Ripples from the Past

February 12, 2016 Leave a comment

ligo01

 

ligo02

Categories: Uncategorized

Sinister

February 11, 2016 Leave a comment

This post is a small exploration of the A model balancing cooperation and competition can explain our right-handed world and the dominance of left-handed athletes.

I explore the model:

zleft02

where l(t) is the fraction of left handers in the population and  the cooperation and competitve (sigmoid) functions used are from another paper by the same authors.

 

The dynamics are explored for some values of cooperative function, coupling constant:

zleft03

Critical points: red dl/dt>0, dl/dt>0:

zleft04

 

and exploration with varying initial population of left handers showing pitchfork bifurcation behaviour:

zleft01

 

This is a very interesting paper. Perhaps, other people will enjoy it.

 

Categories: Mathematica, Mathematics

Rolling stone

February 10, 2016 Leave a comment

This post is an exploration of curves with constant width:
cwc

Categories: Mathematica, Mathematics

Hidden Beauty

January 25, 2016 Leave a comment

This post is motivated by replication of a tweet gif (based on the cosmic dance of earth and venus: an approximation assuming circular orbit and approximate periods):

cosmicdance2

Categories: Uncategorized

Going in Circles…

December 21, 2015 Leave a comment

I continue my “wild” theme of exploring Professor Wildberger’s jewels on Youtube. The following animated gif shows hyperbolic circles (using the quadrance concept). The circles are centred at the red (moving point) and the contour labels are the quadrances. Note the tangent lines which connect with unit circle have quadrance 0 and the qualitative change of points inside and outside the unit circle.

hc

Categories: Mathematica, Mathematics

Monkeying Around

December 17, 2015 Leave a comment

The  “monkey saddle” is an interesting surface. In the following  the left panel is parametric space, the middle panel the surface and the third panel a plot of the curvature as function of parameters (parametrization:{u,v,u^3-3uv^2}. with value at point in parameter space below the graphic.

 

cmo

Categories: Mathematica, Mathematics

Ghostly quadrics everywhere…

December 17, 2015 Leave a comment

I continue my posts motivated by Professor Wildberger’s lectures. This post explores confocal quadrics:

 

confocal

Categories: Uncategorized
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