2
wavelengths using photoswitchable photoinitiators12. It is a fast technique that can print building blocks of only
tens of microns but which requires special photoinitiators and is strictly limited to optically clear and low-
absorptive resins. In the second approach, coined computed axial lithography (CAL) or tomographic volumetric
additive manufacturing, an entire three-dimensional object is simultaneously solidified by irradiating a liquid
photo-sensitive resin volume from multiple angles with dynamic 2D light patterns13–15. These 2D light patterns
are calculated from the target 3D object using 3D-to-2D transforms, like the Radon transform, similarly to X-
ray Computer Tomography Scans16. In a tomographic printer, a Digital Micromirror Device (DMD), which
offers millions of degrees of freedom to spatially modulate the light intensity of the input beam, is used to
produce the 2D patterns. By projecting patterned light into the liquid resin from multiple angles, a 3D energy
dose is accumulated. In the regions where such energy dose exceeds a polymerization threshold, solidification
occurs. The object is finally printed when all target voxels inside the liquid precursor receive an irradiation dose
above this said threshold17. Thanks to high-power laser diodes, the tomographic photopolymerization of cm-
scale objects can be performed as fast as within 30 to 120 seconds with resolutions of around 100 μm14. After
printing, the surrounding liquid unpolymerized resin can be washed away to reveal the desired solid printed part.
Using this process, it was first possible to obtain cm-scale objects with a resolution of 300 μm (ref. 13). When
the polymerization starts, the refractive index of the resin changes, locally perturbing the propagation of light.
This intricate phenomenon was not taken into account initially for computing the 2D light patterns, limiting print
fidelity. It has been shown that re-calculation of the patterns based on measured feedback from a first sacrificial
print combined with an optimized low-étendue illumination can bring the final print resolution to 80 μm (for
positive features) and 500 μm (for negative features)15. However, print resolution and fidelity are still limited,
mainly by three primary sources of error: (1) the projected light patterns; (2) the chemical and optical properties
of the resin (e.g., polymerization diffusion, absorbance or scattering, and change in refractive index upon
polymerization), and (3) the optical projection setup. The goodness of the algorithm is essential to produce
patterns whose back projections form a volumetric dose of light that best represents the target object inside the
resin. Several recent works have been proposed to optimize the set of patterns with respect to (i) the target dose
by including physics priors18,19 or (ii) more appropriate loss functions that enhance contrast20. Regarding the
resin's opacity, it is clear that optically transparent materials allow for propagating sharp patterns of high fidelity,
but the same patterns would be inevitably blurred and thus lose their finest features in scattering media. The
detrimental effect of scattering can be reduced through refinements to the calculated tomographic patterns18 or
through refractive-index matching of the resin21. The chemical diffusion of free radicals may also cause
unwanted polymerization that enlarges the print resolution by a few microns22,23, but this effect can be mitigated
by doping the resin with free-radical quenchers24,25. Ultimately, the optical resolution of the printer dictates the
achievable printed voxel size. In DLP and tomographic VAM, optical resolution is determined at best by the
features of the modulator used to pattern light, namely the DMD. Here we use a DLP7000 chip from Texas
Instrument that has on its surface Nx × Ny = 768 × 1024 micro-mirrors (pitch = 13.6 μm) arranged in a rectangular
array capable of displaying 8-bit images.
In our optical system, the DMD image is magnified by a factor of 1.66; the resulting pattern onto the vial is 1.74
cm × 2.33 cm with a resolution of 23 μm (see a detailed sketch of the experimental setup in Supplementary S.1).
The only way to increase the size of the printed objects without compromising the resolution is to move the
DMD with respect to the vial or vice versa. Inspired by spiral CT (ref. 26), we propose to move the sample around
the light beam with a helical trajectory. Additionally, we show that lateral printable size can be doubled without
compromising resolution by off-centering the optical axis with respect to the rotation axis of the photoresist vat
(Fig. 1.a). Together, these two tricks increase the number of building blocks inside the vial by a factor of up to
12. Here these available printed voxels are used to print larger objects up to 3 cm × 3 cm × 5 cm in a few minutes
without compromising the printing resolution (< 200 μm).