Spirals | Spherical curves

Seiffert's spiral

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).

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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

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Hilbert Curve

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

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What is an obtuse triangle

πŸ‘‰ 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

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What is an equilateral triangle

πŸ‘‰ 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

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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

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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

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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

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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

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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

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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

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What are the properties that make up a rhombus

πŸ‘‰ 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

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What is an equiangular triangle

πŸ‘‰ 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

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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

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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

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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

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What is an isosceles triangle

πŸ‘‰ 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

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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

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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

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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

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B24 Introduction to the Bernoulli Equation

The Bernoulli equation follows from a linear equation in standard form.

From playlist Differential Equations

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