End To The Universe Ends Your Ideas Of Infinite

The Worlds of our Solar System

Platonic solid: In Euclidean geometry, a Platonic solid is a regular, convex polyhedron with congruent faces of regular polygons and the same number of faces meeting at each vertex. Five solids meet those criteria, and each is named after its number of faces.

An Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices . They are distinct from the Platonic soilds, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices.

In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean soild. The Catalan solids are named for the Belgian mathematician, Eugène Catalan, who first described them in 1865.

The Catalan solids are all convex. They are face-transitive but not vertex-transitive. This is because the dual Archimedean solids are vertex-transitive and not face-transitive. Note that unlike Platonic soilds  and Archimedean soild, the faces of Catalan solids are not regular polygons. However, the vertex figures of Catalan solids are regular, and they have constant dihedral angles. Additionally, two of the Catalan solids are edge-transitive: the rhombic dodecahedron and the rhombic triacontahedron. These are the duals of the two quasi-regular Archimedean solids.

Images: Polyhedral Relations by Allison Chen on Behance.

On the care and keeping of your scientist

Congratulations on adopting a scientist! Regardless of their field they will require much coffee, free food, and love. Here are some field specific tips for keeping your scientist happy and healthy!

Biology: make sure they don't get overly invested in their model organism by reminding them about the flaws inherent in their system on a regular basis, but also make sure to join in when they criticize other models in favor of their own

Chemistry: don't let them do that 'just one more reaction' at 10 pm. make sure they get out of the lab and see the sun on a regular basis. try to keep them from partying too hard when they do leave the lab

Geology: humor their rock puns but don't let the lick the rocks (they will tell you they need to lick the rocks to identify them, but don't fall for it)

Astronomy: try not to let them become completely nocturnal. point out nice stars to them and look suitably impressed by their "pictures" of planets that don't look like anything to you

Physics: take them to the park on a regular basis to remind them that things larger than subatomic particles exist. bring a frisbee or a ball to play catch with and be impressed by their ability to calculate trajectories

Math: always make sure to have free batteries for their calculators and a mathmatica user guide on hand. Humor them when they tell you why space without angles is important

Ecology: make sure they remember to wear sunscreen and keep an eye on them in the field. Remind them to come inside and analyze their data occasionally

Psychology: don't mention Freud or ever call them a soft or social science, but make sure you gently remind them that social factors can impact reproducibility and try to keep them from drawing sweeping conclusions about the inherent nature of humanity

Neuroscience: be suitably impressed by their newest experiment and then remind them that people are not mice as often as possible

Computer Science: make sure they take breaks while debugging by limiting their supply of coffee. Nod and smile when they go off on indexing and arrays. Make sure they always have a rubber duck.

Make sure to keep your scientist away from engineers unless they have been properly socialized to interact in a translational household. The most important thing is to remember to hug your scientist on a regular basis and remind them that there is life outside the lab

These spectacular wave-like clouds are the result of the Kelvin-Helmholtz instability. When two layers of air move past one another at different velocities, an unstable shear layer forms at their interface. Disturbances in this shear layer grow exponentially, creating these short-lived overturning waves that quickly turn turbulent. The strong resemblance of these clouds to breaking ocean waves is no coincidence–the Kelvin-Helmholtz instability occurring between the wind and water is what generates many ocean waves. Kelvin-Helmholtz patterns are also common on other planets, like Jupiter, Saturn, and Mars. (Image credit: Breckenridge Resort; submitted by jshoer)

Fluid

Interactive webtoy by David Li is a fun fluid dynamics simulator which lets you play around with various parameters - here is a video of it in action:

Fluid simulation is a GPU implementation of the FLIP method (with various additions). Particle rendering uses spherical ambient occlusion volumes. 

You can find out more and try it out for yourself here

Stack ‘em up

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