How the Membership Works
- Choose the plumbing principles that apply to your home.
- Select how many principles you want protected.
- Receive the same membership benefits across all covered principles.
System Principles
Each principle corresponds to a physical plumbing system in your home. The name reflects how that system behaves and how it must be maintained over time.
Membership Benefits (Uniform Across All Principles)
Every Fibonacci Membership includes the same core benefits, regardless of which principles are covered. The only difference between membership options is how many principles are protected.
- Annual inspection for each covered principle
- Priority scheduling
- Membership pricing
- Extended Precision Guarantee on qualifying work
- Consistent service standards across all services
Principle 1 — Fibonacci
System: Water
Coverage includes: Water supply piping, water mains, water pressure, pressure reducing valves (PRVs), leak detection, and overall water flow throughout the home.
Why Fibonacci: Water systems change gradually. Small pressure shifts, minor leaks, and flow restrictions develop predictably before failure occurs.
Mathematical insight: Fibonacci sequences describe systems where small changes compound over time. Water behaves the same way—patterns appear long before disruption.
Principle 2 — Descartes
System: Waste
Coverage includes: Drain piping, venting, branch lines, vertical stacks, clean-outs, and the building sewer connection.
Why Descartes: Waste systems rely on direction and layout to function properly.
Mathematical insight: Descartes’ coordinate logic mirrors gravity-based drainage. When slope, alignment, or routing is incorrect, waste movement fails.
Principle 3 — Pythagoras
System: Valves & Controls
Coverage includes: Shut-off valves, angle stops, hose bibs, back-flow devices, and plumbing control points.
Why Pythagoras: Control points must fit and align precisely.
Mathematical insight: Geometric accuracy governs sealing and operation. Small misalignments create stress, leaks, and failure.
Principle 5 — Euclid
System: Gas
Coverage includes: Gas supply piping, shut-off valves, appliance connectors, sediment traps (drip legs), supports and clearances, and visible leak inspection of accessible gas components.
Why Euclid: Gas systems are governed by strict rules.
Mathematical insight: Like Euclidean axioms, gas safety depends on exact adherence to defined constraints. There is no tolerance for approximation.
Principle 8 — Archimedes
System: Water Heaters & Appliances
Coverage includes: Water heaters, recirculation pumps, sump pumps and battery backups, discharge piping, temperature and pressure relief components, expansion tanks, and visible connections serving plumbing-related appliances.
Why Archimedes: These systems operate under pressure and force.
Mathematical insight: Failure occurs when pressure, flow, or thermal expansion exceeds design limits. Balance is essential.
Principle 13 — Da Vinci
System: Whole-Home
Coverage includes: All plumbing systems managed together under one consistent standard of care.
Why Da Vinci: Homes function as integrated systems, not isolated parts.
Mathematical insight: Reliability depends on interaction. Water, waste, gas, and appliances influence one another as a single network.
Service Bundles
Ready to Build Your Coverage?
Protect 2 principles, expand to 3 or 4 principles, or protect the entire home. That’s the Fibonacci Membership — built on fundamentals, designed for clarity, and engineered to last.
Bundling Your Coverage (Euler Logic)
Homes rarely fail one system at a time. Most problems occur where systems intersect.
Why Euler: Leonhard Euler connected separate mathematical ideas into unified frameworks. His work didn’t replace systems—it linked them.
Bundling principles isn’t about better benefits. It’s about managing related systems together so they function smoothly without gaps or overlap.
Euler Pair
- Choose any 2 principles
- Full Fibonacci Membership benefits apply to both.
Euler Series
- Choose any 3 or 4 principles
- The same benefits apply—extended across more of the home.
Da Vinci Whole-Home Coverage
All principles. One standard. This option protects the entire home under one plan. Euler connects systems. Da Vinci integrates them. Homes with full coverage meet the Da Vinci Standard.
The Precision Guarantee (Extended)
Every Fibonacci Membership is backed by the Axis Mechanical Precision Guarantee — a commitment to do the job right, document the work, and stand behind it long after service is complete.
How We Learn: The Journey Reflected in Your Membership
At the heart of the Fibonacci Membership is a simple idea: it mirrors the way people naturally learn and understand the world around them.
We begin the way Fibonacci did—by noticing patterns. In homes, those patterns show up in how systems age, how pressure changes, and how small issues repeat themselves over time. From there, we bring in structure and clarity, much like Descartes, organizing what we see so it can be properly understood.
Next, we measure relationships, following the thinking of Pythagoras—how one part of a system affects another. We then test and prove what works, the way Euclid built knowledge through logic and consistency. Finally, we apply all of that understanding in real-world situations, just as Da Vinci blended observation, science, and practical application into one complete approach.
That same learning journey is built into the Fibonacci Membership. Each step reflects a deeper level of understanding and care—mirroring how homeowners come to understand their plumbing systems and how Axis Mechanical approaches every home: thoughtfully, systematically, and with precision.
Built the Same Way Axis Mechanical Was Built
Axis Mechanical wasn’t built quickly—and it wasn’t built by chance. It was built by paying attention.
Over time, we learned how plumbing systems behave, how homes age, and how small issues can quietly grow into major problems. That mindset echoes the same principles shared by Fibonacci, Descartes, Pythagoras, Euclid, and Da Vinci—observe first, understand the system, and apply knowledge with intention.
Long before there was a membership program, there was a way of working: slow down, understand the whole system, fix the cause—not just the symptom—and do the job right the first time. That approach shaped every service call, every repair, and every long-term recommendation.
The Fibonacci Membership grew naturally from that process.
As we worked in more homes, clear patterns emerged. Homes don’t fail all at once. Plumbing systems give warning signs. Problems follow predictable paths. When those signals are recognized early, breakdowns can often be prevented. When they’re ignored, minor issues turn into costly emergencies.
Instead of building a membership around discounts or visit frequency, Axis Mechanical built one around principles—the fundamental rules that govern how plumbing systems function, age, and fail.
You don’t need to understand the philosophy behind it to benefit from it. You simply choose the level of protection that fits your home—or protect everything under one trusted standard.
