Seiffert's spherical spiral is a curve on a sphere made by moving on the sphere with constant speed and angular velocity with respect to a fixed diameter. If the selected diameter is the line from the north pole to the south pole, then the requirement of constant angular velocity means that the longitude of the moving point changes at a constant rate. The cylindrical coordinates of the varying point on this curve are given by the Jacobian elliptic functions. (Wikipedia).
Billiard in a Reuleaux triangle
Seeing the billiard in a Reuleaux triangle was a wish by several viewers (including, I believe, Carmen, Bogdan, Auferen, Bluelightzero and Jonathan), so here it finally is! The Reuleaux triangle is a shape of constant width. You can build it by starting from an equilateral triangle, and t
From playlist Particles in billiards
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.
From playlist 3D printing
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
What is an equilateral triangle
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Raimar WULKENHAAR - Solvable Dyson-Schwinger Equations
Dyson-Schwinger equations provide one of the most powerful non-perturbative approaches to quantum field theories. The quartic analogue of the Kontsevich model is a toy model for QFT in which the tower of Dyson-Schwinger equations splits into one non-linear equation for the planar two-point
From playlist Talks of Mathematics MΓΌnster's reseachers
Geometric Algebra - Rotors and Quaternions
In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading
From playlist Math
Turns Out, Galaxies Form Spiral Arms In a Very Unusual Way
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about a new discovery that explains how galactic arms form using magnetosphere of a galaxy. Paper: https
From playlist Galaxies, Quasars, Blazars
Newly Found Super Spiral Galaxies Spin Too Fast to Exist
You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and in this video, we will talk about super spiral galaxies and their unusual properties recently discovered in this paper: https://iopscience.iop.org/article/10.3847/2041-8213/ab459e Sup
From playlist Galaxies, Quasars, Blazars
Groundbreaking Image of Planetary Formation Raises Lots of Questions
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about how baby planets form and what forces them to grow larger in size. Check out the short video from
From playlist Unusual Exoplanets
We Now Have a More Accurate Age of Milky Way Disc - It's Ancient!
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about new measurements of the thick disc of the Milky Way that show the age of our galaxy. Paper: https:
From playlist The Milky Way
What are the properties that make up a rhombus
π Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,
From playlist Properties of Rhombuses
What is an equiangular triangle
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
100 Years Ago Scientists Failed to Realize the Universe Was Actually Huge
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about the event that transformed our understanding of cosmos and lead to the discovery of the universe i
From playlist The Milky Way
Discovery of 21000 Shadow Galaxies That Were Invisible to Us Before
I wrote a foreword for this awesome Sci-Fi book here: https://amzn.to/3aGrg0I Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will talk ab
From playlist Mysteries of the Universe
Newly Found Galaxy Wolfe Disk Shouldn't Really Exist
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about a new discovery of what seems to be a disk galaxy in an early universe - something we didn't think
From playlist Galaxies, Quasars, Blazars
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Solar System Is Accelerating! And Other Incredible Gaia Discoveries
I wrote a foreword for this awesome Sci-Fi book here: https://amzn.to/3aGrg0I Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will talk ab
From playlist The Milky Way
Interestingly, Galactic Bulge Was Created During a Single Powerful Burst
Get a Wonderful shirt: https://teespring.com/stores/whatdamath Use Black Friday Coupon - WONDERFUL - for a discount! Hello and welcome! My name is Anton and in this video, we will talk about new discoveries in regards to the creation of the huge Galactic bulge that Milky Way galaxy and ot
From playlist The Milky Way
Unexpected Discovery: Ultra Dense Planet Outside of Galactic Plane
You can buy Universe Sandbox 2 here: http://amzn.to/2yJqwU6 Or get a shirt: https://teespring.com/stores/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about a newly discovered star that orbits outside of the galaxy and has one of the densest planets we've
From playlist Unusual Exoplanets
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations