A living collection by Inder J. Taneja

Mathematics,
made explorable.

Interactive generators for number patterns, magic squares, mirror identities, selfie fractions and recreational mathematics—collected in one place.

01 · AVAILABLE NOW

Mathematical generators

Every generator is presented equally in one consistent collection. Select any card to begin exploring.

NUMBER PATTERNS

Square-Sum Cycle and Open-Path Generator

Search an integer interval for a closed square-sum cycle, a complete open path or the longest verified chain.

  • Cycle and path search
  • Verified diagrams
  • Downloads
Open generator
181782
SELFIE FRACTIONS

Patterned Digit-Split Selfie-Fractions

Discover digit-split fraction identities, insertion families and independently verified examples.

  • Search selfies
  • Insertion families
  • TXT and Excel
Open explorer
1431386
MULTIPLICATIVE EDITION

Multiplicative Patterned Selfie-Fractions

Investigate multiplication-containing digit splits, pattern families and zero-extension constructions.

  • Multiplicative search
  • ×10 families
  • Downloads
Open explorer
1221
MIRROR NUMBERS

Square-Mirror Sum Generator for k Terms

Search k-term combinations whose terms and reversals produce verified square-mirror identities.

  • Choose k terms
  • Mirror identities
  • TXT and Excel
Open generator
abccabbca
LINEAR ALGEBRA

Circulant-determinant Orders 3 and 4

Explore 3×3 and 4×4 circulant determinants and discover arithmetic, selfie-style and scaling identities.

  • Order 3 and 4 searches
  • AP and unique results
  • TXT and Excel downloads
Open explorer
515Σ
MAGIC POLYGONS

Magic Polygon Generator — Solutions and Designs

Construct extra-point inclusion magic polygons using distinct consecutive numbers and one common sum on every side.

  • Choose n sides and k extra points
  • Admissible magic sums
  • Extended and inline designs
Open generator
02 · INTERACTIVE COLLECTION

Spinning magic cubes

Open any collection to watch the magic cubes rotate and explore the controls provided in each design.

03 · SEVEN-SEGMENT COLLECTION

Spinning digital magic cubes

Explore upside-down, mirror-looking and rotation-safe digital magic-square designs presented on six rotating faces.

04 · COLLECTION

Growing categories

These sections are prepared for the HTML generators you choose to add next.

01
M

Magic Squares & Cubes

Interactive constructions, digital designs and verification tools.

13 COLLECTIONS ADDED
02
M

Mirror Numbers

Explore equal sums, reversed terms and same-digit identities.

1 GENERATOR ADDED
03
S

Selfie Fractions

Search patterned, digit-split and multiplicative selfie fractions.

2 EXPLORERS ADDED
04
P

Prime Patterns

Investigate primes, blocks, borders and concentric structures.

READY TO ADD
HOW THIS COLLECTION GROWS

One permanent home.
Many independent generators.

1 Send an existing HTML generator or its link.

2 It receives a category, description and launch card.

3 This central page is updated while its address stays the same.