Gems of Ra
Explore mathematical topology through interactive loop tracing and solve complex knot invariants with precision-engineered drill systems
Download Gems of Ra
Explore mathematical topology through interactive loop tracing and solve complex knot invariants with precision-engineered drill systems
Download Gems of RaAll training packages require completion of initial keyring pair tutorial. Drill accuracy metrics tracked for educational progress assessment only.
Draw closed curves with sub-pixel accuracy detection. The engine validates loop closure within snapshot thresholds and automatically registers crossing topology.
Assign RGB values to arc segments ensuring each crossing displays one instance of all three hues. Real-time feedback on colouring constraints and solution validity.
Import photographs of physical chains, keyrings, or cords. Overlay your diagram sheet atop the image and trace genuine linked structures with precision calibration.
Automated computation of writhe, linking numbers, determinant values, and polynomial colourings. View complete mathematical properties for every diagram you construct.
Structured problem sets escalating from L2a1 Hopf links through L10n100 complexity. Accuracy percentages tracked across 14-day practice calendars with streak persistence.
Archive unlimited tangles with metadata tags including crossings count, alternating status, and Brunnian classification. Instant retrieval for comparative analysis sessions.
Gems of Ra implements a dual-mode interface distinguishing decorative Egyptian theming from the core mathematical workspace. The splash screens render high-contrast metallic deities in purple-gold palettes while the functional diagrams employ warm beige canvases optimized for extended analytical sessions.
Each intersection point registers over/under strand orientation through touch gesture analysis. The system encodes crossing signs into matrices used for determinant calculation and polynomial evaluation. Users manipulate strand elevation via tap-hold-drag sequences with haptic confirmation.
The notebook module serializes loop coordinates, colour assignments, and calculated invariants to local storage indexed by timestamp and diagram hash. Export functions generate SVG vector paths preserving sub-pixel accuracy for academic documentation requirements.
Available for iOS and Android · Free Download · 87 MB Install
Download Gems of RaRequires iOS 13.0+ or Android 8.0+ · Optional camera permissions for photo underlay · Rated for ages 12+ due to mathematical complexity · Contains educational drill purchase options