Extension To Multiple States
A further extension of Langton's Ants is to consider multiple states of the Turing machine - as if the ant itself has a color that can change. These ants are called turmites, a contraction of "Turing machine termites". Common behaviours include the production of highways, chaotic growth and spiral growth.
- Some example turmites:
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Spiral growth.
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Semi-chaotic growth.
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Production of a highway after a period of chaotic growth.
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Chaotic growth with a distinctive texture.
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Growth with a distinctive texture inside an expanding frame.
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Constructing a Fibonacci spiral.
Read more about this topic: Langton's Ant
Famous quotes containing the words extension, multiple and/or states:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
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“[Urging the national government] to eradicate local prejudices and mistaken rivalships to consolidate the affairs of the states into one harmonious interest.”
—James Madison (1751–1836)