((I’ve moved her to the mammoth site but I can still remember when I had the idea for Alephia, it was shortly after telling someone I would probably never make a unicorn character))
Do you remember when you joined Twitter? I do! #MyTwitterAnniversary
Everyone knows that all circles are similar. But did you know that all parabolas are similar?
The ratio of the red arc and the blue focal segment is
√2 + log(1+√2) = 2.29558...
for every parabola.
This is the universal parabolic constant, the “π of parabolas”.
*feels pretty, believes both her literal and figurative milkshakes bring all the stallions to the academic quad, &c.*
(Not pictured: a Clop-Tart™ she sat on two days ago stuck flat to her starboard flank)
Shiver in ecstasy. Mathematics. Pascal’s theorem.
No matter how you choose the red points, the three blue point will lie on a straight line.
The red line is known as the Pascal line of the hexagon.
By @Damasdi_math, Via: https://t.co/VVpq2a57Kw,
In the ring of Gaussian integers (a+bi, where a, b are integers), a lot of the ordinary primes can be factored into Gaussian primes, e.g. 5=(2+i)(2-i). Here are the Gaussian primes with norm less than 1000.