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research#llm📝 BlogAnalyzed: Jan 21, 2026 18:03

Snowbunny: A Glimpse into the Future of Gemini 3.5?

Published:Jan 21, 2026 17:15
1 min read
r/singularity

Analysis

Excitement is building around Snowbunny, potentially hinting at the capabilities of a new Gemini 3.5 early checkpoint. This early look sparks excitement for advancements in AI, suggesting promising improvements and performance boosts in the near future.
Reference

“The article references Snowbunny as a potential early glimpse into future AI capabilities.”

Permalinkr/singularity
Research Paper#Geometry, Hyperbolic Geometry, Circle Packing🔬 ResearchAnalyzed: Jan 3, 2026 17:06

Penny Graphs in Hyperbolic Plane: Bounds on Touching Circle Pairs

Published:Dec 31, 2025 12:53
1 min read
ArXiv

Analysis

This paper investigates the maximum number of touching pairs in a packing of congruent circles in the hyperbolic plane. It provides upper and lower bounds for this number, extending previous work on Euclidean and specific hyperbolic tilings. The results are relevant to understanding the geometric properties of circle packings in non-Euclidean spaces and have implications for optimization problems in these spaces.
Reference

“The paper proves that for certain values of the circle diameter, the number of touching pairs is less than that from a specific spiral construction, which is conjectured to be extremal.”

PermalinkArXiv