Lattice Bulbs

Muhammad's Light Lattice 125 points

Eight light bulbs are placed on the eight lattice points (±1,±1,±1). Each light bulb can either be turned on or off. However, the lightbulbs are unstable, and if two light bulbs with distance less than or equal to 2 are on simultaneously, both lights explode. How many possible configurations of on/off light bulbs exist if no explosions occur?

[Live Brilliant question. Locked - Calvin]

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Comments

HEY! This is a live question! Please delete this discussion immediately.

Bob Krueger - 7 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$