wˌʌts mˈoːɹ, ɪt mˈʌst biː ðə sˈeɪm ɹˈæʃənəl nˈʌmbɚ fɔːɹ ˈɔːl ɹˈeɪdɪˌaɪ, sˈɪns bˈeɪɾə kænˈɑːt tʃˈeɪndʒ kəntˈɪnjuːəsli; ðə ɹˈæʃənəl nˈʌmbɚz ɑːɹ tˈoʊɾəli dɪskənˈɛktᵻd fɹʌm wˈʌn ɐnˈʌðɚ.
What's more, it must be the same rational number for all radii, since β cannot change continuously; the rational numbers are totally disconnected from one another.