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We construct an idealized universe for didactic purposes. This universe isassumed to consist of absolute Euclidean space and to be filled with aclassical medium which allows for sound waves. A known solution to the waveequation describing the dynamics of the medium is a standing spherical wave.Although this is a problem of classical mechanics, we demonstrate that theLorentz transformation is required to generate a moving solution from thestationary one. Both solutions are here collectively referred to as "spherons".These spherons exhibit properties which have analogues in the physicaldescription of matter with rest mass, among them de Broglie like phase wavesand at the same time "relativistic" effects such as contraction and a speedlimit. This leads to a theory of special relativity by assuming the point ofview of an observer made of such spheronic "matter". The argument made here maythus be useful as a visualisation or didactic approach to the real universe, inwhich matter has wave-like properties and obeys the laws of special relativity.

The spheronic toy universe: how special relativity may be visualized to emerge from a wave-nature of matter