ðə dʒiˈɑːmətɹi ʌv ðiːz hˌaɪpɚplˈeɪnz kæn biː tɹˈiːɾᵻd baɪ jˈuːzɪŋ ðə ɡˈeɪn ɡɹˈæf wɪððə sˈeɪm vˈɜːtɛks sˈɛt ænd ɐn ˈɛdʒ ˈɪdʒ wɪð ɡˈeɪn dʒˈiː ɪnðə dᵻɹˈɛkʃən fɹʌm ˈaɪ tə dʒˈeɪ fɔːɹ ˈiːtʃ hˌaɪpɚplˈeɪn wɪð ᵻkwˈeɪʒən ˌɛksdʒˈeɪ ˈiːkwəlz
The geometry of these hyperplanes can be treated by using the gain graph with the same vertex set and an edge ij with gain g (in the direction from i to j) for each hyperplane with equation xj =