Dodecahedra

I have an indefinite number of regular dodecahedra, indistinguishable in appearance from each other. I have pots of red and blue paint. If each face of each dodecahedra is to be painted red or blue, how many dodecahedra which are distinguishable from each other shall I be able to produce?

is dodecahedra dodecahedron

Originally posted by Banana King
is dodecahedra dodecahedron

honhon

Originally posted by Banana King
is dodecahedra dodecahedron

2.8795069384756325930650261534

Originally posted by wolfgang59
singular - dodecahedron
plural - dodecahedra

114

Originally posted by Thomaster
114

Originally posted by Banana King
ok i was taught the obvious "dodecahedrons"

Is this about Mr. Burnside and his Lemma?

Originally posted by AThousandYoung
The obvious is "twelve sided dice" 😛

Originally posted by Banana King
ok i was taught the obvious "dodecahedrons"

Originally posted by wishboneash
I have an indefinite number of regular dodecahedra, indistinguishable in appearance from each other. I have pots of red and blue paint. If each face of each dodecahedra is to be painted red or blue, how many dodecahedra which are distinguishable from each other shall I be able to produce?

Originally posted by LemonJello
the approach I used is not very elegant...