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2009, Ursula Muscheler, Sternstunden der Architektur: von den Pyramiden bis zum Turmbau von Dubai (Beck'sche Reihe), C.H.Beck, →ISBN, →OCLC, page 19:
Im Inneren befindet sich eine 4 auf 6 Meter große und 5 Meter hohe Grabkamme . Vor der Pyramide standen vier Säulen , die vermutlich Bronzestatuen des Cestius trugen.
Auf is a Wechselpräposition, meaning that it is used with accusative case when the verb shows movement from one place to another, whereas it is used with dative case when the verb shows location. In idiomatic combinations with verbs the correct case is not always predictable and must be memorised.
Generally speaking, auf is used when referring to something being on a horizontal surface, as opposed to an, which usually points to a vertical surface.
Auf is used with language names not preceded by any determiners or adjectives; otherwise in is used. Thus you say something auf Englisch(“in English”), but in gutem Englisch(“in good English”). The phrase auf gutem Englisch may not be entirely ungrammatical, but it is doubtful and at most informally acceptable.