Misha Koshelev,
We can measure any distance or any amount of time with a most primitive clock and a most primitive ruler: a space-time version of Tyszka's result,
Geombinatorics 7 (1998), no. 3, pp. 95-100.
Joseph Zaks,
A discrete form of the Beckman-Quarles theorem for rational spaces,
J. Geom. 72 (2001), no. 1-2, pp. 199-205.
Joseph Zaks,
The Beckman-Quarles theorem for rational spaces,
Discrete Math. 265, no. 1-3, pp. 311-320 (2003),
Erratum to "The Beckman-Quarles theorem for rational spaces", p.321.
Robert Connelly and Joseph Zaks,
The Beckman-Quarles theorem for rational d-spaces, d even and d \geq 6,
Discrete Geometry, In Honor of W. Kuperberg's 60th birthday (ed. A. Bezdek), pp. 193-199, Marcel Dekker, New York, 2003.
Joseph Zaks,
On mappings of Q^d to Q^d that preserve distances 1 and \sqrt{2},
and the Beckman-Quarles theorem, J. Geom. 82 (2005), no. 1-2, pp. 195-203.
Wafiq Hibi,
The Beckman-Quarles theorem for rational spaces,
Ph.D. thesis, University of Haifa, 2005.
Joseph Zaks,
The rational analogue of the Beckman-Quarles theorem
and the rational realization of some sets in E^d,
Rendiconti di Matematica, Serie VII, vol. 26 (2006), pp. 87-94.
Gunter Lettl,
Finitely arithmetically fixed elements of a field,
Archiv der Mathematik 87 (2006), no. 6, pp. 530-538.
P. D. Andreev,
A. D. Alexandrov's problem for CAT(0)-spaces,
Siberian Mathematical Journal 47 (2006), no. 1, pp. 1-17.
Joseph M. Ling,
A normed space with the Beckman-Quarles property,
Beitrage zur Algebra und Geometrie
(Contributions to Algebra and Geometry)
48 (2007) no. 1, pp. 131-139.
Jean-Pierre Ehrmann,
Constructive solution of a generalization of Steinhaus' problem on partition of a triangle,
Forum Geometricorum, 7 (2007), pp. 187-190.
Jean-Pierre Ehrmann,
An affine variant of a Steinhaus problem, Forum Geometricorum, 8 (2008) pp. 1-5.
Victor Pambuccian,
Universal-existential axiom systems for geometries expressed with Pieri's isosceles triangle as single primitive notion,
Rend. Sem. Mat. Univ. Pol. Torino Vol. 67 (2009), no. 3, pp. 327-339.
Alexandr Kuzminykh,
On diversity and stability of unit bases for the Euclidean metric,
Journal of Geometry 94 (2009), no. 1-2, pp. 143-150.
Jerzy Browkin,
On systems of Diophantine equations with a large number of solutions,
Colloq. Math. 121 (2010), no. 2, pp. 195-201.
Mihai Cipu,
Small solutions to systems of polynomial equations with integer coefficients,
An. St. Univ. Ovidius Constanta 19 (2011), no. 2, pp. 89-100.
Pedro J. Freitas, Shmuel Friedland, and Gaspar Porta,
Upper bounds on the magnitude of solutions of certain linear systems with integer coefficients,
Electronic Journal of Linear Algebra 24 (2012), pp. 113-125.
Gyorgy P. Geher,
On n-norm preservers and the Aleksandrov conservative n-distance problem. Aequationes Math. 91 (2017), no. 5, 933-943.