(Mathhombre) Miscellanea

Symmetry.
Stunning artistic exploration of the concept. Found originally at art does matter, but it wouldn’t reblog.

artdoesmatter:

Symmetry is a contemplative review of questions asked but not answered. Read more here.

Stunning artistic exploration of the concept.

Tumblr Activity.

It always amazes me that the little squiggle showing your activity is your actual activity graph. Real time iconography.

themathguru:

Um…this is just depressing. HELLO SO MUCH MATH IS INVOLVED AND YOU SHOULD BE PUMPED ABOUT IT!!! @metrotoronto #mathfail #sudoku

I do sudoku as a first activity in several courses. And this is the question for reflection: is it doing math? They want to say yes, b/c we’re in math class, but even still, many say no. Some say that it really doesn’t matter what the symbols are, and if they weren’t numbers but letters or pictures, it definitely would not be math.

themathguru:

Um…this is just depressing. HELLO SO MUCH MATH IS INVOLVED AND YOU SHOULD BE PUMPED ABOUT IT!!! @metrotoronto #mathfail #sudoku

I do sudoku as a first activity in several courses. And this is the question for reflection: is it doing math? They want to say yes, b/c we’re in math class, but even still, many say no. Some say that it really doesn’t matter what the symbols are, and if they weren’t numbers but letters or pictures, it definitely would not be math.

Polygon Portals, continued.

There was a request for the GeoGebra file, so I prettied up the sketch, tried to be clear on the way to use the tools and added a new example. It’s on GeoGebraTube, so make something and share it with me!

Attribute Blocks.

Attribute Blocks with the Elementary PSTs today. There was some spontaneous organizing!

More Poly-Polygon Portals.

So let’s say a polygon has a spiral for a point on it’s border if there’s a center so that a rotation + dilation takes a vertex to that point and each other vertex to a point on a corresponding edge. (Then the next dilation + rotation will have the same property, etc.) Squares have spirals, and rectangles. Any others? Most quadrilaterals seem to have points that do not have spirals, but do most quads have points that do have spirals? No idea. Yet.

Playing around, it seems to depend on the point on the boundary, and I’m guessing the answer is not every polygon has a spiral. For the ones that do, the location of the center seems interesting.

If anyone wants the GeoGebra for this, let me know and I’ll upload. Interested?

Playing around with the Malay Icon shape.

fascinating! Can’t find a source with Google images. I think I could make it with this GeoGebra project.

fascinating! Can’t find a source with Google images. I think I could make it with this GeoGebra project.

Polygon Popartgrid

Not sure how this image got into my head. Kept adding features to get what I wanted. In addition to relative size, angles, apothems and the like for math, seems like a good exploration of positive and negative space for art.

On GeoGebraTube for you to play.