What was the relationship between Doug Vakoch and Philip Lubin

The story is about the different ways scientists use maths. Vakoch said they don't need extra terrestrial to speak English or German so they need to look  into mathematics.

He said even in 1820, the astronomers used geometry. One scientist suggested in drawing triangles. Another suggested in making a circle and filling it with kerosene so when lit, it can be seen from space at night.

Then they used the binary system and some codes to send messages. Then they used pictures and started with simple counting.

sensory details?

so i`m assuming you are writing something from a bats (the animal) point of view. if this is the case, you can use sights, sounds, feelings, and tastes.

and idk what you mean by domain, but all of the sensory details will depend on where the bat is.

a bat doesn't see color very well, so its surroundings will be dulled.

it can hear super well. so maybe it can hear the insects on the ground

feelings. you can imagine how a bat would feel from its perspective. it all depends on where it lives.

maybe it can taste the salt in the air, or smell water, or something. all of these details are completely dependent on where it is located.

hope this .

two factors or characteristics of a chapter that might make it difficult to read would be words i don't understand, or if i don't fully understand what's going on in the chapter. strategies i can use to get through the difficult material would be a dictionary, and re-reading previous chapters to get a better grasp of what the author is trying to say.