Kaitlyn's solo debut Euclid (primarily written on a Buchla Music Easel synthesizer) was inspired by her love of mbira music, early electronic music pioneers like Suzanne Ciani, Laurie Spiegel, Oskar Sala, and Terry Riley, and euclidean geometry. Each of the first six songs on Euclid were initially structured using euclidean geometry, an idea which Smith explored while attending a class at the San Francisco Conservatory. As Smith explains, "We each chose a 3D shape and assigned our own guidelines to the different components that make up the shape. For example each point of the shape represents a different time signature, each line between the points represents a pitch, each shape within the closed lines represents a scale, etc. And then you play the shape." Despite their heady geometric origins, the songs have a playfulness and warmth that makes them inviting and memorable. In addition to the buoyant grooves of Smith's synthesizers, some of the songs feature wordless vocals, which energize the otherworldly songs, while grounding them with Smith's earthly presence.
She slows things down for the second half of the record, which features a collection of twelve short pieces, Labyrinths I-XII. Originally composed as new soundtracks to old silent films she found online, Smith says the tranquil Labyrinth pieces are "intended to feel like one is walking through a holographic labyrinth and encountering different experiences such as hang gliding, viewing microbes under a microscope, ice fishing in Alaska, and watching glaciers collapse." Despite their brevity, most of these songs feel like mini odysseys, effortlessly casting a cinematic hue on the the listener's world.
Throughout Euclid Kaitlyn Aurelia Smith consistently delivers sonic puzzles draped in a warm Pacific mist. At times these songs feel so alive — like the musical analog to roots growing deeper and stronger, leaves on branches bending towards the light, or the sun peeking over the horizon, briefly igniting the air with a primordial swirl of warm and cool colors.