Engaging in the process of selecting custom windows for your home can be both an enriching and daunting task, given the plethora of options that abound in today's technologically advanced market. This endeavor involves a considerable amount of decision-making and strategic planning, which can be facilitated by the conscientious posing of pertinent questions to your chosen custom window maker. Not unlike Socratic inquiry, these queries can help elucidate the subtleties and nuances involved in the window-making process, so as to ensure you derive maximum functionality and aesthetics from your investment.

The lexicon of custom window making encompasses a broad range of terminologies that are crucial to the effective planning and execution of your window selection. One such term is "fenestration", which is drawn from the Latin word "fenestra" meaning window. Fenestration refers to the design and arrangement of windows and other glazed elements in a building. Understanding fenestration can aid you in discerning how your windows will interact with the overall architectural integrity of your home, thus making it a key area of discussion with your window maker.

The first question should be centered around the material used for the window frames. The common materials are vinyl, wood, aluminum, and fiberglass. Each has its own set of characteristics and tradeoffs. For instance, wood is classic and offers great insulation but requires regular maintenance. Vinyl, on the other hand, is less expensive and maintenance-free but can have limitations in terms of color choices.

Ergo, a key area of your inquiry should be the material's durability, aesthetic appeal, maintenance requirements, and energy efficiency. This necessitates a discussion about the U-value (a measure of heat flow through the material) and the R-value (which measures the resistance to heat flow) of the materials used. This will allow for an informed decision on the tradeoff between upfront cost and long-term energy savings.

The next query should focus on the nature of the glazing, which refers to the glass portion of the window. Glazing can be single, double, or triple, with the latter two involving multiple glass panes separated by an air or gas-filled space for improved insulation. Here, the concepts of mathematical statistics come into play, as a double-glazed window does not necessarily offer twice the insulation of a single-glazed one due to the law of diminishing returns.

Moreover, the choice of gas between the panes can significantly affect the window's insulation properties. Argon or krypton gas, for instance, provide superior insulation compared to air but are more expensive. Thus, it is necessary to question the comparative thermal performance of different glazing types and determine their suitability relative to the local climate and orientation of your windows.

The third question should probe into the window style and how it aligns with the architectural tenets of your home. Be it casement, double-hung, sliding or bay windows, each exhibits a unique blend of aesthetics, functionality, and ventilation. Therefore, one should attempt to juxtapose these window styles against the backdrop of their home's design ethos.

Lastly, in keeping with the principles of contract law that underscore the importance of a well-defined scope of work, it is imperative to question the window maker about the installation process. This should cover timelines, disruptions, warranties, and after-sales service.

In sum, the process of choosing custom windows for your home is a complex yet rewarding task, steeped in the knowledge of design principles, material science, statistical considerations, and even legal nuances. By asking the right questions of your custom window maker, you can ensure that your new windows enhance your home's aesthetics, energy efficiency, and comfort for years to come.