Shapes Flashcards
(5 cards)
1
Q
the study of figures/shapes in a space
A
geometry
2
Q
There is no nonvanishing continuous tangent vector field on the sphere.
A
Hairy ball theorem
3
Q
just like a circle, has constant width. It will produce a smooth ride on flat surfaces.
A
Reuleaux Triangle
4
Q
____, in his book ______, wrote that all matter in the Universe is governed by four elements: Water, Fire, Air and Earth.
A
Plato, timaeus
5
Q
a powerful result in differential geometry.
It asserts that the Gaussian curvature of a surface does not change if one bends the surface without stretching it.
(think) corrugated cardboard
A
Carl Friedrich Gauss’s Theorema Egregium
