IP Library › Granted Patent US 12,552,195
Granted Patent B2
US 12,552,195 · App. 18/867,153 · Granted Feb 17, 2026

Formation of dendritic identifiers by stamping

Inventor: Michael N. Kozicki (Phoenix, AZ)
Assignee: Arizona Board of Regents on behalf of Arizona State University
B42D25/425B29C59/02B82Y40/00
View Patent ↗
Loading inventors, assignments & file history…
Monitor This Case
Get email alerts when status or documents change.
Order Certified Copies
Most orders are placed with the USPTO same day — all within 24 business hours.
Order via The Patent Place →
Pre-filled with this patent's details
Quick Facts
Patent No.
US 12,552,195
App. No.
18/867,153
Filed
Nov 19, 2024
Granted
Feb 17, 2026
Kind
B2
Art Unit
2853
USPC
101/32
Abstract

Making a dendritic identifier includes compressing a drop of liquid between a surface of a stamp and a surface of a substrate, and separating the stamp and the substrate to yield a dendritic identifier on the surface of the substrate.

Claims (29)

1 . A method of making a dendritic identifier, the method comprising:

compressing a drop of liquid between a surface of a stamp and a surface of a substrate; and

separating the stamp and the substrate to yield a dendritic identifier on the surface of the substrate.

2 . The method of claim 1 , wherein compressing the drop of liquid comprises:

disposing the drop of liquid on the surface of the substrate; and

contacting the drop of liquid with the surface of the stamp, thereby compressing the drop of liquid between the surface of the stamp and the surface of the substrate,

wherein disposing the drop of liquid on the surface of the substrate comprises:

dispensing the drop of liquid through an orifice of a nozzle onto the surface of the substrate; or

applying the drop of liquid to the surface of the stamp, and contacting the surface of the substrate with the drop of liquid.

3 . The method of claim 1 , wherein the surface of the stamp comprises a membrane defining an opening, and compressing the drop of liquid comprises:

dispensing a volume of the liquid through the opening to form the drop of liquid on a surface of the membrane; and

contacting the drop of liquid with the surface of the substrate.

4 . The method of claim 3 , wherein the surface of the membrane defines a convex surface with respect to the surface of the substrate.

5 . The method of claim 3 , wherein contacting the drop of the liquid with the surface of the substrate comprises flattening the surface of the membrane against the surface of the substrate.

6 . The method of claim 5 , wherein flattening the surface of the membrane against the substrate yields a liquid disk between the membrane and the surface of the substrate.

7 . The method of claim 3 , wherein separating the stamp and the substrate comprises translating the membrane away from the surface of the substrate, wherein translating the membrane away from the surface of the substrate comprises restoring a convex shape to the surface of the membrane.

8 . The method of claim 3 , wherein the membrane is hydrophilic.

9 . The method of claim 3 , wherein a contact angle of the liquid on the surface of the membrane is between about 60° and about 70°.

10 . The method of claim 1 , wherein compressing the drop of liquid between the surface of the stamp and the surface of the substrate yields a liquid disk between the surface of the stamp and the surface of the substrate.

11 . The method of claim 1 , wherein a volume of the drop of liquid is in a range of about 0.1 μL to about 10 μL and a viscosity of the liquid is in a range of about 0.1 Pa·s to about 5 Pa·s at room temperature.

12 . The method of claim 1 , wherein the liquid comprises reflective particles.

13 . The method of claim 1 , wherein the liquid comprises a polymer.

14 . The method of claim 13 , further comprising drying the dendritic identifier, wherein drying the dendritic identifier comprises curing the liquid.

15 . The method of claim 13 , wherein the polymer comprises an acrylic polymer.

16 . The method of claim 1 , wherein a perimeter of the dendritic identifier is circular.

17 . The method of claim 1 , wherein the dendritic identifier comprises a multiplicity of branches extending from a root.

18 . The method of claim 17 , wherein the root is located in an interior of a circle defined by a perimeter of the dendritic identifier.

19 . The method of claim 1 , wherein the surface of the substrate is hydrophilic.

20 . The method of claim 1 , wherein a contact angle of the liquid on the surface of the substrate is between about 60° and about 70°.

Assignments (1)
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Nov 19, 2024
From: KOZICKI, MICHAEL N.
To: ARIZONA BOARD OF REGENTS ON BEHALF OF ARIZONA STATE UNIVERSITY
Reel/Frame 069322/0180 →
Continuity (3)
Provisional Application 63479673 · Jan 12, 2023
Provisional Application 63344369 · May 20, 2022
Related Publication 20250346060A1 · Nov 13, 2025
References Cited (70)
US 4551210A · Parthasarathi · 1985 [cited by applicant]
US 5751308A · Gandy et al. · 1998 [cited by applicant]
US 5798050A · Gaynes et al. · 1998 [cited by applicant]
US 7090880B1 · Droste et al. · 2006 [cited by applicant]
US 7195187B2 · Albers · 2007 [cited by applicant]
US 7704346B2 · Cote · 2010 [cited by applicant]
US 8328349B2 · Hook et al. · 2012 [cited by applicant]
US 9390920B2 · Coe-Sullivan et al. · 2016 [cited by applicant]
US 9430733B2 · Blondiaux et al. · 2016 [cited by applicant]
US 9773141B2 · Kozicki · 2017 [cited by applicant]
US 9836633B2 · Kozicki · 2017 [cited by applicant]
US 10074000B2 · Kozicki · 2018 [cited by applicant]
US 10810731B2 · Kozicki · 2020 [cited by applicant]
US 11430233B2 · Kozicki · 2022 [cited by applicant]
US 11598015B2 · Kozicki et al. · 2023 [cited by applicant]
US 20020098364A1 · Bernard et al. · 2002 [cited by applicant]
US 20110254117A1 · Kozicki · 2011 [cited by applicant]
US 20130063898A1 · Schuett et al. · 2013 [cited by applicant]
US 20140158943A1 · Mason · 2014 [cited by applicant]
US 20150147585A1 · Schwarze et al. · 2015 [cited by applicant]
US 20160086001A1 · Kozicki · 2016 [cited by applicant]
US 20160136992A1 · Mai et al. · 2016 [cited by applicant]
US 20180088059A1 · Kozicki · 2018 [cited by applicant]
US 20180286035A1 · Kozicki · 2018 [cited by applicant]
US 20200117882A1 · Kozicki · 2020 [cited by applicant]
US 20210157888A1 · Kozicki · 2021 [cited by applicant]
US 20210230763A1 · Kozicki et al. · 2021 [cited by applicant]
US 20220027620A1 · Kozicki · 2022 [cited by applicant]
US 20220129648A1 · Kozicki · 2022 [cited by applicant]
US 20230326009A1 · Kozicki · 2023 [cited by applicant]
US 20230331025A1 · Kozicki · 2023 [cited by examiner]
US 20230377115A1 · Kozicki · 2023 [cited by applicant]
US 20230394857A1 · Kozicki · 2023 [cited by applicant]
US 20250005308A1 · Kozicki · 2025 [cited by applicant]
DE 102004002410A1 · 2005 [cited by examiner]
EP 2973209B1 · 2018 [cited by applicant]
WO WO2019211377A1 · 2019 [cited by applicant]
WO WO2020117950A1 · 2020 [cited by applicant]
WO WO2022032199A1 · 2022 [cited by applicant]
WO WO2023069471A1 · 2023 [cited by applicant]
WO WO2023225399A1 · 2023 [cited by applicant]
A. Lindner, D. Derks, and M. J. Shelley (2005) “Stretch flow of thin layers of newtonian liquids: Fingering patterns and lifting forces,” Physics of Fluids, vol. 17, No. 7, 072107, 14 pages. [cited by applicant]
Andria. Exploring Dendritic Painting. Drawing Near The Block of Studio 791. May 16, 2016, retrieved from https://andriadrawingnear.blogspot.com/2016/05/exploring-dendritic-painting.html (Year: 2016). [cited by applicant]
B.S. Kale and K. Bhole (2019) “Parametric Analysis for forming meso fractals from nanoparticle seeded resin in Hele Shaw cell,” IOP Conf. Series: Materials Science and Engineering 577, 012154, doi:10.1088/1757-899X/577/… [cited by applicant]
Extended European Search Report in European Appln. No. 23808442.0, mailed on Aug. 25, 2025, 12 pages. [cited by applicant]
International Preliminary Report on Patentability in International Appln. No. PCT/US2023/023114, mailed on Dec. 5, 2024, 9 pages. [cited by applicant]
International Search Report and Written Opinion in PCT/US2021/045111 dated Jan. 11, 2022, 14 pages. [cited by applicant]
International Search Report and Written Opinion in International Appln. No. PCT/US2023/023114, mailed on Oct. 6, 2023, 23 pages. [cited by applicant]
Invitation to Pay Additional Fees and, Where Applicable, Protest Fee in International Appln. No. PCT/US2023/023114, mailed on Jul. 21, 2023. [cited by applicant]
J. Nase, D. Derks, and A. Lindner (2011) “Dynamic evolution of fingering patterns in a lifted hele-shaw cell,” Physics of Fluids, vol. 23, No. 12, 123101, 12 pages. [cited by applicant]
J.-D. Chen (1989) “Growth of radial viscous fingers in a hele-shaw cell,” Journal of Fluid Mechanics, vol. 201, No. 1, p. 223-242. [cited by applicant]
L. Paterson (1981) “Radial fingering in a hele shaw cell,” Journal of Fluid Mechanics, vol. 113, p. 513-529. [cited by applicant]
M. B. Amar and D. Bonn (2005) “Fingering instabilities in adhesive failure,” Physica D: Nonlinear Phenomena, vol. 209, No. 1-4, p. 1-16. [cited by applicant]
M. J. Shelley, F.-R. Tian, and K. Wlodarski (1997) “Hele-Shaw flow and pattern formation in a time-dependent gap,” Nonlinearity, vol. 10, No. 6, p. 1471-1495. [cited by applicant]
nal.usda.gov [online], Secure Tracebility in the Food Supply Chain Using Cell Phone Reable Dendritic Identifiers: Research, Education & Economics Information System (United States Department of Agriculture), Mar. 2023, … [cited by applicant]
O. Alekseev and M. Mineev-Weinstein (2017) “Theory of stochastic Laplacian growth,” Journal of Statistical Physics, vol. 168, No. 1, p. 68-91. [cited by applicant]
P. Brumm, H.M. Sauer and E. Dörsam (2019) “Scaling Behavior of Pattern Formation in the Flexographic Ink Splitting Process,” Colloids Interfaces, 3, 37; doi:10.3390/colloids3010037, 16 pages. [cited by applicant]
P. G. Saffman and G. I. Taylor (1958) “The penetration of a fluid into a porous medium or hele-shaw cell containing a more viscous liquid,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical… [cited by applicant]
Partial Summary European Search Report in European Appln. No. 23808442.0, mailed on Jun. 2, 2025, 14 pages. [cited by applicant]
Partial Supplementary European Search Report in European Appln No. 21852474.2, mailed on Aug. 20, 2024, 13 pages. [cited by applicant]
Q. Zhang, M.A. Amooie, M.Z. Bazant, and I. Bischofberger (2004) “Growth morphology and symmetry selection of interfacial instabilities in anisotropic environments,” arXiv:2004.02371v1 [physics.flu-dyn]), 9 pages. [cited by applicant]
R. Chuoke, P. van Meurs, and C. van der Poel (1959) “The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media,” Transactions of the AIME, vol. 216, No. 01, p. 188-194. [cited by applicant]
S. Brulin, l.V. Roisman, and C. Tropea (2020) “Fingering instability of a viscous liquid bridge stretched by an accelerating substrate,” J. Fluid Mech., vol. 899, A1, doi:10.1017/jfm.2020.422, 21 pages. [cited by applicant]
S. Sinha, S.K. Kabiraj, T. Dutta, and S. Tarafdar (2003) “Radially interrupted viscous fingers in a lifting Hele-Shaw cell,” Eur. Phys. J. B 36, 297-300, DOI: 10.1140/epjb/e2003-00347-4. [cited by applicant]
T. Dutta, S. Kabiraj, and S. Tarafdar (2002) “Simulation of hierarchical viscous fingering pattern in lifting hele-shaw cell,” arXiv:cond-mat/0212544, arXiv:cond-mat/0212544. [Online]. Available: http://arxiv.org/abs/co… [cited by applicant]
T. Kim, J. Sewall, A. Sud, and M. C. Lin (2007) “Fast simulation of Laplacian growth,” IEEE Computer Graphics and Applications, vol. 27, No. 2, p. 68-76. [cited by applicant]
T. ul Islam & P.S. Gandhi (2016) “Fabrication of multscale fractal-like structures by controlling fluid interface instability,” Scientific Reports, 6:37187, DOI: 10.1038/srep37187, 9 pages. [cited by applicant]
T. ul Islam & P.S. Gandhi (2017) “Spontaneous fabrication of three-dimensional multiscale fractal structures using Hele-Shaw cell,” Journal of Manufacturing Science and Engineering, vol. 139, 031007-1, 6 pages. [cited by applicant]
Twitter.com [online], “The branches form as a less viscous fluid (air) displaces a more viscous fluid (paint) when the glass plates separate,” Jun. 24, 2018, retrieved on Nov. 7, 2023, retrieved from URL <https://twitte… [cited by applicant]
Vimeo.com [online], “Hele-Shaw cell experiments,” Apr. 10, 2011, retrieved on Nov. 7, 2023, retrieved from URL <https://vimeo.com/22212386>, 3 pages [Video Submission]. [cited by applicant]