#analytical geometry

Why does synthetical geometry exist??? .·°՞(¯□¯)՞°·.

VISUALIZING THE FOURTH DIMENSION: ALICIA BOOLE STOTT

The Anglo-Irish daughter of mathematian George Boole (the creator of Boolean algebra) Alicia Boole (1860-1940) received instructions in mathematics from Princeton mathematician Charles Hinton. She was 17 years old when Hinton introduced her to geometric models and she quickly developed the ability to visualize in a fourth dimension.

Boole-Stott calculated the three-dimensional sections of regular four-dimensional polytopes (that is, the analogies to the Platonic Solids in four dimensions) and discovered many of the four-dimensional semi-regular polytopes . She also found that there were exactly six regular polytopes in four dimensions and that they are bounded by 5, 16 or 600 tetrahedra, 8 cubes, 24 octahedra or 120 dodecahedra. She then produced three-dimensional central cross-sections of all the six regular polytopes by purely Euclidean constructions and synthetic methods for the simple reason that she had never learned any analytic geometry.

Boole is renowned for her drawings and paper models of polytope cross-sections.

well, hi!

this is my first post. it’s looking messy and not looking good because i’m really tired. I’ve been studying since 2pm, now it’s 1am and i’m dying. i can’t even understand what i’m studying now, so i decided to stop

I have an exam tuesday, and i’m not very well prepared, but i’m trying my hardest. It’s been hard, really hard. but i’m going to try my hardest.