Think Twice

Let C be a circle centered at A and let B be a point outside C. Then the collection of centers P of circles passing through B and tangent to C is a hyperbola with foci A and B. For proof and construction watch the full video at: youtube.com/watch?v=7siAmC…

Any finite collection of polygons of equal area has a common hinged dissection:)

Construct an arbitrary circle (centered at F) and a line L not intersecting the circle. Then a collection of centers X of circles tangent to both the line L and the initial circle forms a parabola. Construction + Proof : youtube.com/watch?v=26AgYX…

Exploring procedural plant generation

Recursively rotating segments of an image rotates the image itself 🔗 Code by rvizzz on GitHub: github.com/rvizzz/rotate

Take any circle centered at B and let point A be one of its interior points. Then the collection of the centers (C) of the circles passing through A and tangent to the initial circle is an ellipse with foci A and B. New Video: youtube.com/watch?v=s4Hhuk…

@FlammableMaths :)

@thinktwice2580 nice.

Trammel of Archimedes - a mechanism that generates the shape of an ellipse. All points on the rod move in elliptical paths. The lengths of semi-axes (a and b) of the generated ellipse are equal to the distances from pivot points to the tracing point on the rod.

a pringle is a hyperbolic paraboloid

@dani_vicario Step effector to control the scale + formula effector to control the rotation.

Controlling the rotation of hemispheres with a sine wave.

The number of vertices V, faces F, and edges E in a convex 3-dimensional polyhedron, satisfy V - E + F = 2. I had a lot of fun making this video as it is one of my favorite proofs of this beautiful fact. Watch here: youtube.com/watch?v=80EazC…

😌

@sorenkierkegaah (人 •͈ᴗ•͈)

Displacing points on the surface of a torus using noise :)

@DeborahFabri Thanks:)

Every polygon can be triangulated into exactly n - 2 triangles | Poof by induction ⇒ youtube.com/watch?v=2x4ioT…