Avraham (Rami) Aizenbud

אברהם (רמי) איזנבוד

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Math Illustrations

Images

Moduli space of triangles

Number of real solutions of cubic equations

Action of sl2 on the upper half plain

Special lines in a triangle

Animations

In order to view the pdf animations properly you have to download them and open them with acrobat, and not with the browser. Otherwise it will just look like series of pictures.

Volume of a pre-image of a short interval w.r.t. a polynomial [pdf animation, gif (2d), gif (3d)]

How to make a circle from a square by piecewise linear-conformal map? [pdf animation, matlab code]

paradoxical decomposition of F2 [pdf animation, gif]

The orientation double cover of the mobius strip [webm]

The fundamental theorem of algebra [pdf animation]

Quasi-Animations

Continued fractions[Golden ratio, e, pi, sqrt(2), 15/4]

Building with a compass and a ruler [pdf animation, matlab code]

The ping pong lemma [pdf]

3d models

You can use on-line viewer for the stl files. For the wrl one have to install an application

Dandelin spheres [stl]

Hopf fibration [wrl]

boy's surface [stl]

Graph of the Riemann zeta function [wrl]

Möbius band with round boundary [stl]

Number of real solutions of cubic equations (3d)[wrl]

A fan of complete non-projective toric variety [stl]

Orbits of the adjoint action of SL2(R) [stl]