready for prime time.