Thermonuclear supernova explosions from different progenitor systems Thermonuclear explosions of white dwarfs are thought to explain Type Ia supernovae (SNe Ia) -- but it is still unclear how these explosions come about and how they proceed in detail. This is a fundamental problem as SNe Ia are key players in many fields of astrophysics including galactic chemical evolution and observational cosmology. Since their progenitors elude observation as well as modeling, I will argue that simulations of explosions arising from different scenarios can help to overcome the problem. A new generation of three-dimensional hydrodynamic explosion simulations in combination with radiative transfer calculations allows us to predict observables that can be directly compared to astronomical data. Avoiding tunable parameters in the models, conclusions on progenitor properties are possible. Contradicting 'textbook wisdom', recent results demonstrated that a normal SN Ia does not necessarily require the explosion of a Chandrasekhar-mass white dwarf, but they also do not rule out this possibility. While the question of the progenitor channel responsible for the bulk of objects remains open, the synthesis of modeling and recent observations underpins the emerging picture of SNe Ia being much less homogeneous than previously thought. This could complicate their use as cosmic distance indicators.