Elementa doctrinae solidorum

Euler, L. (1736). Elementa doctrinae solidorum. Solutio problematis ad geometriam situs pertinentis, 4.

Type

Journal article

Intellectual base

Primary research

Year

1736

Volume

4

Link

no authoritative link yet

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Primes

• Invariance
  • … rather than at the finer level of raw configurations, and this descent is the mechanism by which symmetries generate conservation laws (Noether's theorem gives the continuous-group version — each continuous symmetry of the action corresponds to a conserved quantity), topological invariants (genus, Euler characteristic
• Topology
  • The principal invariants are the Euler characteristic $\chi$ (an alternating sum that for closed orientable 2-manifolds equals $2 - 2g$ where $g$ is the genus, generalising Euler's polyhedron formula $V - E + F = 2$ for spheres

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