1010 Complex Lines

This series contains the 100 most complex lines (according to Claude Shannon's entropy theorem) from my database of cursor lines. These 100 lines are split up into 10 works, each containing 10 lines.Each line is drawn in a different color.

1010b == 10d

Claude Shannon's entropy is a fundamental concept in information theory that measures the average information content or uncertainty inherent in a set of outcomes. Entropy quantifies the unpredictability of something, such as the information contained in a message or the uncertainty of a series of numbers. The concept is crucial for understanding various aspects of data compression, communication, and cryptography.

Mathematically, the entropy, H, of a discrete random variable with possible outcomes x1, x2, ..., xn, each with probability P(xi), is defined as:

H(X) = -∑i=1n P(xi) logb P(xi)

Here, H(X) is the entropy of the random variable X, P(xi) is the probability of occurrence of the i-th outcome, and logb is the logarithm to the base b. The base of the logarithm is often set to 2, making the unit of entropy bits, but can also be e (natural logarithm) for nats or 10 for Hartleys, depending on the context.

Entropy is a measure of the average rate at which information is produced by a stochastic source of data. The higher the entropy, the greater the unpredictability or disorder in the data set. This concept not only aids in the analysis of information systems but also plays a pivotal role in various applications across computer science and telecommunications.




1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 1/10
hicetnunc/210976

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 2/10
hicetnunc/210984

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 3/10
hicetnunc/210990

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 4/10
hicetnunc/210995

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 5/10
hicetnunc/211005

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 6/10
hicetnunc/1079

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 7/10
hicetnunc/211018

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 8/10
hicetnunc/211024

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 9/10
hicetnunc/1081

1010 complex lines
Industrial wax on paper
594x841mm/23.4x33.1in
ed. 10/10
hicetnunc/211030

Some pictures from the progress of plotting the drawings. It's a custom built plotter to draw 170x100cm sized formats.

1010 complex lines on display at DAM Gallery during the exhibition Concept Line. Left: Jean-Pierre Hébert, Fractured Caustics; Middle: Marcel Schwittlick, 1010 Complex Lines; Right: Marcel Schwittlick, Composition #92

Artist talk at DAM gallery, March 2024