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StackExchange archive

Archives of various questions and answers on StackExchange that I found useful, insightful, or interesting. StackExchange user contributions are licensed CC BY-SA; thus, so are any edits I make for readability or presentation in gemtext format.

Mathematics

Can real numbers be considered “even” or “odd”?

How many digits does the integer zero have?

Complex numbers

Imaginary Golden Ratio

Is the imaginary number i really both algebraic and and irrational?

Geometry

Complex Number solutions for a Circle

Hypercomplex numbers

Is there a meaningful way to define ij?

Square roots of j and ε

Calculus of j^j, i^j, and j^i

Is split-complex j=i+2ϵ?

Worldbuilding

Alien biology

How does a species who cannot distinguish left from right build their cities?

How often must carnivorous grassland eat?

Alternate geometries

Could this non-Hausdorff world with two skies be logically coherent?

Planet with infinite overlapping surface on an axis

If one of the spatial directions wrapped around...

Strategic Value of a line of symmetry

Is there a good geometric analogy for a ‘trap’ dimension that you can stumble into easily but is very hard to exit?

Infinite flat world

Hyperbolic geometry

How to navigate the hyperbolic world

What would conditions be like at the hyperbolic horizon?

Astronomy

What if we lived near a boundary of the universe?

Geology

Could a land mass reasonably exist where I want it on my earth-like binary planet?

Law and order

In a world where everyone has a tracking implant, how might those be subverted?

Religion

Would a vampire still be able to be a practicing Muslim?

How would Muslims adapt to follow their prayer rituals in the loss of Earth?

How to appease the Goddess of Traffic Lights

Time travel and manipulation

Maximum Survivable Time Distortion Factor?

What happens at the interface between two universes with opposite thermodynamic arrows of time?

How to hide from the world that you are a “Groundhogger”?