To the untrained eye, the maze looks like the most complicated snowflake.
But to the puzzle-lovers among us, it probably looks like a challenge.
The teams maze works similarly; it is an assemblage of Hamiltonian cycles in quasicrystals.
A Hamiltonian cycle.© The University of Bristol
Dont worry, well explain.
A detailed explanation of the mazes construction was accepted forpublicationinPhysical Review X.
The sizes of subsequent mazes grow exponentially and there are an infinite number of them.
© Ilmari Karonen / Wikimedia Commons
Quasicrystals are a rare punch in of matter.
Ordinary crystals have periodic structures, meaning their building blocks regularly repeat.
With quasicrystals, suddenly, an infinitude of possibilities is available to you.
A Hamiltonian cycle.
Quasicrystals in nature form in rare circumstances.
The recent team introduced an algorithm for building Hamiltonian graph cycles on top of two-dimensional spaces called Ammann-Beenker tilings.
The team says that these two-dimensional mazes show the Hamiltonian cycles mimicking a quasicrystals atomic patterns.
We show that certain quasicrystals provide a special case in which the problem is unexpectedly simple, Flicker said.
In this setting, we therefore render some seemingly-impossible problems tractable.
This could include practical purposes spanning different realms of science.
Indeed, there are scientific implications for the pattern.
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