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15
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Proof for the existence of a second fixed point in Poincaré's last geometric theorem

Published on
#algebraic-topology #dynamical-systems #fixed-point-theorems #symplectic-geometry #billiards
4.6k
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Launching billiard balls at 45 degree angles and bouncing of off edges.

Published on
#number-theory #billiards
210
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Infinitely many triangular numbers which are of form $n^2-1$

Published on
#square-numbers #billiards
92
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About a theorem by Mather on smooth convex billiards

Published on
#differential-geometry #reference-request #algebraic-topology #billiards
767
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Polygonal billiards and uniform distribution

Published on
#dynamical-systems #random #billiards
227
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Number of rays intersecting at a point inside a polygon

Published on
#geometry #contest-math #euclidean-geometry #recreational-mathematics #billiards
185
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Phase space and collision map of a billiard

Published on
#general-topology #dynamical-systems #billiards
110
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Sinai billiard isomorphic to hard spheres problem

Published on
#dynamical-systems #ergodic-theory #billiards
223
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Rectangular billiards: ergodic or not?

Published on
#dynamical-systems #mathematical-physics #ergodic-theory #chaos-theory #billiards
161
Views

Application of billiards

Published on
#big-list #applications #billiards
139
Views

Law of reflection when tangent is undefined

Published on
#geometry #algebra-precalculus #reflection #billiards
861
Views

Proving a billiards bank shot procedure gives equal angles of incidence and reflection

Published on
#geometry #proof-explanation #euclidean-geometry #triangles #billiards
226
Views

Using a simulation to show that any obtuse triangle whose largest angle is $\leq100^{\circ}$ has a stable periodic billiard orbit

Published on
#geometry #computational-mathematics #billiards
44
Views

Motivation for the definition of a compact Riemann manifold with piecewise smooth boundary

Published on
#manifolds #riemannian-geometry #smooth-manifolds #compact-manifolds #billiards
61
Views

Particular values for the sum of divisors function from billiards

Published on
#elementary-number-theory #gcd-and-lcm #divisor-sum #tiling #billiards

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