Hemispheres Terms

Effective Date: July 28, 2026

These Terms and Conditions (“Terms”) govern your access to and use of the Hemispheres mobile application, the Hemispheres website, and any related content, features, documentation, or services that link to these Terms (collectively, the “Services”).

The Services are provided by AvachaTech, LLC (“AvachaTech,” “we,” “us,” or “our”).

By downloading, accessing, or using the Services, you agree to these Terms. If you do not agree to these Terms, do not download, access, or use the Services.

1. About Hemispheres

Hemispheres is a story-driven mathematical problem-solving game. It presents mathematical scenarios and allows players to construct and submit equations, receive feedback, use hints, review explanations, and track progress.

Hemispheres is intended for recreational and general educational use. It is not a formal curriculum, tutoring service, testing service, professional certification program, or substitute for instruction from a qualified teacher or other educational professional.

2. Eligibility

You may use the Services only if you can legally enter into a binding agreement under the laws that apply to you.

If you are under the age at which you may independently agree to these Terms in your jurisdiction, you may use the Services only with the permission and supervision of a parent or legal guardian. A parent or legal guardian who permits a minor to use the Services is responsible for the minor’s use of the Services.

The Services are intended for a broad audience and are not directed specifically to children under 13.

3. License to Use the Application

Subject to your compliance with these Terms, AvachaTech grants you a limited, personal, revocable, nonexclusive, nontransferable, and nonsublicensable license to download, install, and use the Hemispheres application on devices that you own or control, solely for your personal, noncommercial use and as permitted by the applicable app marketplace’s usage rules.

The application is licensed, not sold. AvachaTech and its licensors retain all rights in the application and Services that are not expressly granted under these Terms.

You may not:

• copy, reproduce, distribute, publicly display, sell, rent, lease, sublicense, or commercially exploit the Services or any portion of them;
• reverse engineer, decompile, disassemble, or attempt to derive the source code of the application, except to the limited extent such a restriction is prohibited by applicable law;
• remove or alter copyright, trademark, attribution, or proprietary notices;
• circumvent or interfere with security, access controls, scoring systems, validation systems, or technical restrictions;
• use automated tools to extract, scrape, copy, or systematically collect stories, questions, illustrations, equations, explanations, or other content;
• modify, translate, or create derivative works from the Services except as expressly permitted by law;
• use the Services in a way that infringes another person’s rights or violates applicable law;
• use Hemispheres content, data, or outputs to train, develop, evaluate, or improve an artificial-intelligence or machine-learning system without AvachaTech’s prior written permission.

4. Mathematical and Educational Content

We work to make the mathematical content in Hemispheres accurate, clear, and fair. Nevertheless, software, content, explanations, evaluators, and scoring systems may occasionally contain errors or may not recognize every mathematically valid approach.

Hemispheres may evaluate a submission based on both its calculated result and its recognized mathematical structure. A mathematically valid expression may receive less than full credit when the application cannot reliably recognize the reasoning used. Similarly, the application may identify an answer as incorrect or incomplete because of syntax, notation, rounding, tolerance, or evaluator limitations.

Scores, classifications, streaks, progress indicators, hints, and explanations are features of the game. They should not be treated as an official measurement of academic ability, course mastery, educational placement, or professional competence.

You remain responsible for independently verifying any calculation or mathematical conclusion used outside the game.

5. Local Data and Progress

Certain settings, gameplay progress, scores, completed problems, hint usage, and unfinished sessions may be stored locally on your device.

Local information may be lost if you delete the application, erase or replace your device, clear application data, restore from an incomplete backup, or experience a hardware or software failure. Unless Hemispheres expressly introduces a backup or synchronization feature, AvachaTech is not responsible for restoring locally stored progress or settings.

Our collection and handling of personal information, if any, is described in the Hemispheres Privacy Policy.

6. Purchases and App Marketplace Terms

The application may be offered for free, for a one-time purchase price, or with other purchase options identified at the point of sale.

Purchases made through an app marketplace are processed by that marketplace and are also subject to its payment, refund, family-sharing, and account terms. AvachaTech does not receive or control your complete payment-card information when a marketplace processes the transaction.

Except where required by law or expressly stated otherwise, fees are nonrefundable. Requests for refunds relating to an App Store transaction may need to be submitted directly to Apple under Apple’s applicable policies.

Any future paid feature, content pack, or in-app purchase will be described before you complete the transaction. Nothing in these Terms creates a subscription unless a subscription is expressly offered and accepted by you.

7. Intellectual Property

The Services—including the Hemispheres name and branding, software, interface, design, stories, questions, characters, illustrations, visualizations, text, equations, problem structures, explanations, audio, and other content—are owned by or licensed to AvachaTech and are protected by copyright, trademark, trade-secret, and other intellectual-property laws.

You may use the content only as part of your permitted personal use of the Services. No ownership interest is transferred to you.

“Hemispheres,” related logos, and other AvachaTech names and marks may not be used without AvachaTech’s prior written permission. Other names and marks appearing in the Services belong to their respective owners.

8. Feedback

You may voluntarily provide suggestions, ideas, corrections, error reports, or other feedback about the Services.

You grant AvachaTech a perpetual, irrevocable, worldwide, royalty-free, transferable, and sublicensable right to use, reproduce, modify, publish, distribute, and otherwise exploit that feedback for any lawful purpose without compensation or attribution to you.

This provision applies to feedback about the Services and does not give AvachaTech ownership of personal information governed by the Privacy Policy.

9. Updates, Changes, and Availability

We may update, improve, modify, suspend, or discontinue some or all of the Services. Updates may change functionality, compatibility, content, scoring, calculator syntax, visual presentation, or device requirements.

We do not guarantee that:

• every feature will always be available;
• the Services will operate without interruption or error;
• every problem or evaluator result will be free from mistakes;
• the application will remain compatible with every device or operating-system version; or
• previously available problems, features, scores, or progress information will remain available indefinitely.

You are responsible for maintaining a compatible device, operating system, and app-marketplace account.

10. Third-Party Services

The Services may contain links to or interact with services operated by third parties, including an app marketplace, operating-system provider, or support platform.

Third-party services are governed by their own terms and privacy policies. AvachaTech does not control and is not responsible for third-party services, content, security, availability, or practices.

You must comply with applicable third-party terms when using the Services.

11. Disclaimer of Warranties

Some jurisdictions do not allow certain warranty exclusions. In those jurisdictions, the exclusions above apply only to the extent permitted by law.

12. Limitation of Liability

The limitations in this section apply regardless of the legal theory asserted and even if a remedy fails of its essential purpose.

Nothing in these Terms excludes or limits liability that cannot legally be excluded or limited.

13. Indemnification

To the extent permitted by law, you agree to defend, indemnify, and hold harmless AvachaTech and its members, managers, employees, contractors, licensors, and service providers from claims, liabilities, damages, losses, and expenses, including reasonable attorneys’ fees, arising from:

• your material violation of these Terms;
• your unlawful or unauthorized use of the Services; or
• your infringement of another person’s rights.

This obligation does not apply to the extent a claim results from AvachaTech’s own unlawful conduct, negligence, or breach of these Terms.

14. Suspension and Termination

You may stop using the Services at any time and may delete the application from your device.

AvachaTech may suspend or terminate your authorization to use the Services if you materially violate these Terms, misuse the Services, infringe intellectual-property rights, interfere with the operation or security of the Services, or create legal or technical risk for AvachaTech or others.

Upon termination, the license granted to you under these Terms ends. Provisions that by their nature should survive termination—including provisions concerning ownership, disclaimers, liability, indemnification, and dispute resolution—will survive.

15. Governing Law and Venue

These Terms are governed by the laws of the State of Washington, without regard to its conflict-of-law principles.

Unless applicable law requires otherwise, any legal action arising out of or relating to these Terms or the Services must be brought in the state or federal courts located in King County, Washington. You and AvachaTech consent to the personal jurisdiction and venue of those courts.

Nothing in this section deprives you of mandatory consumer protections or legal rights that apply in your place of residence.

16. International Use and Export Compliance

You may not use or export the Services in violation of United States export-control or sanctions laws.

You represent that you are not located in a country or region subject to a comprehensive United States government embargo and are not identified on a United States government list of prohibited or restricted parties.

The Services are controlled and operated from the United States. We do not represent that they are appropriate or legally available in every country.

17. Apple App Store Provisions

This section applies when you download or use Hemispheres through Apple’s App Store.

You acknowledge and agree that:

1. These Terms are between you and AvachaTech, not Apple. AvachaTech, not Apple, is solely responsible for Hemispheres and its content.
2. Your license is limited to a nontransferable license to use Hemispheres on Apple-branded products that you own or control, as permitted by the usage rules in the Apple Media Services Terms and Conditions, including applicable Family Sharing or volume-purchasing rights.
3. AvachaTech is solely responsible for maintenance and support for Hemispheres. Apple has no obligation to provide maintenance or support.
4. If Hemispheres fails to conform to an applicable warranty, you may notify Apple, and Apple may refund the purchase price, if any, as provided by Apple’s policies. To the maximum extent permitted by law, Apple has no other warranty obligation relating to Hemispheres.
5. AvachaTech, not Apple, is responsible for addressing claims relating to Hemispheres or your possession or use of it, including product-liability claims, regulatory claims, consumer-protection claims, and claims that Hemispheres infringes a third party’s intellectual-property rights.
6. You must comply with applicable third-party terms when using Hemispheres.
7. Apple and its subsidiaries are third-party beneficiaries of these Terms. Upon your acceptance of these Terms, Apple will have the right to enforce the applicable provisions against you as a third-party beneficiary.

18. Changes to These Terms

We may revise these Terms periodically to reflect changes in the Services, our practices, applicable law, or marketplace requirements.

The revised Terms will be posted with a new effective date. Where required by law, we will provide additional notice or request consent. Your continued use of the Services after revised Terms become effective constitutes acceptance of the revised Terms to the extent permitted by law.

Material changes will not apply retroactively unless permitted by law.

19. General Provisions

These Terms and any policies expressly incorporated into them constitute the entire agreement between you and AvachaTech concerning the Services.

If a provision is held invalid or unenforceable, it will be enforced to the maximum extent permitted, and the remaining provisions will remain in effect.

AvachaTech’s failure to enforce a provision is not a waiver of its right to do so later.

You may not assign your rights or obligations under these Terms without AvachaTech’s prior written consent. AvachaTech may assign these Terms as part of a merger, reorganization, financing, sale of assets, or transfer of the Services.

Headings are provided for convenience and do not affect interpretation.

20. Contact Us

Questions, complaints, support requests, and legal notices concerning Hemispheres may be directed to: