Euglenids exhibit an unconventional motility strategy amongst unicellular eukaryotes, consisting of large-amplitude highly concerted deformations of the entire body (euglenoid movement or metaboly). A plastic cell envelope called pellicle mediates these deformations. Unlike ciliary or flagellar motility, the biophysics of this mode is not well understood, including its efficiency and molecular machinery. We quantitatively examine video recordings of four euglenids executing such motions with statistical learning methods. This analysis reveals strokes of high uniformity in shape and pace. We then interpret the observations in the light of a theory for the pellicle kinematics, providing a precise understanding of the link between local actuation by pellicle shear and shape control. We systematically understand common observations, such as the helical conformations of the pellicle, and identify previously unnoticed features of metaboly. While two of our euglenids execute their stroke at constant body volume, the other two exhibit deviations of about 20% from their average volume, challenging current models of low Reynolds number locomotion. We find that the active pellicle shear deformations causing shape changes can reach 340%, and estimate the velocity of the molecular motors. Moreover, we find that metaboly accomplishes locomotion at hydrodynamic efficiencies comparable to those of ciliates and flagellates. Our results suggest new quantitative experiments, provide insight into the evolutionary history of euglenids, and suggest that the pellicle may serve as a model for engineered active surfaces with applications in microfluidics.microswimmers | self-propulsion | stroke kinematics | active soft matter U nicellular microorganisms have developed effective ways of locomotion in a fluid, overcoming fundamental physical constraints such as the time reversibility of low Reynolds number (Re) hydrodynamics (1). Amongst eukaryotes, most species swim beating cilia or flagella. Yet, through a long evolutionary history, some protists have developed unconventional functional strategies, accomplished by highly diverse subcellular structures (2). A notable example is the euglenoid movement, or metaboly, executed by some species of euglenids (3). This peculiar motility mode is characterized by elegantly concerted, large-amplitude distortions of the entire cell with frequencies of about f ≈ 0.1 Hz (4). Euglenids have attracted the attention of scientists since the earliest days of microscopy, when van Leeuwenhoek referred to them in 1674 as microscopic motile "animalcules" that were green in the middle, which challenged the classification of organisms into animals and plants (5). More recently, metaboly has inspired models for artificial microswimmers (6), although even its locomotory function remains unclear. In contrast with flagellar or ciliary motion, the euglenoid movement has not undergone close biophysical scrutiny, and fundamental questions remain open, including a precise understanding of the actuation mechanism leading...