Archive for February, 2009

Binomial distribution 80’s style

Friday, February 13th, 2009

binomial

Here’s the binomial distribution 80’s style. Each click generates a series of n independent Bernoulli trials resulting in a random variable Y which is the number of successes. The probability function of Y is:

p(y)=\binom{n}{y}p^yq^{n-y}, y=0,1, \cdots ,n

where \binom{n}{y}=\frac{n!}{y!(n-y)!}

Finite projective plane of order 3

Wednesday, February 11th, 2009

This painting is derived from a finite projective plane of order 3.

Number of points and lines n^2+n+1=13. Each line is incident with n+1=4 points, each point is incident with four lines. The projective plane corresponds to this cyclic block design which has thirteen varieties arranged in thirteen blocks of size 4.

Geological

Saturday, February 7th, 2009

There are small, persistent landslides from these cliffs every few minutes. Sometimes they can’t be seen, but you can hear the hissing noise. This is the result.

The beach has many blocks of stone containing fossillised shells. Lots of these stones have live barnacles and limpets firmly attached. It’s hard to tell what they think of their ancestors, but not that much seems to have changed over time.

A balanced incomplete block design

Saturday, February 7th, 2009

fano

\lambda = 1, r=v=4