Wow, huvudmaskinen får jobba hårt när jag tittar på dessa. Kommer genast till funderingen över hur många varv den innesta behöver snurra för att alla skall vara tillbaka på start igen. Häftigt, ser skevt ut när varannan form är svart som bakgrunden. :) Riktigt bra jobbat med sidan och de du skapat i Geogebra!!
Distorted epicycloids and hypocycloids rolling inside other distorted epicycloids and hypocycloids.
Interactive versions with distorted and non-distorted versions, and the math behind it: http://www.malinc.se/m/RollingHypocycloids.php
Three of my favorite tumblrs in one post, keep it up boys. :)
I saw Regolo Bizzi’s wonderful drawings on twitter, and I had to try and make them in processing. I recognized it as a version of the dog chase problem (where dogs at each corner of a square are chasing the dog to their left), but now they switch from the left dog to the right dog every 100 frames. Also made a hexagon version (6 dogs), because why not?
Square code: http://openprocessing.org/sketch/292065
Polygon code: http://www.openprocessing.org/sketch/292076
Väldigt vackert när det är Mondrian målning som reflekteras om. Wow! Jag undrar hur en “grid” av rutor 1x1 skulle se ut efter den blivit omgjord. Dags att uppgradera mina programeringsskills och göra egna program.. :)
Edit: Malin hade gjort ett fint program redan för detta. MEN, att rita raka stäck med mus är sådär halv lätt.. Resultat :
When reflecting a painting in a circle, pen strokes close to the centre of the circle become thicker. Reflecting a pixel-based image would enlarge and distort some pixels. A painting built of strokes, like a Mondrian-painting, is better suited for circle inversion.
Paint Circle-Inverted Mondrian:
http://www.malinc.se/m/InvertedMondrian.php
Numberphile (https://www.youtube.com/channel/UCoxcjq-8xIDTYp3uz647V5A) Got some good videos on the subject.
Heres one that introduce the topic: https://www.youtube.com/watch?v=aqyyhhnGraw
Did you know that there’s a whole branch of topology called knot theory studying knots?
Find out more here: https://en.m.wikipedia.org/wiki/Knot_theory
Beautiful!
This sketch was made by rotating point 1 around a circle, rotating point 2 around point 1, and then joining a line between point 1 and point 2. In the gif point 2 is traveling in the same direction as point 1. Point 1 is traveling at 1x, and point 2 is traveling at 2x. Following the gif are some of my favorite combinations of the periods:
Rotating same direction:
1x and 1x
1x and 2x
1x and 5x
2x and 1x
2x and 5x
5x and 8x
The last image is an array of all the varieties from 1x to 9x for each point.
code: http://p5js.sketchpad.cc/sp/pad/view/jLceHatXid/latest
Hahaha, Words like “Grönsakspanik”, “Terrorlugn” and “Gerillabroderi”. WTF is this. :D Im from Sweden and have never heard of those words.. :D
Swedish tabloids have a habit of inventing new compound words which catch your attention and carry a lot of information, but which mostly are just ridiculous, especially out of context. I will translate a few:
pirogtumult - pie riot snösmocka - snow punch skottningshysteri - snow-shoveling mania slipsvåld - tie violence gravidbråkar - pregnant-quarreling älgdrama - moose drama psykchockskrigsattacken - the psychological shock war attack (in the context of ice hockey) bajsplågan - the poop torment vrålonani - roar wank dödskorvar - death sausages
[Source]
(submitted by @ordlista )
(via https://www.youtube.com/watch?v=0C75vRVL5lE)
One of the best videos on youtube!
Även efter man läst förklaringen och verkligen försöker bortse skuggans illusion, så stuttsar denna boll...
Skulle det fungera om man tog bort perspektiv rutorna? Så du inte har djupet att förhålla sig till?... Hmm
Shadow illusion
The human brain uses shadows to interpret how objects move. By faking the shadow, one can fake the perceived motion of an object. The red circle moves along a line.
Interactive version:
http://www.malinc.se/m/ModellingIllusions.php
So pleasing for the eye to watch!
The Trefoil
(cf.)
Verkligen en vacker skapelse!
Golden rectangle