Single-pen architecture and double-pen architecture are
architectural style
An architectural style is a classification of buildings (and nonbuilding structures) based on a set of characteristics and features, including overall appearance, arrangement of the components, method of construction, building materials used, for ...
s for design of log, and sometimes stone or brick pioneer houses found in the United States. A single pen is just one unit: a rectangle of four walls of a log cabin. In double pen architecture, two log pens are built and those are joined by a roof over a breezeway in between.
A saddlebag house is a subset of double-pen architecture with two rooms, a central chimney, and one or two front doors.
See also
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Dog trot architecture
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Central-passage house
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Slave pen
References
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Architectural styles
Log buildings and structures in the United States