#DrBeyond #DogOfBlueSky #Physics #EuclideanGeometry #NapTime

GenesisGeo AI System Advances Automated Euclidean Geometry Proofs

GenesisGeo, built on a 21.8 million‑problem geometry dataset, uses a DDARN engine 120‑times faster and solved 24 of 30 IMO‑AG‑30 benchmark problems (IMO‑silver level). Read more: getnews.me/genesisgeo-ai-system-adv... #genesisgeo #euclideangeometry

In standard Euclidean space (L2 norm), our familiar π ≈ 3.14 is actually *minimized*. This unique property is tied directly to the Pythagorean theorem and Cartesian coordinates, making Euclidean circles perfectly round. #EuclideanGeometry 2/6

A high-altitude balloon experiment, possibly the BOOMERANG mission, is shown being prepared for launch in a snowy landscape. The background features a stylized representation of the Cosmic Microwave Background (CMB) radiation, hinting at the experiment's goal of measuring the CMB to determine the universe's geometry and composition. The image illustrates the scientific race to understand the universe's early moments through increasingly precise CMB measurements.

Astronomy Picture from 09/05/2000

The Race to Reveal Our Universe

Source: https://apod.nasa.gov/apod/ap000509.html


#CMB #Cosmology #BalloonExperiments #BOOMERANG #MAXIMA #SpaceRace #UniverseGeometry #EuclideanGeometry #NASA #MAPSatellite

A triangle ACB with BC cut by E, AC cut by F and AB colinear with D, and triangle AFD drawn.

"It can readily be proved by elementary geometry that AD*BE*CF = BD*CE*AF..."

Go on then, how can I readily prove this in a time before algebra and trigonometry?

#historyofmaths #ancientgreek #euclideangeometry #triangles