Positive Curvature: Maximum Area of Equilateral Triangle

Thread starter randa177
Start date Jun 16, 2008
Tags

Curvature Positive

AI Thread Summary

The maximum area of an equilateral triangle on positive curvature is a topic of mathematical interest, specifically in the context of geometry on curved surfaces. Participants express confusion about the relevance of this topic to physics and cosmology, indicating a desire for clarity on the mathematical principles involved. The discussion highlights the need for understanding how geometry differs in curved spaces compared to flat surfaces. Questions arise about the specific calculations and theories that apply to determining the area of such triangles in positive curvature. Overall, the conversation centers on the intersection of geometry and its implications in broader scientific contexts.

Jun 16, 2008

randa177

what's the maximum area of an equilateral triangle that can be drawn on a positive curvature?

Space news on Phys.org

Jun 16, 2008

Fluxman

Sounds like math, not cosmology.

Jun 16, 2008

MiltMeyers

I signed on to this forum as a physics and Math help forum, did I read it wrong? Yes I would also like to know the max area on curved space?

milt

Thread 'Matter density right after the decoupling'

https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.

View full post »

Thread 'Hubble tension -- any resolution?'

A few years back there was an issue called the Hubble tension where the observations were nor matching up to predictions when looking at the Early and late time data. I had heard that one possible explanation is due to our being in an underdense region but have also read a counter paper to this. Has there been any resolution or is the issue still being resolved ?

View full post »

Thread 'Hubble Constant, Dark Energy and the Expanding Universe'

Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?

View full post »