Playing Portal in a non-Euclidean space. Mind = blown.
A collection of mathematical fascinations, not strictly limited to the subject itself but also people's interactions and interpretations. My curiosity for the subject is infinite, but I try to stay away from the sciences. The thrill lies in the purity, not the application.
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Playing Portal in a non-Euclidean space. Mind = blown.
I’d say, yes.
Found this on Tumblr a while ago. Didn’t reblog and subsequently lost it. Glad to have finally found it again!
In maths, very simple rules can create interesting shapes with nice properties. For example to get a cube, we can join all the 3 dimensional points where each coordinate is either 1 or -1. The shape in the top right, the octahedron is made form all points where only one coordinate is either 1 or -1. Also you can see how the complicated truncated octahedron shape is made in the bottom left. A more crazy shape made from rectangles, hexagons and octagons is also shown. [more] [code]
When constructing squares over the sides of any triangle, other triangles are determined, with the same area as the initial one. This animation demonstrates such idea, given that the transforming triangle maintains its area.
Two segments are divides in the same amount of parts. By joining the divisions in the same orientation, these segments are tangent to a parabola, more clearly described when the number of divisions grows (which is usually called an envelope loci)
(vía Geometría Dinámica » Curvas de Bézier y Curvas de Bézier - YouTube)