Math General Knowledge #2

Hint

Answer

Number of regular plane tesselations

Number of semi-regular plane tesselations

Number of Archimedean solids

Regular polychora

Reflection of the median across the angle bisector

Isogonal conjugate of the circumcentre

Circumcircle of the midpoints of the sides of a triangle

Result of colouring Pascal's triangle by parity

Pascal's first name

States that Pythagorean triples with higher exponents do not exist

States that a^b - c^d = 1 has only 1 integer solution when all 4 variables are greater than 1

A prime p, where 2p+1 is prime

States that there exist arbitrarily long arithmetic progressions of prime numbers

What the "fi" in Fibonacci stands for

Fibonacci sequence, but starting with 2, 1, ...

States that a spherical triangle on a unit sphere has area equal to the sum of its angles, minus pi

States that two triangles are in perspective axially if and only if they are in perspective centrally

Namesake of the Cartesian plane (first name required)

Reflection of a complex number across the real axis

States that any continuous function mapping a compact convex non-empty set into itself maps a point to itself

4-dimensional extension of complex numbers

Euler Characteristic of a torus

Loop that, when chopped in half, remains a loop

Object that, when chopped in half, gives the previous answer

The product of a gross, a dozen, and a score

A non-disjoint graph whose vertices all have even degree contains an...

French Mathematician; died aged 20 from a duel

Alice in Wonderland author (pen and real names)