FIBONNACI.COMGoldenSpiral

Terms of Service

Last updated: August 7, 2026

Introduction

Welcome to GoldenSpiral (“we,” “our,” or “us”). These Terms of Service (“Terms”) govern your use of our website at www.fibonnaci.com and all associated calculators, guides, and services (collectively, the “Service”).

By accessing or using the Service, you agree to be bound by these Terms. If you disagree with any part of them, please do not use the Service.

Acceptance of Terms

By accessing, browsing, or using GoldenSpiral, you acknowledge that you have read, understood, and agree to be bound by these Terms and our Privacy Policy, which is incorporated by reference.

We may update these Terms at any time. Your continued use of the Service after changes are posted constitutes acceptance of the revised Terms.

Educational Tools — Not Certified Engineering or Academic Advice

GoldenSpiral’s calculators are learning and reference tools. They apply standard, published formulas to the values you enter and round results for readability, so a result depends entirely on your input and on the documented scope of each formula. This applies to every tool on the Service: the Fibonacci calculator and Lucas number calculator(Binet’s formula, capped at term 70 for exact double-precision results), the golden ratio calculator (proportional division), the modular scale generator (a geometric size sequence), the golden spiral & phyllotaxis calculator (Vogel’s model), and the golden ratio grid (a proportional composition guide). All of them produce general, formula-based results, not certified, professionally-stamped, or academically peer-reviewed output.

Blog articles and learn-section entries that discuss historical or biological claims involving the golden ratio (for example, claims about specific artworks, buildings, or organisms) reflect our understanding of the current, generally accepted scholarship, and are provided for general educational interest. They are not a substitute for consulting primary academic sources if you intend to cite a specific claim in formal work.

Description of Service

GoldenSpiral provides free, browser-based calculators and educational resources, including:

All tools are provided free of charge. We may modify, suspend, or discontinue any part of the Service at any time.

Your Responsibilities

When using the Service, you agree to:

You are responsible for exercising your own judgment and for never relying on a calculator result in place of coursework guidance, a qualified instructor, or peer-reviewed academic sources where certified accuracy matters.

Accuracy and Disclaimers

While we aim for correct formulas, we cannot guarantee that every calculation is error-free or suited to your circumstances. Results are estimates based on standard, published methods and the figures you provide, and are rounded for display. GoldenSpiral makes no warranties, express or implied, including implied warranties of merchantability, fitness for a particular purpose, or non-infringement.

Intellectual Property

All content on this website — text, graphics, logos, tools, calculators, and software — is the property of GoldenSpiral or its content suppliers and is protected by applicable copyright and other laws. You may use the tools for personal and educational purposes; you may not copy, resell, or reverse engineer them, or remove proprietary notices.

Limitation of Liability

In no event shall GoldenSpiral or its suppliers be liable for any damages arising out of your use of, or inability to use, the Service, even if we have been advised of the possibility of such damages.

Third-Party Links and Ads

The Service may link to third-party websites and displays third-party advertisements, and some pages include Amazon affiliate links as described in our Affiliate Disclosure. We do not control and are not responsible for third-party content, and inclusion of a link or ad is not an endorsement. Your use of any third-party site is at your own risk.

Governing Law

These Terms are governed by and construed in accordance with the laws of the United States, and you submit to the exclusive jurisdiction of the courts located there.

Contact Information