Announced today at #MSBuild#: Microsoft unveiled Majorana 2, a next-generation topological quantum chip developed with the help of Microsoft Discovery’s agentic AI.

Japan’s Coast Guard Hydrographic and Oceanographic Department has released a free Minecraft map built from real submarine topographic data. Players can explore the seabed from Tokyo Bay to the Mariana Trench, including detailed areas such as the Izu Islands and Iwojima ridge. The terrain is scaled for better navigation, and the map includes a coordinate lookup tool that generates teleport commands to specific real-world locations. It is available for both Java and Bedrock editions and focuses on exploration rather than survival gameplay.

June Huh (US/Korea) He brought Hodge theory (from algebraic geometry & topology) into combinatorics. Proved major conjectures: Dowling–Wilson, Heron–Rota–Welsh, strong Mason, plus developed Lorentzian polynomials.

The man who literally rebuilt modern mathematics from the ground up: Alexander Grothendieck (1928–2014). He invented schemes, toposes, and étale cohomology, turning algebraic geometry into the most powerful language in all of math. What Hilbert started, Grothendieck finished. The most influential mathematician of the 20th century.

Ivanka Trump says she swam barefoot to a 1,400-hectare, off-grid Mediterranean island to scout her next project. Now, she and Jared Kushner are building a massive destination from scratch on one of the last untouched coastlines in Europe. Here is exactly what they are building. I looked into the details. The site is Sazan Island in Albania. It is a decommissioned Soviet and Italian military base that has sat abandoned for years. Through Kushner’s firm, Affinity Partners, they are investing $1.4 billion to transform the restricted island into an ultra-luxury eco-resort. To pull this off without ruining the pristine terrain, they partnered with Aman Resorts. Aman is famous for hiring master architects who integrate buildings directly into the natural topography. Major Food Group, the company behind Carbone, is handling the dining. Building a world-class destination from absolute scratch with zero existing power infrastructure is a massive logistical challenge. If they succeed, they will turn a forgotten weapons base into one of the most impressive travel destinations in the world.

Shade the even entries in Pascal’s Triangle (just mod 2) and the Sierpinski Triangle literally emerges from simple addition. This is Lucas’s Theorem unfolding the hidden recursive symmetry buried inside binomial coefficients. > Binary Logic: C(n,k) is odd only if every 1-bit in k’s binary is also a 1-bit in n’s. > Fractal Convergence: Density of odd entries → 0 as rows grow, forming the classic Sierpinski gasket with Hausdorff dimension ≈1.585. > Emergent Complexity: Pure discrete combinatorics spontaneously births continuous fractal topology.

The Schrödinger Equation Can Fold Phase Into Geometry. Density is only half the story. Here, the quantum phase itself twists into moving helicoidal ribbons, while self-gravity from the Schrödinger-Poisson coupling bends and compresses the wavefield into glowing caustics and vortex singularities. Tiny white pearls mark places where the phase becomes undefined topological defects drifting through a self-generated gravitational landscape. #QuantumPhysics# #WaveFunction# #SchrodingerEquation# #ComputationalPhysics# #ScientificVisualization# #Mathematics#

The electron’s magnetic moment is twice what classical physics predicts for a single spinning charge in 3D. This diagram shows why: a Klein bottle in 4D naturally contains two Möbius-strip current loops; one twisting clockwise, the other anti-clockwise; embedded within the same non-orientable surface. The result is a topological explanation for the electron’s g-factor of 2.