Abstract: In a preferred embodiment a frameless building includes a first set of four walls each in the form of a profiled trapezoidal shaped wall panel. Each panel includes a left and right side set of sub-panels each set comprising a bottom, middle and a top sub-panel. The left side edge or one panel is attached to the right side edge of another panel. All the panels are attached in this manner to lean towards one another and towards the inside of the building. A profile between the top and bottom edges of each panel defines a plurality of Ls. One L proceeds into another L, a first leg of an L facing upwards and a second leg of the L outwards when travelling between the top and bottom edges. This profile allows for thermal insulating screed to be applied to the outer surfaces of each panel; structural rigidity; stackability of similar sub-panels and for solar heating. Alternative to the screed a second set can be arranged over the first set of wall panels and insulating filler material provided between the two sets.