{"id":467129,"date":"2026-02-13T23:25:19","date_gmt":"2026-02-13T23:25:19","guid":{"rendered":"https:\/\/www.newsbeep.com\/us\/467129\/"},"modified":"2026-02-13T23:25:19","modified_gmt":"2026-02-13T23:25:19","slug":"sub-second-volumetric-3d-printing-by-synthesis-of-holographic-light-fields","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/us\/467129\/","title":{"rendered":"Sub-second volumetric 3D printing by synthesis of holographic light fields"},"content":{"rendered":"<p>Experimental set-up<\/p>\n<p>Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig7\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a> shows the experimental set-up of DISH. A coherent 405-nm light beam emitted from the continuous-wave diode laser CNI MDL-HD-405 with a linewidth of 1.5\u2009nm is modulated by a DMD equipped with a total internal reflection prism. The DMD (TI DLP9500) driven by ViALUX V-9501 features a pixel size of 10.8\u2009\u03bcm, an array size of 1,920\u2009\u00d7\u20091,080 and a refresh rate of 17.9\u2009kHz. The patterned beam passes through a 4f system, consisting of a tube lens (Thorlabs TTL200-A), an aperture and an objective lens with a working distance of 34\u2009mm (Mitutoyo M Plan Apo 2\u00d7, NA 0.055). The aperture allows only the central diffraction order to pass. The beam is then directed into a periscope fixed on a hollow rotating platform, driven by an alternating current servo motor (Panasonic MSMJ042G1U). Finally, the beam is obliquely projected into a quartz cuvette, with an entry maximum power density of 150\u2009mW\u2009cm\u22122 and a total maximum power of 40\u2009mW, limited by the laser. The periscope consists of two small mirrors (Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig7\" rel=\"nofollow noopener\" target=\"_blank\">2c,d<\/a>). The first mirror is inclined at a 45\u00b0 angle relative to the z-axis and the second mirror is inclined at 22.5\u00b0. After reflection within the periscope, the beam is projected into the container at a 45\u00b0 angle. When the incident angle is 45\u00b0, this configuration yields a reasonable axial feature size for most materials with different refractive indices, while keeping the interface reflectivity low. This mechanical design accommodates a light beam of 6\u2009mm in diameter. As shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig7\" rel=\"nofollow noopener\" target=\"_blank\">2e<\/a>, the printing area exhibits a centrally symmetric spindle-like shape, which can be approximated by a cylinder and two cones. The total volume of this approximated shape is \\(\\frac{1}{4}{\\rm{\\pi }}{d}^{3}\\frac{1}{\\tan {\\theta }_{{\\rm{r}}}}\\left(\\frac{1}{\\cos {\\theta }_{{\\rm{i}}}}-\\frac{2}{3}\\right)\\), in which \u03b8i represents the incident angle, \u03b8r represents the refracted angle and d represents the beam diameter. When d\u2009=\u20095.832\u2009mm (5.4\u2009\u03bcm\u2009\u00d7\u20091,080) and the refractive index of the material is 1.48, the total volume is 214.1\u2009mm3.<\/p>\n<p>The time sequence diagram of the synchronization of rotation and the projection pattern is detailed in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig8\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a>. A National Instruments PCIe-6363 multifunction I\/O device is used to generate voltage pulses and control various components, including the laser shutter, camera shutter, projection angle and DMD projections. The servo motor is operated at 1,000\u2009rpm, resulting in a period of 0.6\u2009s for the hollow rotating platform with a 1:10 reduction ratio. DMD projections are synchronized with the actual angle. During the printing process, the laser shutter is closed until the motor speed stabilizes. The shutter controls the exposure time to be 0.6\u2009s. Typically, the servo motor is triggered with a 60-kHz square wave, whereas the DMD is triggered with a 3-kHz square wave, showing 1,800\u2009projections per cycle. The running speed could also be adjusted as needed. Because the laser power used in our prototype system is relatively low, all trigger parameters described here are specifically configured for the 0.6-s exposure time rather than for maximum operating speed.<\/p>\n<p>Modelling of the system<\/p>\n<p>The relationship between the beam propagation coordinates (xr,\u2009yr,\u2009zr) and the world coordinates (x,\u2009y,\u2009z) is established to ensure compatibility with any 3D projection direction. The coordinates (x,\u2009y,\u2009z) are defined according to the container. The z-axis represents the rotation axis, the x-axis represents the horizontal direction and the y-axis represents the vertical direction. The coordinates (xr,\u2009yr,\u2009zr) are defined according to the beam inside the container, with the zr-axis indicating the propagation direction. Both coordinate systems share the same origin, which is the printing centre. In our experimental set-up, the coordinate transformation can be represented by the Euler angle representation:<\/p>\n<p>$${(x,y,z)}^{{\\rm{T}}}={R}_{Z}(\\varphi ){R}_{X}({\\theta }_{{\\rm{r}}}){R}_{Z}(-\\varphi ){\\rm{\\cdot }}{({x}_{{\\rm{r}}},{y}_{{\\rm{r}}},{z}_{{\\rm{r}}})}^{{\\rm{T}}}$$<\/p>\n<p>in which \u03c6 represents the platform angle and \u03b8r represents the refraction angle in the material. RX and RZ represent the rotation around the x-axis and z-axis, respectively.<\/p>\n<p>In wave optics, the propagation is modelled as:<\/p>\n<p>$$\\left\\{\\begin{array}{c}{{\\mathcal{H}}}_{\\varphi }({z}_{{\\rm{r}}})={{\\mathcal{F}}}^{-1}H({z}_{{\\rm{r}}}+{l}_{{\\rm{r}}},{\\lambda }_{{\\rm{r}}})\\cdot {S}_{\\varphi }\\cdot H({l}_{{\\rm{i}}},{\\lambda }_{{\\rm{i}}}){\\mathcal{F}}\\\\ H(z,\\lambda )=\\exp \\left\\{{\\rm{j}}\\frac{2{\\rm{\\pi }}}{\\lambda }z\\sqrt{1-{(\\lambda {f}_{x})}^{2}-{(\\lambda {f}_{y})}^{2}}\\right\\}\\end{array}.\\right.$$<\/p>\n<p>Here \\({\\mathcal{F}}\\) denotes the Fourier transformation that converts complex amplitudes into angular spectra. H(li,\u2009\u03bbi) and H(zr\u2009+\u2009lr,\u2009\u03bbr) are the propagation matrices in air and in the material, respectively. S\u03c6 represents refraction, which is achieved through a distorted stretching in the angular spectrum. As the plane wave remains a plane wave after refraction at a flat interface, the corresponding relationship of angular spectrum coordinates before and after refraction can be calculated using the 3D form of Snell\u2019s law. This distorted stretching on the angular spectrum is implemented by the imwarp function in MATLAB.<\/p>\n<p>Adaptive-optics-based calibration<\/p>\n<p>To simplify the calibration process, the optical system preceding the periscope was adjusted to ensure that the beam emitted from the DMD centre precisely coincides with the rotation axis of the platform. Therefore, the rotating light path was adjusted to be centrosymmetric and the angle of incidence \u03b8i remained unchanged. Owing to the symmetry of the system, the beam emitted from the DMD centre should generate intensity with the shape of a one-sheet hyperboloid within the container. Its symmetric centre was considered as the printing centre and the origin of the world coordinates. The distance from the printing centre to the front surface of the container was denoted as z0. During calibration, the optical devices were fixed and only the projections were updated as the platform rotated.<\/p>\n<p>First, a coarse linear relationship between the DMD pixel coordinates, platform angle and 3D coordinates inside the container was established. DMD pixels were activated individually while the platform was slowly rotating and the corresponding excited fluorescence in the container 18\u2009\u03bcg\u2009ml\u22121 coumarin-30 DMSO resolution was captured in real time by the front and side cameras equipped with emission filters. As illustrated in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig13\" rel=\"nofollow noopener\" target=\"_blank\">8b<\/a>, the projection angle \u03c6 of the beam was determined using the front camera, whereas the angle of refraction \u03b8r was measured with the side camera. The remaining two degrees of freedom of the ray were calculated by the position of its intersection point with the z\u2009=\u20090 plane. The DMD pixel was then shifted according to the fluorescent photographs taken from the cameras. Finally, a set of DMD offset pixels that emitted beams to exactly intersect the printing centre was obtained, denoted by \\(({x}_{{\\rm{i}}}^{0\\varphi },{y}_{{\\rm{i}}}^{0\\varphi })\\). Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig13\" rel=\"nofollow noopener\" target=\"_blank\">8c,d<\/a> show an example of the positions of the beam before and after calibration.<\/p>\n<p>Subsequently, the propagation distance from the conjugate plane to the interface of the container was measured. When the platform angle \u03c6\u2009=\u20090, line segments at the y\u2013z plane (Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3c<\/a>) were projected and the symmetrical centre of the resulting 3D intensity was considered as the approximate conjugate plane. Several images were captured at different focal planes with an electrotunable lens and the symmetric centre of their composite photograph identified the approximate conjugate plane of the DMD. The propagation distance from the printing centre to the approximate conjugate plane was denoted as \\({z}_{{\\rm{r}}}^{{\\rm{c}}}\\).<\/p>\n<p>Finally, the precise calibration was operated with holographically synthesized patterns. The focusing performance throughout the container was checked and the calibrated parameters were fine-tuned until the intensities at all platform angles were consistent with the simulation of wave-optic propagation. When the container was shifted for a distance of z\u2032 along the z-axis and the material was replaced by that with a refractive index of n\u2032, these parameters could be recalculated as follows without the requirement of extra calibration experiments:<\/p>\n<p>$$\\begin{array}{c}\\begin{array}{c}{n}^{{\\prime} }\\sin {\\theta }_{{\\rm{r}}}^{{\\prime} }=n\\sin {\\theta }_{{\\rm{r}}}\\\\ {z}_{0}^{{\\prime} }\\tan {\\theta }_{{\\rm{r}}}^{{\\prime} }={z}_{0}\\tan {\\theta }_{{\\rm{r}}}-{z}^{{\\prime} }\\tan {\\theta }_{{\\rm{i}}}\\\\ {z}_{{\\rm{r}}}^{{{\\rm{c}}}^{{\\prime} }}\\sin {\\theta }_{{\\rm{r}}}^{{\\prime} }={z}_{{\\rm{r}}}^{{\\rm{c}}}\\sin {\\theta }_{{\\rm{r}}}\\\\ ({x}_{{\\rm{i}}}^{0\\varphi {\\prime} },{y}_{{\\rm{i}}}^{0\\varphi {\\prime} })=({x}_{{\\rm{i}}}^{0\\varphi },{y}_{{\\rm{i}}}^{0\\varphi })\\end{array}\\end{array}$$<\/p>\n<p>Holographic optimization algorithm<\/p>\n<p>First, the optimization problem to obtain the coarse 3D intensity distributions \\({I}_{\\varphi }^{\\mathrm{coarse}}\\) contributed by each angle is shown below:<\/p>\n<p>$$\\left\\{\\begin{array}{c}\\min \\,L={\\sum }_{\\overrightarrow{x}\\in A}\\,{|{d}_{{\\rm{h}}}-\\mu (\\overrightarrow{x})I(\\overrightarrow{x})\\Delta t|}^{2}+{\\sum }_{\\overrightarrow{x}\\in \\tilde{A}}\\,{|\\mu (\\overrightarrow{x})I(\\overrightarrow{x})\\Delta t-{d}_{{\\rm{l}}}|}^{2}\\\\ {\\rm{s}}\\,.{\\rm{t}}\\,.\\,I={\\sum }_{\\varphi }{I}_{\\varphi }^{\\mathrm{coarse}}\\end{array},\\right.$$<\/p>\n<p>in which \\(\\vec{x}\\) represents the 3D coordinates in the objective area, \u03c6 represents the projection angle, \\(\\mu (\\vec{x})\\) represents the attenuation during the propagation in materials and thus \\(\\mu (\\vec{x})I(\\vec{x}){\\rm{\\triangle }}t\\) represents the accumulated dose at each point. A represents the 3D region of the target model to be printed, in which the accumulated dose is expected to be dh for polymerization and \\(\\widetilde{A}\\) represents the area outside the target region in which the accumulated dose is supposed to be smaller than the threshold dl to avoid overexposure. \u0394t corresponds to the temporal duration of each projection. The number of projection angles for optimization in this step can be reduced by duplicating the pattern with adjacent angles to accelerate the computation process. The binary restrictions and the effect of diffraction are ignored in this process; therefore, the traditional methods<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 33\" title=\"Bhattacharya, I., Toombs, J. &amp; Taylor, H. High fidelity volumetric additive manufacturing. Addit. Manuf. 47, 102299 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR33\" id=\"ref-link-section-d35673078e3373\" rel=\"nofollow noopener\" target=\"_blank\">33<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 34\" title=\"Rackson, C. M. et al. Object-space optimization of tomographic reconstructions for additive manufacturing. Addit. Manuf. 48, 102367 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR34\" id=\"ref-link-section-d35673078e3376\" rel=\"nofollow noopener\" target=\"_blank\">34<\/a> can be implemented to solve this problem.<\/p>\n<p>Then, the following holographic problem is sequentially solved for each group of G adjacent binary projection patterns:<\/p>\n<p>$$\\left\\{\\begin{array}{c}\\min \\,L={\\sum }_{\\overrightarrow{x}\\in A}\\,{|{d}_{{\\rm{h}}}-\\mu (\\overrightarrow{x})I(\\overrightarrow{x})\\Delta t|}^{2}+{\\sum }_{\\overrightarrow{x}\\in \\tilde{A}}\\,{|\\mu (\\overrightarrow{x})I(\\overrightarrow{x})\\Delta t-{d}_{{\\rm{l}}}|}^{2}\\\\ {\\rm{s}}\\,.{\\rm{t}}\\,.\\,I={\\sum }_{\\varphi {\\prime} \\notin \\{{\\varphi }_{g}\\}}{I}_{\\varphi {\\prime} }^{\\mathrm{temp}}+{\\sum }_{{\\varphi }_{g}}\\,{|{{\\mathcal{H}}}_{{\\varphi }_{g}}({\\delta }_{{\\varphi }_{g}}u)|}^{2},\\,{\\delta }_{{\\varphi }_{g}}\\in \\{0,1\\},\\,g\\in \\{1,2,\\ldots ,G\\}\\end{array}.\\right.$$<\/p>\n<p>Here the loss function is the same as that in the previous problem. \\({I}_{\\varphi }^{\\mathrm{temp}}\\) is initialized as \\({I}_{\\varphi }^{\\mathrm{coarse}}\\) and will be updated to be \\({|{{\\mathcal{H}}}_{\\varphi }({\\delta }_{\\varphi }u)|}^{2}\\) after \u03b4\u03c6 is holographically optimized. {\u03c6g} is a set of adjacent G angles centred at \u03c6. \\({\\delta }_{{\\varphi }_{g}}\\) is the binary image shown by the DMD for the angle \u03c6g. u represents the non-uniform amplitude distribution of the beam, which can be calibrated using a beam profiler. \\({{\\mathcal{H}}}_{{\\varphi }_{g}}\\) represents the process of light propagation in wave optics considering the refraction at the surface of air and material.<\/p>\n<p>To solve this discrete optimization in the complex number domain, a virtual complex amplitude V\u03c6 is introduced to represent the average power of these G binary projections. It satisfies the condition that \\({|{V}_{\\varphi }|}^{2}\\approx {\\sum }_{{\\varphi }_{g}}\\,{|{\\delta }_{{\\varphi }_{g}}u|}^{2}\/G\\). Within each iteration, the phase of \\({{\\mathcal{H}}}_{\\varphi }{V}_{\\varphi }\\) is assumed to be constant and the binarization error is temporarily ignored, that is \\({|{{\\mathcal{H}}}_{\\varphi }{V}_{\\varphi }|}^{2}\\approx {\\sum }_{{\\varphi }_{g}}\\,{|{{\\mathcal{H}}}_{{\\varphi }_{g}}({\\delta }_{{\\varphi }_{g}}u)|}^{2}\/G\\), thus the gradient descent of V\u03c6 can be approximated. Then V\u03c6 is updated along its gradient-descent direction and converted to its nearest positive real number.<\/p>\n<p>The image set \\(\\{{\\delta }_{{\\varphi }_{g}}\\}\\) is calculated by \\({\\delta }_{{\\varphi }_{g}}=\\{{|{V}_{\\varphi }|}^{2}\\ge (g-0.5)\/G\\cdot {|u|}^{2}\\}\\) and the best \\(\\{{\\delta }_{{\\varphi }_{g}}\\}\\) that minimizes the loss function is selected as the output. The flow chart of the holographic optimization is demonstrated in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig9\" rel=\"nofollow noopener\" target=\"_blank\">4a<\/a>. Notably, directly converting a greyscale projection into a sequence of binary projections results in degraded intensity contrast for out-of-focus planes, because the light beams projected at different time points lack coherence to each other. Consequently, the intensity of direct projection \\({|{{\\mathcal{H}}}_{\\varphi }{V}_{\\varphi }|}^{2}\\) differs from that of the incoherent synthesis of binary projections \\({\\sum }_{{\\varphi }_{g}}\\,{|{{\\mathcal{H}}}_{{\\varphi }_{g}}({\\delta }_{{\\varphi }_{g}}u)|}^{2}\/G\\), as shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig9\" rel=\"nofollow noopener\" target=\"_blank\">4b<\/a>. The incoherent synthesis more accurately represents our experimental implementation, thereby reducing dose estimation errors.<\/p>\n<p>In the printing experiments, a volume pixel size of 5.4\u2009\u03bcm was used to match the DMD pixel size at the conjugate plane. In the simulations depicted in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a> and Extended Data Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig10\" rel=\"nofollow noopener\" target=\"_blank\">5<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig11\" rel=\"nofollow noopener\" target=\"_blank\">6<\/a>, a volume pixel size of 1.8\u2009\u03bcm was used. A total of 180\u2009greyscale images were derived from the traditional algorithms and the binarization parameter G was set to 10, yielding 1,800\u2009binary projections to minimize the effect of motion blur. Each group underwent 20\u2009holographic optimization cycles. For a model with dimensions 1,350\u2009\u00d7\u20091,350\u2009\u00d7\u20091,852 (corresponding to 7.3\u2009\u00d7\u20097.3\u2009\u00d7\u200910.0\u2009mm), our implemented holographic algorithm<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 49\" title=\"Wang, X. Codes for digital incoherent synthesis of holographic light fields (DISH). Zenodo &#010;                https:\/\/doi.org\/10.5281\/zenodo.17905914&#010;                &#010;               (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR49\" id=\"ref-link-section-d35673078e4534\" rel=\"nofollow noopener\" target=\"_blank\">49<\/a>, using the parameters mentioned above, required approximately 24\u2009h to complete in MATLAB\u2009R2023a, running on an Intel Core\u2009i7-11700\u2009CPU. Deep learning methods and GPUs may be used in the future to accelerate the computing process.<\/p>\n<p>Materials used for printingPEGDA hydrogel<\/p>\n<p>20%\u2009w\/v PEGDA with an average molecular weight of 1,000\u2009g\u2009mol\u22121 (PEGDA\u20091000, P902470, Macklin) was dissolved in deionized water. 0.25%\u2009w\/w of lithium phenyl-2,4,6-trimethylbenzoylphosphinate (LAP; L157759, Aladdin) was added as a photoinitiator. This solution was used for Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1c<\/a>, Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9d<\/a> and Supplementary Video\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM3\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>.<\/p>\n<p>PEGDA mixed solvent<\/p>\n<p>20%\u2009w\/v PEGDA\u20091000, 20%\u2009w\/v deionized water and 60% polyethylene glycol with an average molecular weight of 400\u2009g\u2009mol\u22121 (PEG\u2009400, P815616, Macklin) were mixed and stirred for 30\u2009min. 0.25% LAP was added as a photoinitiator. This gel was used for Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a\u2013f<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5b,c<\/a>, Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9a,b,e,k<\/a> and Supplementary Video\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM4\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>. PEGDA mixed solvent ink was used to characterize the performance of DISH. PEG can serve as porogen<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 50\" title=\"Mandsberg, N. K., Aslan, F., Dong, Z. &amp; Levkin, P. A. 3D printing of reactive macroporous polymers via thiol-ene chemistry and polymerization-induced phase separation. Chem. Commun. 60, 5872&#x2013;5875 (2024).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR50\" id=\"ref-link-section-d35673078e4585\" rel=\"nofollow noopener\" target=\"_blank\">50<\/a> and causes polymerization-induced phase separation in the printed samples. Although the polymer frameworks are still formed by PEGDA, the samples appear white instead of transparent owing to the scattering induced by phase separation. The enhanced scattering makes the printouts more visible and the printing process can thus be directly captured by cameras. Also, binary solvents could induce faster polymerization than a single solvent<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 51\" title=\"Beiler, B., S&#xE1;fr&#xE1;ny, &#xC1;, Bat&#xF3;, L., Szomor, Z. &amp; Veres, M. Effect of binary porogen mixtures on polymer monoliths prepared by gamma-radiation initiated polymerization. Heliyon 10, e38852 (2024).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR51\" id=\"ref-link-section-d35673078e4589\" rel=\"nofollow noopener\" target=\"_blank\">51<\/a> and faster curing is suitable for DISH to increase the printing speed.<\/p>\n<p>PEGDA resin<\/p>\n<p>2\u2009mM photoinitiator diphenyl (2,4,6-trimethylbenzoyl) phosphine oxide (TPO; T107643, Aladdin) was added to PEGDA with an average molecular weight of 1,000\u2009g\u2009mol\u22121 (P131592, Aladdin) and stirred until fully dissolved. This material was used to print objects in Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1b<\/a>, <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4l\u2013o<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5e\u2013h<\/a>, Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9f,g,i,j,l,m<\/a> and Supplementary Videos\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM5\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM6\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>.<\/p>\n<p>SilMA hydrogel<\/p>\n<p>SilMA was synthesized following the protocol in ref.\u2009<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 52\" title=\"Kim, S. H. et al. 3D bioprinted silk fibroin hydrogels for tissue engineering. Nat. Protoc. 16, 5484&#x2013;5532 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR52\" id=\"ref-link-section-d35673078e4630\" rel=\"nofollow noopener\" target=\"_blank\">52<\/a>. 2\u2009g SilMA was dissolved in deionized water to make a 10-ml solution. The 20%\u2009w\/v SilMA was used with 0.25% LAP and the printouts are shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9o<\/a>.<\/p>\n<p>GelMA hydrogel<\/p>\n<p>GelMA was synthesized following the protocol in ref.\u2009<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 53\" title=\"Yue, K. et al. Synthesis, properties, and biomedical applications of gelatin methacryloyl (GelMA) hydrogels. Biomaterials 73, 254&#x2013;271 (2015).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#ref-CR53\" id=\"ref-link-section-d35673078e4646\" rel=\"nofollow noopener\" target=\"_blank\">53<\/a>. 1\u2009g GelMA was dissolved in deionized water to make a 10-ml solution. The 10%\u2009w\/v SilMA was used with 0.25% LAP and the printouts are shown in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5k<\/a>.<\/p>\n<p>BPAGDA resin<\/p>\n<p>BPAGDA (411167, Sigma) was mixed at 3:2\u2009w\/w with 2-hydroxyethyl methacrylate (HEMA; H810855, Macklin). 2\u2009mM TPO was added and the mixture was stirred at 60\u2009\u00b0C for 30\u2009min. The printouts are shown in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5j<\/a>.<\/p>\n<p>DPHA resin<\/p>\n<p>DPHA (D889657, Macklin) was mixed at 2:1\u2009w\/w with HEMA. 2\u2009mM TPO was added and the mixture was stirred at 60\u2009\u00b0C for 30\u2009min. The printouts are shown in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5i<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9n<\/a>.<\/p>\n<p>UDMA resin<\/p>\n<p>UDMA (D885973, Macklin) was mixed at 4:1\u2009w\/w with HEMA. 2\u2009mM TPO was added and the mixture was stirred at 40\u2009\u00b0C for 30\u2009min. The printouts are shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9c,p<\/a>.<\/p>\n<p>UDMA\u2009+\u2009PEGDA resin<\/p>\n<p>UDMA was mixed at 1:1\u2009w\/w with PEGDA. 2\u2009mM TPO was added and the mixture was stirred at 40\u2009\u00b0C for 30\u2009min. The printouts are shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9h<\/a>.<\/p>\n<p>The viscosity of the inks was tested by Anton Paar MCR\u2009302e, rotor CP50, shearing rate 100\u2009s\u22121. The viscosities of these materials are: 20% PEGDA hydrogel: 4.734\u2009cP; 20% SilMA hydrogel: 40.12\u2009cP; PEGDA mixed solvent: 63.85\u2009cP; PEGDA resin: 99.11\u2009cP; BPAGDA resin: 656.38\u2009cP; DPHA resin: 750.49\u2009cP; UDMA resin: 562.99\u2009cP. These samples were tested at room temperature (25\u2009\u00b0C). 10% GelMA hydrogel was used and tested at 40\u2009\u00b0C as a liquid ink and the viscosity is 14.15\u2009cP.<\/p>\n<p>Printing and post-processing<\/p>\n<p>The inks can be directly replaced for each printing process and resin reuse could be achieved through heating and exposure to ambient air, as demonstrated in previous volumetric printing systems. Furthermore, low-viscosity materials used for printing, such as PEGDA aqueous solution, facilitate the spontaneous replenishment of dissolved oxygen. Gentle pipetting between printing sessions was conducted to maintain the printing performance for these low-viscosity inks.<\/p>\n<p>The printouts were gently separated from the uncured materials and washed with water or ethanol. For high-viscosity resins, heating and ultrasonics could be involved to aid cleaning. Subsequently, an extra 405-nm light exposure (30\u2009mW\u2009cm\u22122) was applied for 60\u2009s in corresponding photoinitiator solutions (water containing 0.25% LAP or ethanol containing 2\u2009mM TPO). For hydrogel samples, dipotassium hydrogen phosphate solution (9.7%\u2009w\/v) was used to balance the swelling in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9a,b<\/a>, making the microscopic length the same as the designed length.<\/p>\n<p>Visualization of the printed products<\/p>\n<p>In Supplementary Videos\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM3\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM4\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>, the products were directly imaged within the material. In Supplementary Video\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM3\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>, the subtle variation in refractive index was visualized by placing a checkerboard pattern behind the container. In Supplementary Video\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM4\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>, a green laser beam was used to enhance scattering without influencing the curing reaction. In Supplementary videos\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM5\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM6\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>, the cleaning process is temporarily put in a cuvette for better filming, with usual washing using bigger containers and more solvent to ensure cleanliness.<\/p>\n<p>The products were post-processed and then photographed in various ways: macro photography (Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1b<\/a>, <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a,j,k,m<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5g\u2013k<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9b<\/a> left, <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9f,j\u2013p<\/a>), stereoscopy (Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5e,f<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9c,i<\/a>) and bright-field microscopy (Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1c<\/a> right and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a\u2013f,h,i,n,o<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9a,b,d,e,g<\/a>). The hollow structure was validated by injecting different colours of ink, including Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">5h,k<\/a> and Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9g,i,o<\/a>. The X-ray computed tomography scanning in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">9h<\/a> was conducted using a ZEISS Xradia 620 Versa.<\/p>\n<p>All dimensions of the printed objects are reported as mean\u2009\u00b1\u2009standard deviation. For the linewidths in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4a,b<\/a>, n\u2009=\u200920 measurements were taken for each stripe group across the sample. Data in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4g<\/a> were obtained at each indicated axial position, with n\u2009=\u20096 measurements per position. For the fishbone width in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4i<\/a>, n\u2009=\u200910 measurements were performed. For the conch structure in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4m\u2013o<\/a>, a total of n\u2009=\u200940 measurements was conducted across its various lines.<\/p>\n<p>Reporting summary<\/p>\n<p>Further information on research design is available in the <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-10114-5#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">Nature Portfolio Reporting Summary<\/a> linked to this article.<\/p>\n","protected":false},"excerpt":{"rendered":"Experimental set-up Extended Data Fig.\u20092 shows the experimental set-up of DISH. A coherent 405-nm light beam emitted from&hellip;\n","protected":false},"author":2,"featured_media":467130,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32],"tags":[229,1159,217255,31842,1160,79,106607],"class_list":["post-467129","post","type-post","status-publish","format-standard","has-post-thumbnail","category-science","tag-design","tag-humanities-and-social-sciences","tag-laser-material-processing","tag-mechanical-engineering","tag-multidisciplinary","tag-science","tag-synthesis-and-processing"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/467129","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/comments?post=467129"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/467129\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media\/467130"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media?parent=467129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/categories?post=467129"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/tags?post=467129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}