Visual Math Institute

Ralph Abraham, Director

Electric Sheep Data

Preliminary Results

From flock 165 of March -- October, 2004, with 6,380 sheep.
  • Table of Flames
    This is a 3 by 3 tableau of exemplary flames from flock 165
  • Histogram 01
    Number of sheep vs rating
  • Scatterplot 01
    Rating vs fractal dimension
    NOTE: Fractal dimensions are subject to jitter (less than 1%)
  • From flock 165 with the 684 highest ranking sheep only.
  • Histogram 02, Freq vs Rating, 21 April 2005
    Number of sheep (labelled "frequency") receiving given rating (mislabelled as "# Votes")
    i.e., 149 sheep received rating 2, 119 received rating 3, etc.
  • Histogram 03, Freq vs Dimension
    Number of sheep in fractal dimension ranges;
    i.e., 125 sheep have fractal dimension between 1.6 and 1.69,
    37 sheep have fractal dimension between 1.3 and 1.39, etc.
  • Scatterplot 02, Rating vs Dimension
    Rating vs fractal dimension (similar to Scatterplot 01 above but with sheep receiving votes of -1, 0, and 1 omitted).
  • Histogram, Freq vs Dimension, 06 May 2005
    Number of sheep ("count") vs fractal dimension
    More accurate than Histogram 03
    Most popular dimension is 1.56
  • Histogram 2D, Freq vs Rating and Dimension 06 May 2005
    Number of sheep ("count") vs max rating and fractal dimension
  • Time Series Data

    Here, the reduced data for flock 165 (684 sheep) are here chunked into 11 chunks
    of about two-week duration. The results are displayed various way:
    relative and cumulative counts, average, and mode (most popular)
    dimensions computed in each chunk, T1,..., T11.
  • Count vs dim and time, 1
    2D histogram of CUMULATIVE count vs dim and time
    Wire-frame display
  • Count vs dim and time, 2
    2D histogram of CUMULATIVE count vs dim and time
    Color bar display
  • Favorite dim vs time
    Graph of average and modal dim vs time
  • Animated histogram
  • we start of with a 1D histogram for each time chunk
    and then compute the relative % within a given range;
    for example, in T=1, approx. 23% of the sheep had
    dim around 1.7.
  • then the 1D histograms, count (as percent of the 684 sheep))
    vs dim, for each chunk, animated in sequential time
    are combined into an 11 frame animated GIF, 72 KB.

  • Revised 20 May 2005 by Ralph Abraham