The Gaon of Vilna, also called the Gra (an acronym of Gaon Rabbi Eliyahu), was an 18th Century kabbalist and Talmudic scholar. His layout of the Tree sets out the thirty-two paths as shown here. In this picture, you can see —

• The three mother letters acting as horizontal connectors between the positive and negative Sephiroth of the three Triads, connecting the active and passive Pillars
• The seven double letters acting as vertical connectors between all ten Sephiroth, forming the Pillars
• The twelve simple letters connecting the slantwise paths, communicating between adjacent Pillars

The assignations shown for each letter in this diagram are not the same as the ones shown elsewhere on this site. This is a different interpretation than the one commonly used today. There is, moreover another layout yet: the older Ari tree. Gra and Ari agree in some things, disagree in most regarding the placement of letters on the Paths. The Ari layout is the one most commonly expounded in writings about Sepher Yetzirah and the Bahir.

The links on the letters in this image will take you to pages that often disagree with this image about which Sephiroth the letter connects.

[A] Alef, א, The Fool

[B] Beth, ב, The Magus

[G] Gimel, ג, The Priestess

[D] Daleth, ד, The Empress

[H] Heh, ה, The Star

[V] Vau, ו, The Hierophant

[Z] Zain, ז, The Lovers

[X] Cheth, ח, The Chariot

[T] Tet, ט, Lust

[Y] Yod, י, The Hermit

[K] Kaph, כ, Fortune

[L] Lamed, ל, Adjustment

[M] Mem, מ, The Hanged Man

[N] Nun, נ, Death

[S] Samekh, ס, Art

[O] Ayin, ע, The Devil

[P] Peh, פ, The Tower

[C] Tzaddi, צ, The Emperor

[Q] Qoph, ק, The Moon

[R] Resh, ר, The Sun

[Sh] Shin, ש, The Aeon

[Th] Tau, ת, The Universe

[KTR] Kether, Crown

[XKMH] Chokmah, Wisdom

[BYNH] Binah, Understanding

[XSD] Chesed, Mercy

[GBVRH] Geburah, Strength

[TPART] Tiphareth, Beauty

[NCX] Netzach, Victory

[HVD] Hod, Splendor

[YSVD] Yesod, Foundation

[MLKVT] Malkuth, Kingdom