THE WOODLAND OBSERVATORY
I · THE FIRST RECKONING

The Twelve Lights

Use every stone once. Weave an expression that makes twelve.

A key to the numerals

Tengwar numeral glyphs from the Free Tengwar Font Project. Hover or focus a game number to see its ordinary value.

This collection uses decimal place values for familiar arithmetic. Multi-digit Tengwar values place the units first, reading left to right. Ten and eleven have separate glyphs in the key for learning; in these games, 10–12 are written as decimal multi-digit values. Number-identification marks are omitted for a clean game display. The toggle changes notation, not the puzzle rules.

At the observatory

This is an original puzzle collection inspired by Tolkien’s Elves, their love of craftsmanship and stars, and their preference for reckoning in sixes and twelves. These games are imagined, not games described by Tolkien.

Begin with The Twelve Lights. Starweaver offers five-stone and six-stone arithmetic. Moonwheel explores arithmetic modulo twelve. Twelvefold Sudoku uses numbers 1–12, once in every row, column, and 3-row × 4-column region.

Tolkien’s numeral systems evolved across his manuscripts. The display here uses a conventional Tengwar decimal presentation rather than claiming one definitive Elvish mathematical system.

Scripture quotations marked CSB have been taken from the Christian Standard Bible®, Copyright © 2017 by Holman Bible Publishers. Used by permission. Christian Standard Bible® and CSB® are federally registered trademarks of Holman Bible Publishers.

Numeral font: FreeMonoTengwar by j. ‘mach’ wust, Johan Winge, and GNU FreeFont contributors. Font license · Font project