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GeometryForge

Interactive geometry exploration app for ages 9-14 covering the complete CCSS Geometry curriculum — transformations, coordinate geometry, similarity, proof, and 3D solids — using hands-on RealityKit 3D visualization, visual theorem discovery, and progressive spatial reasoning challenges. Companion app to CubeSensei (which focuses on Rubik's Cube mastery and magic tricks).

👥 Pass-and-play available
GeometryForge app icon

Meet your mentor

Every Spark & Anvil app has a friendly mentor character that demonstrates, praises, and patiently scaffolds learning. On-device AI personalizes the mentor's responses to your kid's progress — never connecting to a server, never collecting data.

Mentored by Hero

GeometryForge mascot demonstrating
demonstrating
GeometryForge mascot praising
praising
GeometryForge mascot thinking
thinking
GeometryForge mascot working
working
GeometryForge mascot encouraging
encouraging
Wave 1 implementing 8 themed avatar accessories Swift 6 · SwiftUI · FoundationModels NGSS CCSS Math ISTE Hero color: #29B6F6

GeometryForge is a complete CCSS Geometry adventure for students ages 9–14. Master transformations, congruence, similarity, coordinate geometry, and spatial reasoning through interactive problems, animated demonstrations, and 13 adventure-game modes — plus a Rubik's Cube challenge for spatial thinking.

Distributed-narrative cast

Meet the cast

Geometry decomposes neatly into named theorems (right-triangle relations, inscribed-angle, transversals) and named construction patterns — every character embodies one foundational geometric idea, no real historical figures.

Master Hypotenuse portrait

Master Hypotenuse

Right-triangle relations: a² + b² = c²

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Lady Inscribed-Angle portrait

Lady Inscribed-Angle

Circle theorems (inscribed-angle, central-angle, tangent-chord, cyclic quadrilateral)

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Sir Transverse portrait

Sir Transverse

Parallel-line transversals + intercept theorem (proportional segments cut by parallel lines)

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Apprentice Sides portrait

Apprentice Sides

Area formulas (triangle area from side lengths; rectangle / parallelogram / trapezoid area)

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Captain Construction portrait

Captain Construction

Compass-and-straightedge constructions (bisector, perpendicular, equilateral triangle, regular hexagon, circle-given-three-points)

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Compass Wraith portrait

Compass Wraith

Locus problems + circle-as-set-of-equidistant-points

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Madame Polygon portrait

Madame Polygon

Regular-polygon facts (interior-angle sum, exterior-angle sum, regular-tessellation, symmetry of regular n-gons)

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Master Tangent portrait

Master Tangent

Limit-and-touch problems (tangent to a circle from external point, tangent-chord angle, tangent-as-limit-of-secant)

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Axia & Theora portrait

Axia & Theora

Twin theorists — Axia carries axiomatic-first reasoning; Theora carries theorem-application; together they bridge geometric postulates to derived results

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Madame Motion portrait

Madame Motion

Rigid motions and congruence — sliding, turning, or flipping a shape never changes its size or shape; two shapes are congruent if one can be carried exactly onto the other.

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Scout Scale portrait

Scout Scale

Dilation and similarity — resizing a shape by a scale factor keeps every angle the same and multiplies every length equally; similar shapes are the same shape at a different size.

Read chapter →

Lady Lattice portrait

Lady Lattice

The coordinate plane — every point has an exact two-number address, so you can plot it, measure the distance between two points, and find the midpoint exactly between them.

Read chapter →

Browse all 12 chapters → · What's distributed-narrative methodology? →

What's inside

Tabs

The app has four tabs:

Explore tab (home)

The home screen has six zones, top to bottom:

Practicing a topic

Most topics work the same way:

The 23 topics

Grouped by strand:

Mentored by Hero — on-device AI, no data leaves the device.

How GeometryForge handles your kid's data

  • ✅ All progress, settings, and AI-generated content stays on the device
  • ✅ No analytics, no tracking, no third-party SDKs
  • ✅ No ads, no in-app purchases — you pay once
  • ✅ COPPA compliant under the 2026 FTC amendments
  • ✅ Parental controls + session limits + content filters built in

Full parent privacy guide →

Built with ForgeKit

GeometryForge runs on ForgeKit — the open-source Swift Package Manager framework that powers every Spark & Anvil app. ForgeKit ensures consistent accessibility, COPPA compliance, and design language across the portfolio, so your kid's progress and preferences feel coherent across every app they touch.

Coming to the App Store

GeometryForge is in active development. Email us to hear when it ships — no marketing, no spam, just a one-shot launch announcement.

Email me at launch