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Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, May 04, 2022

Septagram Revisited

The other day I revisited the interlaced septagram.  I wanted to make the areas between the rays more even, and I ended up doing a double-interlace.

This design suggests to me that it could work as a a meditation guide; I see several skewed perspectives in it, and the curves have a feel of water and bridges to them.  

Perhaps I'll stare at it before going to bed and see if any interesting dreams appear.


Tuesday, January 12, 2021

Harmonic Oscillation Pancakes



It's occurred to me that I haven't posted here about my attempt on the Third Day of Christmas to make Harmonic Oscillation Pancakes! 




I've seen pancakes where the batter is dropped onto a griddle to make letters or the Eiffel Tower or a smiley face.  What I wanted to do was load pancake batter into a pendulum, set it swinging over a hot griddle, and have math-artsy pancakes with harmonic curves on them.  






I was aiming for a family-friendly of mad-science-cookery, something that the entire family could eat and appreciate.  So it needed to be gluten-free.  After a failed attempt at making batter from an American Test Kitchen cookbook, I went out and got a gluten-free pre-mix.  




My first thought was that I could have a dual spout pendulum by using two plastic bags like frosting bags, hung far enough on a stick so that there would be two lines of batter spiraling around a common pivot point, which itself would be swinging back and forth over the griddle.  

The pendulum apparatus ended up looking like a found art installation from a beach-side hospital.  I hadn't really put the thickness of the batter into my calculations, so instead of a steady stream of batter coming out in a line, it was more like a dribble of Jackson Pollock-esque micro-pancakes. 

Part of the difficulty was that the batter was adhering to the sides of the bags and not really coming out.  I abandoned the plastic bags for a yogurt container with a hole drilled through it.  I had to drill the hole several times to widen it, and I ended up adding some more milk to the batter to try to thin it.  The end result was closer to what I was aiming for, but still didn't deliver pancake batter as quickly as I would have liked.  

By this time several hours had elapsed from initial pendulum setup to final yogurt container swing, and I could tell the mad-science cookery was getting on my family's nerves.   

The batter that did come out spread on the griddle more than I expected; so I didn't get a narrow, brown, and overlapping curve.  Instead, I got a twisted ring of batter that was fairly featureless.

I think if I'd turned up the heat on the griddle a little more, the batter might have cooked and browned more quickly.   I'll have to try with a larger hole in the pendulum, too -- or possibly a pendulum with two off-set holes that will allow me to have more interesting compound curves.   Or maybe a balloon or air pump to provide pressure that would expel the batter out more quickly....

I can neither confirm nor deny that I might have eaten all the results myself.

Monday, May 18, 2020

Math Art

This is my take on Crockett Johnson's Square Root of 2.  (Apparently, not only did he write Harold and the Purple Crayon, but he was interested in math art.)


I wanted to see how different numbers and different scales would work out.  This is an exploration of the square root of 4, 9 and 16.  If you want to find the square of a number n, make a semicircle of diameter n+1; the length of the perpendicular from n to where it meets the arc of the semicircle will be the square root of n.  Somehow this is related to the Pythagorean Theorem, but I haven't quite figured that part out.