Katsuura, Hidefumi Solid angle sum of a tetrahedron. (English) Zbl 1447.51020 J. Geom. Graph. 24, No. 1, 29-34 (2020). MSC: 51M16 51M04 PDF BibTeX XML Cite \textit{H. Katsuura}, J. Geom. Graph. 24, No. 1, 29--34 (2020; Zbl 1447.51020) Full Text: Link
Borisenko, Aleksandr A.; Sukhorebska, Dar’ya D. Simple closed geodesics on regular tetrahedra in Lobachevsky space. (English. Russian original) Zbl 1453.51005 Sb. Math. 211, No. 5, 617-642 (2020); translation from Mat. Sb. 211, No. 5, 5-30 (2020). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 51M09 51M20 53A35 53C22 52A15 PDF BibTeX XML Cite \textit{A. A. Borisenko} and \textit{D. D. Sukhorebska}, Sb. Math. 211, No. 5, 617--642 (2020; Zbl 1453.51005); translation from Mat. Sb. 211, No. 5, 5--30 (2020) Full Text: DOI
Vránics, Angéla; Szirmai, Jenö Lattice coverings by congruent translation balls using translation-like bisector surfaces in Nil geometry. (English) Zbl 1447.52022 KoG 23, 6-17 (2019). MSC: 52C17 52C35 52C22 PDF BibTeX XML Cite \textit{A. Vránics} and \textit{J. Szirmai}, KoG 23, 6--17 (2019; Zbl 1447.52022) Full Text: DOI
Astapov, N. S.; Astapov, I. S. The variety of generalizations of the Ptolemy’s theorem. (Russian. English summary) Zbl 1436.52005 Dal’nevost. Mat. Zh. 19, No. 2, 129-137 (2019). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A38 52A40 PDF BibTeX XML Cite \textit{N. S. Astapov} and \textit{I. S. Astapov}, Dal'nevost. Mat. Zh. 19, No. 2, 129--137 (2019; Zbl 1436.52005) Full Text: MNR
Akopyan, Arseniy; Izmestiev, Ivan The Regge symmetry, confocal conics, and the Schläfli formula. (English) Zbl 1445.51011 Bull. Lond. Math. Soc. 51, No. 5, 765-775 (2019). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 51M20 PDF BibTeX XML Cite \textit{A. Akopyan} and \textit{I. Izmestiev}, Bull. Lond. Math. Soc. 51, No. 5, 765--775 (2019; Zbl 1445.51011) Full Text: DOI arXiv
Fu, Miao; Lian, Yanlu; Zhang, Yuqin On parallel packing and covering of squares and cubes. (English) Zbl 1425.52016 Result. Math. 74, No. 4, Paper No. 158, 13 p. (2019). MSC: 52C15 52C17 PDF BibTeX XML Cite \textit{M. Fu} et al., Result. Math. 74, No. 4, Paper No. 158, 13 p. (2019; Zbl 1425.52016) Full Text: DOI
Frigerio, R.; Moraschini, Marco On volumes of truncated tetrahedra with constrained edge lengths. (English) Zbl 1438.52025 Period. Math. Hung. 79, No. 1, 32-49 (2019). Reviewer: Mircea Balaj (Oradea) MSC: 52A55 52A38 52B10 57M50 PDF BibTeX XML Cite \textit{R. Frigerio} and \textit{M. Moraschini}, Period. Math. Hung. 79, No. 1, 32--49 (2019; Zbl 1438.52025) Full Text: DOI
De Bruyn, Bart Some notes on tetrahedrally closed spherical sets in Euclidean spaces. (English) Zbl 1421.52018 Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 15, 7 p. (2019). Reviewer: Chudamani Pranesachar Anil Kumar (Chennai) MSC: 52C07 52C35 05B25 PDF BibTeX XML Cite \textit{B. De Bruyn}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 15, 7 p. (2019; Zbl 1421.52018) Full Text: DOI
Szirmai, Jenő Bisector surfaces and circumscribed spheres of tetrahedra derived by translation curves in Sol geometry. (English) Zbl 1411.53016 New York J. Math. 25, 107-122 (2019). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A35 53B20 52C35 PDF BibTeX XML Cite \textit{J. Szirmai}, New York J. Math. 25, 107--122 (2019; Zbl 1411.53016) Full Text: Link
Caldarola, Fabio The exact measures of the Sierpiński \(d\)-dimensional tetrahedron in connection with a Diophantine nonlinear system. (English) Zbl 07265242 Commun. Nonlinear Sci. Numer. Simul. 63, 228-238 (2018). MSC: 37 54 PDF BibTeX XML Cite \textit{F. Caldarola}, Commun. Nonlinear Sci. Numer. Simul. 63, 228--238 (2018; Zbl 07265242) Full Text: DOI
Wanner, Gerhard F. Commandino, de centro gravitatis solidorum, 1565. (English) Zbl 1431.51001 Elem. Math. 73, No. 4, 179-181 (2018). Reviewer: Martin Lukarevski (Skopje) MSC: 51-03 01A40 51M04 PDF BibTeX XML Cite \textit{G. Wanner}, Elem. Math. 73, No. 4, 179--181 (2018; Zbl 1431.51001) Full Text: DOI
Brandts, Jan; Křížek, Michal Curious properties of dual and isosceles tetrahedra. (Czech) Zbl 1413.51010 Pokroky Mat. Fyz. Astron. 63, No. 1, 41-50 (2018). Reviewer: Jaroslav Mlýnek (Liberec) MSC: 51M20 51M04 51-02 PDF BibTeX XML Cite \textit{J. Brandts} and \textit{M. Křížek}, Pokroky Mat. Fyz. Astron. 63, No. 1, 41--50 (2018; Zbl 1413.51010) Full Text: Link
Romakina, Lyudmila To the volumes theory of a hyperbolic space of positive curvature. (English) Zbl 1414.51013 J. Geom. Graph. 22, No. 1, 67-86 (2018). Reviewer: Andrzej Szczepański (Gdańsk) MSC: 51M10 14Q10 51M25 PDF BibTeX XML Cite \textit{L. Romakina}, J. Geom. Graph. 22, No. 1, 67--86 (2018; Zbl 1414.51013) Full Text: Link
Demey, Lorenz; Smessaert, Hans Geometric and cognitive differences between logical diagrams for the Boolean algebra \(\mathbb {B}_{4}\). (English) Zbl 1448.68404 Ann. Math. Artif. Intell. 83, No. 2, 185-208 (2018). MSC: 68T30 03B05 03B45 51M20 52B10 PDF BibTeX XML Cite \textit{L. Demey} and \textit{H. Smessaert}, Ann. Math. Artif. Intell. 83, No. 2, 185--208 (2018; Zbl 1448.68404) Full Text: DOI
Xia, Songtao; Qian, Xiaoping Isogeometric analysis with Bézier tetrahedra. (English) Zbl 1439.65019 Comput. Methods Appl. Mech. Eng. 316, 782-816 (2017). MSC: 65D07 65N30 65D17 PDF BibTeX XML Cite \textit{S. Xia} and \textit{X. Qian}, Comput. Methods Appl. Mech. Eng. 316, 782--816 (2017; Zbl 1439.65019) Full Text: DOI
Demey, Lorenz; Smessaert, Hans Logical and geometrical distance in polyhedral Aristotelian diagrams in knowledge representation. (English) Zbl 1423.68489 Symmetry 9, No. 10, Paper No. 204, 22 p. (2017). MSC: 68T30 03G05 52B10 PDF BibTeX XML Cite \textit{L. Demey} and \textit{H. Smessaert}, Symmetry 9, No. 10, Paper No. 204, 22 p. (2017; Zbl 1423.68489) Full Text: DOI
Joós, Antal Finding equal-diameter tetrahedralizations of polyhedra. (English) Zbl 1391.52014 Beitr. Algebra Geom. 58, No. 4, 679-698 (2017). Reviewer: A. E. Litvak (Edmonton) MSC: 52B10 52C17 PDF BibTeX XML Cite \textit{A. Joós}, Beitr. Algebra Geom. 58, No. 4, 679--698 (2017; Zbl 1391.52014) Full Text: DOI
Davis, Diana; Dods, Victor; Traub, Cynthia; Yang, Jed Geodesics on the regular tetrahedron and the cube. (English) Zbl 1360.52010 Discrete Math. 340, No. 1, 3183-3196 (2017). Reviewer: Zdeněk Dušek (Hradec Kralove) MSC: 52B70 52C05 52C20 53C22 PDF BibTeX XML Cite \textit{D. Davis} et al., Discrete Math. 340, No. 1, 3183--3196 (2017; Zbl 1360.52010) Full Text: DOI
Sun, Xin; Ma, Sijia; Li, Minghui A new method of computing the volume of a tetrahedron in analytic geometry courses. (Chinese. English summary) Zbl 1374.97002 J. Shenyang Norm. Univ., Nat. Sci. 34, No. 3, 338-342 (2016). MSC: 97G30 97G70 PDF BibTeX XML Cite \textit{X. Sun} et al., J. Shenyang Norm. Univ., Nat. Sci. 34, No. 3, 338--342 (2016; Zbl 1374.97002) Full Text: DOI
Kolpakov, Alexander; Murakami, Jun The dual Jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms. (English) Zbl 1358.51014 Tokyo J. Math. 39, No. 1, 45-67 (2016). Reviewer: Egon Schulte (Boston) MSC: 51M20 51M25 52A38 PDF BibTeX XML Cite \textit{A. Kolpakov} and \textit{J. Murakami}, Tokyo J. Math. 39, No. 1, 45--67 (2016; Zbl 1358.51014) Full Text: DOI Euclid
Garoufalidis, Stavros The 3D index of an ideal triangulation and angle structures. (English) Zbl 1410.57016 Ramanujan J. 40, No. 3, 573-604 (2016). MSC: 57N10 57M25 PDF BibTeX XML Cite \textit{S. Garoufalidis}, Ramanujan J. 40, No. 3, 573--604 (2016; Zbl 1410.57016) Full Text: DOI arXiv
Leng, Gangsong Geometric inequalities. Translated by Yongming Liu. (English) Zbl 1332.51002 Mathematical Olympiad Series 12. Hackensack, NJ: World Scientific (ISBN 978-981-4704-13-7/hbk; 978-981-4696-48-7/pbk). viii, 136 p. (2016). Reviewer: Cătălin Barbu (Bacau) MSC: 51-01 51M16 00A35 PDF BibTeX XML Cite \textit{G. Leng}, Geometric inequalities. Translated by Yongming Liu. Hackensack, NJ: World Scientific (2016; Zbl 1332.51002) Full Text: DOI
Babiker, Hassan; Janeczko, Stanisław Combinatorial representation of tetrahedral chains. (English) Zbl 1359.52026 Commun. Inf. Syst. 15, No. 3, 331-359 (2015). Reviewer: Christian Richter (Jena) MSC: 52C45 05B40 05E18 51M20 52B10 52B12 52C17 PDF BibTeX XML Cite \textit{H. Babiker} and \textit{S. Janeczko}, Commun. Inf. Syst. 15, No. 3, 331--359 (2015; Zbl 1359.52026) Full Text: DOI
Krasnov, V. A. On integral expressions for volumes of hyperbolic tetrahedra. (English. Russian original) Zbl 1332.52005 J. Math. Sci., New York 211, No. 4, 531-541 (2015); translation from Sovrem. Mat., Fundam. Napravl. 49, 89-98 (2013). MSC: 52A38 52B10 PDF BibTeX XML Cite \textit{V. A. Krasnov}, J. Math. Sci., New York 211, No. 4, 531--541 (2015; Zbl 1332.52005); translation from Sovrem. Mat., Fundam. Napravl. 49, 89--98 (2013) Full Text: DOI
Dimitrov, Nikolay Hyper-ideal circle patterns with cone singularities. (English) Zbl 1330.52026 Result. Math. 68, No. 3-4, 455-499 (2015). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52C26 52A55 57M50 52C25 PDF BibTeX XML Cite \textit{N. Dimitrov}, Result. Math. 68, No. 3--4, 455--499 (2015; Zbl 1330.52026) Full Text: DOI arXiv
Charles, Christoph; Livine, Etera R. Closure constraints for hyperbolic tetrahedra. (English) Zbl 1323.83011 Classical Quantum Gravity 32, No. 13, Article ID 135003, 32 p. (2015). MSC: 83C45 53Z05 83C60 57M50 PDF BibTeX XML Cite \textit{C. Charles} and \textit{E. R. Livine}, Classical Quantum Gravity 32, No. 13, Article ID 135003, 32 p. (2015; Zbl 1323.83011) Full Text: DOI arXiv
Liu, David J. T.; Du, Qiang Optimization of subdivision invariant tetrahedra. (English) Zbl 1341.68297 Int. J. Comput. Geom. Appl. 25, No. 1, 37-56 (2015). MSC: 68U05 51M20 PDF BibTeX XML Cite \textit{D. J. T. Liu} and \textit{Q. Du}, Int. J. Comput. Geom. Appl. 25, No. 1, 37--56 (2015; Zbl 1341.68297) Full Text: DOI
Lu, Jian; Zou, Yuru; Yang, Chaoying; Wang, Lijing Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space. (English) Zbl 1331.68255 Nonlinear Dyn. 77, No. 4, 1643-1651 (2014). MSC: 68U05 28A80 37C25 37D45 PDF BibTeX XML Cite \textit{J. Lu} et al., Nonlinear Dyn. 77, No. 4, 1643--1651 (2014; Zbl 1331.68255) Full Text: DOI
Pech, Pavel On a 3D extension of the Simson-Wallace theorem. (English) Zbl 1317.51026 J. Geom. Graph. 18, No. 2, 205-215 (2014). MSC: 51N20 51N05 51N35 PDF BibTeX XML Cite \textit{P. Pech}, J. Geom. Graph. 18, No. 2, 205--215 (2014; Zbl 1317.51026) Full Text: Link
Zong, Chuanming On the translative packing densities of tetrahedra and cuboctahedra. (English) Zbl 1295.52023 Adv. Math. 260, 130-190 (2014). Reviewer: Christian Richter (Jena) MSC: 52C17 11H31 52A15 52A40 52B10 PDF BibTeX XML Cite \textit{C. Zong}, Adv. Math. 260, 130--190 (2014; Zbl 1295.52023) Full Text: DOI arXiv
Bhattacharyya, Arindam; Pal, Buddhadev Volume of a tetrahedron revisited. (English) Zbl 1290.65015 Demonstr. Math. 47, No. 1, 253-257 (2014). MSC: 65D18 51M04 PDF BibTeX XML Cite \textit{A. Bhattacharyya} and \textit{B. Pal}, Demonstr. Math. 47, No. 1, 253--257 (2014; Zbl 1290.65015) Full Text: DOI
Wang, Wen; Yang, Shi-Guo; Yu, Jing; Qi, Ji-Bing A new Neuberg-Pedoe type inequality for two tetrahedrons with applications. (English) Zbl 1357.51017 Int. J. Geom. 2, No. 1, 60-67 (2013). MSC: 51M16 51M25 52B10 52B12 52A38 52A40 PDF BibTeX XML Cite \textit{W. Wang} et al., Int. J. Geom. 2, No. 1, 60--67 (2013; Zbl 1357.51017) Full Text: Link
Marshall, Susan H.; Perlis, Alexander R. Heronian tetrahedra are lattice tetrahedra. (English) Zbl 1272.52037 Am. Math. Mon. 120, No. 2, 140-149 (2013). Reviewer: László A. Székely (Columbia) MSC: 52C10 11R52 52B20 PDF BibTeX XML Cite \textit{S. H. Marshall} and \textit{A. R. Perlis}, Am. Math. Mon. 120, No. 2, 140--149 (2013; Zbl 1272.52037) Full Text: DOI
Kolpakov, Alexander; Mednykh, Alexander; Pashkevich, Marina Volume formula for a \(\mathbb Z_2\)-symmetric spherical tetrahedron through its edge lengths. (English) Zbl 1268.51016 Ark. Mat. 51, No. 1, 99-123 (2013). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51M25 51M10 51M20 PDF BibTeX XML Cite \textit{A. Kolpakov} et al., Ark. Mat. 51, No. 1, 99--123 (2013; Zbl 1268.51016) Full Text: DOI arXiv
Murakami, Jun Volume formulas for a spherical tetrahedron. (English) Zbl 1277.51021 Proc. Am. Math. Soc. 140, No. 9, 3289-3295 (2012). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51M25 52A38 26B15 PDF BibTeX XML Cite \textit{J. Murakami}, Proc. Am. Math. Soc. 140, No. 9, 3289--3295 (2012; Zbl 1277.51021) Full Text: DOI arXiv
Fazekas, Peter; Röschel, Otto A saturated packing of 37 regular tetrahedra. (English) Zbl 1264.52012 Geombinatorics 22, No. 2, 58-62 (2012). Reviewer: Christian Richter (Jena) MSC: 52C17 52C25 53A17 PDF BibTeX XML Cite \textit{P. Fazekas} and \textit{O. Röschel}, Geombinatorics 22, No. 2, 58--62 (2012; Zbl 1264.52012)
Gravel, Simon; Elser, Veit; Kallus, Yoav Upper bound on the packing density of regular tetrahedra and octahedra. (English) Zbl 1268.52015 Discrete Comput. Geom. 46, No. 4, 799-818 (2011). MSC: 52C17 PDF BibTeX XML Cite \textit{S. Gravel} et al., Discrete Comput. Geom. 46, No. 4, 799--818 (2011; Zbl 1268.52015) Full Text: DOI arXiv
Kolpakov, A. A.; Mednykh, A. D.; Pashkevich, M. G. A volume formula for \(\mathbb Z_2\)-symmetric spherical tetrahedra. (English. Russian original) Zbl 1232.52012 Sib. Math. J. 52, No. 3, 456-470 (2011); translation from Sib. Mat. Zh. 52, No. 3, 582-600 (2011). Reviewer: Anna Romanowska (Warsaw) MSC: 52B10 52A38 51M25 51M20 PDF BibTeX XML Cite \textit{A. A. Kolpakov} et al., Sib. Math. J. 52, No. 3, 456--470 (2011; Zbl 1232.52012); translation from Sib. Mat. Zh. 52, No. 3, 582--600 (2011) Full Text: DOI
Strelkova, N. P. Closed locally minimal nets on tetrahedra. (English. Russian original) Zbl 1223.05134 Sb. Math. 202, No. 1, 135-153 (2011); translation from Mat. Sb. 202, No. 1, 141-160 (2011). MSC: 05C35 52B05 51M16 PDF BibTeX XML Cite \textit{N. P. Strelkova}, Sb. Math. 202, No. 1, 135--153 (2011; Zbl 1223.05134); translation from Mat. Sb. 202, No. 1, 141--160 (2011) Full Text: DOI
Olteanu, Marius On some geometric inequalities on the ortocentre of tetrahedra. (Romanian. English summary) Zbl 1325.51021 Gaz. Mat., Ser. A 28(107), No. 1-2, 15-29 (2010). MSC: 51M16 51M20 PDF BibTeX XML Cite \textit{M. Olteanu}, Gaz. Mat., Ser. A 28(107), No. 1--2, 15--29 (2010; Zbl 1325.51021)
Abrosimov, N. V. Seidel’s problem on the volume of a non-Euclidean tetrahedron. (English. Russian original) Zbl 1228.52007 Dokl. Math. 82, No. 3, 843-846 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 7-10 (2010). Reviewer: Agota H. Temesvári (Pécs) MSC: 52B11 51M20 51M25 PDF BibTeX XML Cite \textit{N. V. Abrosimov}, Dokl. Math. 82, No. 3, 843--846 (2010; Zbl 1228.52007); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 7--10 (2010) Full Text: DOI
Srinivasan, V. K. Computation techniques for the volume of a tetrahedron. (English) Zbl 1292.97024 Int. J. Math. Educ. Sci. Technol. 41, No. 7, 979-990 (2010). MSC: 97G30 97G70 97G40 51M20 PDF BibTeX XML Cite \textit{V. K. Srinivasan}, Int. J. Math. Educ. Sci. Technol. 41, No. 7, 979--990 (2010; Zbl 1292.97024) Full Text: DOI
Abrosimov, N. V. Solving the Seidel problem on the volume of hyperbolic tetrahedra. (Russian. English summary) Zbl 1299.51007 Sib. Èlektron. Mat. Izv. 6, 211-218 (2009). MSC: 51M10 51M20 51M25 52A38 PDF BibTeX XML Cite \textit{N. V. Abrosimov}, Sib. Èlektron. Mat. Izv. 6, 211--218 (2009; Zbl 1299.51007) Full Text: Link
Hajja, Mowaffaq The Pons asinorum for tetrahedra. (English) Zbl 1180.51008 J. Geom. 93, No. 1-2, 71-82 (2009). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 52B10 52B15 51F99 PDF BibTeX XML Cite \textit{M. Hajja}, J. Geom. 93, No. 1--2, 71--82 (2009; Zbl 1180.51008) Full Text: DOI
Olteanu, Marius New refinements of Durrande’s inequality for tetrahedra. (Romanian. English summary) Zbl 1367.51027 Gaz. Mat., Rev. Cult. Mat. 26(105), No. 2, 98-108 (2008). MSC: 51M16 51M04 51M20 PDF BibTeX XML Cite \textit{M. Olteanu}, Gaz. Mat., Rev. Cult. Mat. 26(105), No. 2, 98--108 (2008; Zbl 1367.51027)
Labelle, François Sliver removal by lattice refinement. (English) Zbl 1166.65008 Int. J. Comput. Geom. Appl. 18, No. 6, 509-532 (2008). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 PDF BibTeX XML Cite \textit{F. Labelle}, Int. J. Comput. Geom. Appl. 18, No. 6, 509--532 (2008; Zbl 1166.65008) Full Text: DOI
Beck, Matthias; Haase, Christian; Matthews, Asia R. Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra. (English) Zbl 1144.11070 Math. Ann. 341, No. 4, 945-961 (2008). Reviewer: Bertrand Meyer (Talence) MSC: 11P21 11L03 05A15 52C07 PDF BibTeX XML Cite \textit{M. Beck} et al., Math. Ann. 341, No. 4, 945--961 (2008; Zbl 1144.11070) Full Text: DOI arXiv
Yang, Lu; Zeng, Zhenbing Constructing a tetrahedron with prescribed heights and widths. (English) Zbl 1195.51024 Botana, Francisco (ed.) et al., Automated deduction in geometry. 6th international workshop, ADG 2006, Pontevedra, Spain, August 31–September 2, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-77355-9/pbk). Lecture Notes in Computer Science 4869. Lecture Notes in Artificial Intelligence, 203-211 (2007). MSC: 51M20 51K05 68T15 68U05 PDF BibTeX XML Cite \textit{L. Yang} and \textit{Z. Zeng}, Lect. Notes Comput. Sci. 4869, 203--211 (2007; Zbl 1195.51024) Full Text: DOI
Plaza, Angel The eight-tetrahedra longest-edge partition and Kuhn triangulations. (English) Zbl 1138.65022 Comput. Math. Appl. 54, No. 3, 427-433 (2007). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 68U05 PDF BibTeX XML Cite \textit{A. Plaza}, Comput. Math. Appl. 54, No. 3, 427--433 (2007; Zbl 1138.65022) Full Text: DOI
Mednykh, A. D.; Pashkevich, M. G. Elementary formulas for a hyperbolic tetrahedron. (Russian, English) Zbl 1150.51305 Sib. Mat. Zh. 47, No. 4, 831-841 (2006); translation in Sib. Math. J. 47, No. 4, 687-695 (2006). MSC: 51M10 51M25 PDF BibTeX XML Cite \textit{A. D. Mednykh} and \textit{M. G. Pashkevich}, Sib. Mat. Zh. 47, No. 4, 831--841 (2006; Zbl 1150.51305); translation in Sib. Math. J. 47, No. 4, 687--695 (2006) Full Text: EMIS EuDML
Kamiya, Hidehiko; Orlik, Peter; Takemura, Akimichi; Terao, Hiroaki Arrangements and ranking patterns. (English) Zbl 1125.52017 Ann. Comb. 10, No. 2, 219-235 (2006). MSC: 52C35 05A15 PDF BibTeX XML Cite \textit{H. Kamiya} et al., Ann. Comb. 10, No. 2, 219--235 (2006; Zbl 1125.52017) Full Text: DOI
Čučaković, Aleksandar Constructive procedure for transformation of collinear spaces. (English) Zbl 1124.51014 KoG 9, 71-76 (2005). MSC: 51N05 PDF BibTeX XML Cite \textit{A. Čučaković}, KoG 9, 71--76 (2005; Zbl 1124.51014)
Dompierre, J.; Vallet, M.-G.; Labbé, P.; Guibault, F. An analysis of simplex shape measures for anisotropic meshes. (English) Zbl 1093.65015 Comput. Methods Appl. Mech. Eng. 194, No. 48-49, 4895-4914 (2005). MSC: 65D18 PDF BibTeX XML Cite \textit{J. Dompierre} et al., Comput. Methods Appl. Mech. Eng. 194, No. 48--49, 4895--4914 (2005; Zbl 1093.65015) Full Text: DOI
Murakami, Jun; Yano, Masakazu On the volume of a hyberbolic and spherical tetrahedron. (English) Zbl 1084.51009 Commun. Anal. Geom. 13, No. 2, 379-400 (2005). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51M25 51M10 51M20 51-04 52A38 33D80 PDF BibTeX XML Cite \textit{J. Murakami} and \textit{M. Yano}, Commun. Anal. Geom. 13, No. 2, 379--400 (2005; Zbl 1084.51009) Full Text: DOI Euclid
Hurtado, Ferran; Seara, Carlos; Sethia, Saurabh Red-blue separability problems in 3D. (English) Zbl 1067.68160 Int. J. Comput. Geom. Appl. 15, No. 2, 167-192 (2005). MSC: 68U05 52B55 68Q25 PDF BibTeX XML Cite \textit{F. Hurtado} et al., Int. J. Comput. Geom. Appl. 15, No. 2, 167--192 (2005; Zbl 1067.68160) Full Text: DOI
Alfeld, Peter; Schumaker, Larry L. A \(C^2\) trivariate double-Clough-Tocher macro-element. (English) Zbl 1074.65020 Chui, Charles K.(ed.) et al., Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18–22, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-5-8/hbk). Modern Methods in Mathematics, 1-14 (2005). MSC: 65D18 65N30 41A10 PDF BibTeX XML Cite \textit{P. Alfeld} and \textit{L. L. Schumaker}, in: Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18--22, 2004. Brentwood, TN: Nashboro Press. 1--14 (2005; Zbl 1074.65020)
Witczyński, Krzysztof \(n\)-cubes inscribed in simplices. (English) Zbl 1069.51013 J. Geom. 81, No. 1-2, 192-198 (2004). Reviewer: Mowaffaq Hajja (Irbid) MSC: 51M04 51M16 51M20 PDF BibTeX XML Cite \textit{K. Witczyński}, J. Geom. 81, No. 1--2, 192--198 (2004; Zbl 1069.51013) Full Text: DOI
Havlicek, Hans; Weiß, Gunter Altitudes of a tetrahedron and traceless quadratic forms. (English) Zbl 1048.51009 Am. Math. Mon. 110, No. 8, 679-693 (2003). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51M04 51M20 15A63 PDF BibTeX XML Cite \textit{H. Havlicek} and \textit{G. Weiß}, Am. Math. Mon. 110, No. 8, 679--693 (2003; Zbl 1048.51009) Full Text: DOI arXiv
Itenberg, Ilia; Shustin, Eugenii Critical points of real polynomials and topology of real algebraic \(T\)-surfaces. (English) Zbl 1070.14057 Geom. Dedicata 101, 61-91 (2003). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14P25 52B20 57R70 58K05 PDF BibTeX XML Cite \textit{I. Itenberg} and \textit{E. Shustin}, Geom. Dedicata 101, 61--91 (2003; Zbl 1070.14057) Full Text: DOI
Zinani, Alessandro The expected volume of a tetrahedron whose vertices are chosen at random in the interior of a cube. (English) Zbl 1023.60016 Monatsh. Math. 139, No. 4, 341-348 (2003). MSC: 60D05 PDF BibTeX XML Cite \textit{A. Zinani}, Monatsh. Math. 139, No. 4, 341--348 (2003; Zbl 1023.60016) Full Text: DOI
Bern, Marshall; Demaine, Erik D.; Eppstein, David; Kuo, Eric; Mantler, Andrea; Snoeyink, Jack Ununfoldable polyhedra with convex faces. (English) Zbl 1021.52013 Comput. Geom. 24, No. 2, 51-62 (2003). Reviewer: Serguey M.Pokas (Odessa) MSC: 52C45 52B10 PDF BibTeX XML Cite \textit{M. Bern} et al., Comput. Geom. 24, No. 2, 51--62 (2003; Zbl 1021.52013) Full Text: DOI
Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe Circular cylinders through four or five points in space. (English) Zbl 1031.52008 Discrete Comput. Geom. 29, No. 1, 83-104 (2003). Reviewer: Gerd Wegner (Dortmund) MSC: 52C99 68U05 86A10 65D18 51M20 51M04 PDF BibTeX XML Cite \textit{O. Devillers} et al., Discrete Comput. Geom. 29, No. 1, 83--104 (2003; Zbl 1031.52008) Full Text: DOI
Weiss, Gunter; Havlicek, Hans Vertex- and edge-altitudes of a tetrahedron. (Ecken- und Kantenhöhen im Tetraeder.) (German. English summary) Zbl 1086.51506 KoG 6, 71-80 (2002). MSC: 51N05 51N20 51M04 PDF BibTeX XML Cite \textit{G. Weiss} and \textit{H. Havlicek}, KoG 6, 71--80 (2002; Zbl 1086.51506)
Schwartz, Richard Evan Circle quotients and string art. (English) Zbl 1012.52027 Topology 41, No. 3, 495-523 (2002). Reviewer: Milica Stojanovic (Beograd) MSC: 52C15 20F65 05C25 PDF BibTeX XML Cite \textit{R. E. Schwartz}, Topology 41, No. 3, 495--523 (2002; Zbl 1012.52027) Full Text: DOI
Babson, Eric; Gunnells, Paul E.; Scott, Richard A smooth space of tetrahedra. (English) Zbl 1041.51010 Adv. Math. 165, No. 2, 285-312 (2002). Reviewer: J. W. P. Hirschfeld (Falmer) MSC: 51N35 14N10 PDF BibTeX XML Cite \textit{E. Babson} et al., Adv. Math. 165, No. 2, 285--312 (2002; Zbl 1041.51010) Full Text: DOI arXiv
Maehara, Hiroshi On the total edge-length of a tetrahedron. (English) Zbl 1028.51024 Am. Math. Mon. 108, No. 10, 967-969 (2001). Reviewer: Rolf Riesinger (Wien) MSC: 51M16 65D18 PDF BibTeX XML Cite \textit{H. Maehara}, Am. Math. Mon. 108, No. 10, 967--969 (2001; Zbl 1028.51024) Full Text: DOI
Henk, Martin Truncated tetrahedron. (English) Zbl 1159.52313 Electronic Geometry Model No. 2001.02.068, no pag. (2001). MSC: 52C17 11H31 PDF BibTeX XML Full Text: Link
Henk, Martin Tetrahedron. (English) Zbl 1159.52307 Electronic Geometry Model No. 2001.02.061, no pag. (2001). MSC: 52C17 11H31 PDF BibTeX XML Full Text: Link
Buchta, Christian; Reitzner, Matthias The convex hull of random points in a tetrahedron: solution of Blaschke’s problem and more general results. (English) Zbl 0973.52004 J. Reine Angew. Math. 536, 1-29 (2001). Reviewer: C.Buchta (København) MSC: 52A22 60D05 PDF BibTeX XML Cite \textit{C. Buchta} and \textit{M. Reitzner}, J. Reine Angew. Math. 536, 1--29 (2001; Zbl 0973.52004) Full Text: DOI
Shklarskij, D. O.; Chentsov, N. N.; Yaglom, I. M. Selected problems and theorems on elementary mathematics. Geometry. Stereometry. (Izbrannye zadachi i teoremy elementarnoj matematiki. Geometriya. Stereometriya). 2nd ed. (Izbrannye zadachi i teoremy elementarnoj matematiki. Geometriya. Stereometriya.) (Russian) Zbl 0986.51032 Moskva: Fizmatlit. 280 p. (2000). Reviewer: Serguey M.Pokas (Odessa) MSC: 51M04 51M20 51-01 PDF BibTeX XML Cite \textit{D. O. Shklarskij} et al., Izbrannye zadachi i teoremy elementarnoj matematiki. Geometriya. Stereometriya (Russian). 2nd ed. Moskva: Fizmatlit (2000; Zbl 0986.51032)
McMullen, P. Simplices with equiareal faces. (English) Zbl 0958.51024 Discrete Comput. Geom. 24, No. 2-3, 397-411 (2000). Reviewer: Horst Martini (Chemnitz) MSC: 51M20 51M25 52B11 PDF BibTeX XML Cite \textit{P. McMullen}, Discrete Comput. Geom. 24, No. 2--3, 397--411 (2000; Zbl 0958.51024) Full Text: DOI
Cho, Yunhi; Kim, Hyuk On the volume formula for hyperbolic tetrahedra. (English) Zbl 0952.51013 Discrete Comput. Geom. 22, No. 3, 347-366 (1999). Reviewer: H.Havlicek (Wien) MSC: 51M09 51M20 51M25 PDF BibTeX XML Cite \textit{Y. Cho} and \textit{H. Kim}, Discrete Comput. Geom. 22, No. 3, 347--366 (1999; Zbl 0952.51013) Full Text: DOI
Balk, Alexander M.; Balk, Mark B. The enigma of the triangular pyramid. (English) Zbl 0911.51027 J. Geom. 62, No. 1-2, 13-25 (1998). Reviewer: Richard Koch (München) MSC: 51M20 51M16 PDF BibTeX XML Cite \textit{A. M. Balk} and \textit{M. B. Balk}, J. Geom. 62, No. 1--2, 13--25 (1998; Zbl 0911.51027) Full Text: DOI
Zong, Chuanming The kissing numbers of tetrahedra. (English) Zbl 0848.52007 Discrete Comput. Geom. 15, No. 3, 239-252 (1996). Reviewer: J.M.Wills (Siegen) MSC: 52C17 52C07 PDF BibTeX XML Cite \textit{C. Zong}, Discrete Comput. Geom. 15, No. 3, 239--252 (1996; Zbl 0848.52007) Full Text: DOI
Richards, Winston A. The common content of a sphere and a regular tetrahedron having a common centre. (English) Zbl 0891.52004 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 257-266 (1995). Reviewer: Richard Koch (München) MSC: 52A38 PDF BibTeX XML Cite \textit{W. A. Richards}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 257--266 (1995; Zbl 0891.52004) Full Text: DOI
Bezdek, A.; Ódor, T. On the surface area of convex polytopes. (English) Zbl 0854.52003 Stud. Sci. Math. Hung. 30, No. 3-4, 275-281 (1995). Reviewer: R.Dawson (Halifax) MSC: 52A38 52B10 52B11 52A40 PDF BibTeX XML Cite \textit{A. Bezdek} and \textit{T. Ódor}, Stud. Sci. Math. Hung. 30, No. 3--4, 275--281 (1995; Zbl 0854.52003)
Chou, Shang-Ching; Gao, Xiao-Shan; Zhang, Jing-Zhong Automated production of traditional proofs in solid geometry. (English) Zbl 0824.03005 J. Autom. Reasoning 14, No. 2, 257-291 (1995). MSC: 03B35 51M15 51M25 68T15 PDF BibTeX XML Cite \textit{S.-C. Chou} et al., J. Autom. Reasoning 14, No. 2, 257--291 (1995; Zbl 0824.03005) Full Text: DOI
Snoeyink, J.; Stolfi, J. Objects that cannot be taken apart with two hands. (English) Zbl 0813.52004 Discrete Comput. Geom. 12, No. 3, 367-384 (1994). Reviewer: R.Koch (München) MSC: 52A15 51M20 68U05 PDF BibTeX XML Cite \textit{J. Snoeyink} and \textit{J. Stolfi}, Discrete Comput. Geom. 12, No. 3, 367--384 (1994; Zbl 0813.52004) Full Text: DOI EuDML
Mannion, David The volume of a tetrahedron whose vertices are chosen at random in the interior of a parent tetrahedron. (English) Zbl 0803.60013 Adv. Appl. Probab. 26, No. 3, 577-596 (1994). MSC: 60D05 PDF BibTeX XML Cite \textit{D. Mannion}, Adv. Appl. Probab. 26, No. 3, 577--596 (1994; Zbl 0803.60013) Full Text: DOI
Ettaoui, B. On a regular tetrahedron in the complex projective space. (Sur le tétraèdre régulier dans un espace projectif complexe.) (French) Zbl 0812.51014 Geom. Dedicata 50, No. 3, 235-241 (1994). Reviewer: R.Koch (München) MSC: 51M20 51F20 PDF BibTeX XML Cite \textit{B. Ettaoui}, Geom. Dedicata 50, No. 3, 235--241 (1994; Zbl 0812.51014) Full Text: DOI
Vinberg, È. B. Volumes of non-Euclidean polyhedra. (English. Russian original) Zbl 0799.01019 Russ. Math. Surv. 48, No. 2, 15-45 (1993); translation from Usp. Mat. Nauk 48, No. 2(290), 17-46 (1993). Reviewer: C. Cusmir (Iaşi) MSC: 01A55 PDF BibTeX XML Cite \textit{È. B. Vinberg}, Russ. Math. Surv. 48, No. 2, 1 (1993; Zbl 0799.01019); translation from Usp. Mat. Nauk 48, No. 2(290), 17--46 (1993) Full Text: DOI
Morgan, Frank Minimal surfaces, crystals, shortest networks, and undergraduate research. (English) Zbl 0765.52015 Math. Intell. 14, No. 3, 37-44 (1992). Reviewer: J.M.Wills (Siegen) MSC: 52B70 53A10 90B10 82D25 PDF BibTeX XML Cite \textit{F. Morgan}, Math. Intell. 14, No. 3, 37--44 (1992; Zbl 0765.52015) Full Text: DOI
Strantzen, John; Lu, Yang Regular simple geodesic loops on a tetrahedron. (English) Zbl 0754.51008 Geom. Dedicata 42, No. 2, 139-153 (1992). Reviewer: Bernd Wegner (Berlin) MSC: 51M04 51M20 PDF BibTeX XML Cite \textit{J. Strantzen} and \textit{Y. Lu}, Geom. Dedicata 42, No. 2, 139--153 (1992; Zbl 0754.51008) Full Text: DOI
Stehling, Thomas Ammann bars and quasicrystals. (English) Zbl 0748.52014 Discrete Comput. Geom. 7, No. 2, 125-133 (1992). Reviewer: M.Lassak (Bydgoszcz) MSC: 52C22 82D25 PDF BibTeX XML Cite \textit{T. Stehling}, Discrete Comput. Geom. 7, No. 2, 125--133 (1992; Zbl 0748.52014) Full Text: DOI EuDML
Martin, Gaven J. The volume of regular tetrahedra and sphere packing in hyperbolic 3-space. (English) Zbl 0761.52012 Math. Chron. 20, 127-147 (1991). Reviewer: E.Molnár (Budapest) MSC: 52C17 52A38 52B10 51M10 PDF BibTeX XML Cite \textit{G. J. Martin}, Math. Chron. 20, 127--147 (1991; Zbl 0761.52012)
Strobel, Ulrich The cones of rotation through four points. II. (Die Drehkegel durch vier Punkte. II.) (German) Zbl 0763.51010 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 200, No. 1-10, 91-109 (1991). Reviewer: H.Havlicek (Wien) MSC: 51N15 51M05 51N35 PDF BibTeX XML Cite \textit{U. Strobel}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 200, No. 1--10, 91--109 (1991; Zbl 0763.51010)
Cho, Eung Chun Pythagorean theorems on rectangular tetrahedron. (English) Zbl 0751.51008 Appl. Math. Lett. 4, No. 6, 37-38 (1991). Reviewer: H.Schaal (Stuttgart) MSC: 51M04 51M25 PDF BibTeX XML Cite \textit{E. C. Cho}, Appl. Math. Lett. 4, No. 6, 37--38 (1991; Zbl 0751.51008) Full Text: DOI
Vinberg, È. B. The volume of polyhedra on a sphere and in Lobachevsky space. (English) Zbl 0742.51019 Transl., Ser. 2, Am. Math. Soc. 148, 15-27 (1991). Reviewer: C.W.L.Garner (Ottawa) MSC: 51M25 51-02 51M10 51M20 52A55 PDF BibTeX XML Cite \textit{È. B. Vinberg}, Transl., Ser. 2, Am. Math. Soc. 148, 15--27 (1991; Zbl 0742.51019) Full Text: DOI
Rigby, J. F. The edge-lengths of a tetrahedron. (English) Zbl 0739.51015 Facta Univ., Ser. Math. Inf. 5, 85-87 (1990). Reviewer: W.O.Vogel (Karlsruhe) MSC: 51M04 51M16 51M20 PDF BibTeX XML Cite \textit{J. F. Rigby}, Facta Univ., Ser. Math. Inf. 5, 85--87 (1990; Zbl 0739.51015)
Coxeter, H. S. M. Star polytopes and the Schläfli function f(\(\alpha\) ,\(\beta\) ,\(\gamma\) ). (English) Zbl 0711.51009 Elem. Math. 44, No. 2, 25-36 (1989). Reviewer: J.Weinstein MSC: 51M20 51M25 52B11 PDF BibTeX XML Cite \textit{H. S. M. Coxeter}, Elem. Math. 44, No. 2, 25--36 (1989; Zbl 0711.51009) Full Text: EuDML
Adams, Colin C. Volumes of N-cusped hyperbolic 3-manifolds. (English) Zbl 0627.57013 J. Lond. Math. Soc., II. Ser. 38, No. 3, 555-565 (1988). MSC: 57N10 53C20 57S17 51M10 PDF BibTeX XML Cite \textit{C. C. Adams}, J. Lond. Math. Soc., II. Ser. 38, No. 3, 555--565 (1988; Zbl 0627.57013) Full Text: DOI
Satyanarayana, Kesiraju The tetrahedron the feet of whose altitudes are coplanar. (English) Zbl 0718.51015 Math. Stud. 50 (1982), No. 1-4, 275-281 (1987). Reviewer: H.Germer (Berlin) MSC: 51M20 51M25 PDF BibTeX XML Cite \textit{K. Satyanarayana}, Math. Stud. 50, No. 1--4, 275--281 (1987; Zbl 0718.51015)
Molnár, E. Compact Euclidean space forms presented by special tetrahedra. (English) Zbl 0633.53074 Intuitive geometry, Pap. Int. Conf., Siófok/Hung. 1985, Colloq. Math. Soc. János Bolyai 48, 429-457 (1987). Reviewer: E.Schulte MSC: 53C30 51F15 PDF BibTeX XML
Dauenhauer, Mary H.; Zassenhaus, Hans J. Local optimality of the critical lattice sphere-packing of regular tetrahedra. (English) Zbl 0616.52012 Discrete Math. 64, 129-146 (1987). Reviewer: G.Sierksma MSC: 52C17 PDF BibTeX XML Cite \textit{M. H. Dauenhauer} and \textit{H. J. Zassenhaus}, Discrete Math. 64, 129--146 (1987; Zbl 0616.52012) Full Text: DOI
Ai, Yunjun; Liu, Jianggin Rectangular axonometric projection of 4-dimensional space. (Chinese. English summary) Zbl 0597.51017 J. Changsha Railw. Inst. 1986, No. 1, 31-44 (1986). MSC: 51N05 51M05 PDF BibTeX XML Cite \textit{Y. Ai} and \textit{J. Liu}, J. Changsha Railw. Inst. 1986, No. 1, 31--44 (1986; Zbl 0597.51017)
Buchta, Christian A note on the volume of a random polytope in a tetrahedron. (English) Zbl 0585.52001 Ill. J. Math. 30, 653-659 (1986). Reviewer: C. Buchta MSC: 52A22 60D05 PDF BibTeX XML Cite \textit{C. Buchta}, Ill. J. Math. 30, 653--659 (1986; Zbl 0585.52001) Full Text: Euclid
Fritsch, R. Zur Kantenwinkelsumme der regulären Pyramiden. (German) Zbl 0569.52007 Elem. Math. 40, 68-75 (1985). Reviewer: R.Koch MSC: 52Bxx 52A40 51M20 PDF BibTeX XML Cite \textit{R. Fritsch}, Elem. Math. 40, 68--75 (1985; Zbl 0569.52007) Full Text: EuDML
Zhang, Jingzhong; Yang, Lu On Stolarsky’s problem. (English) Zbl 0563.51012 Kexue Tongbao, Foreign Lang. Ed. 30, 1426-1430 (1985). Reviewer: J.H.Tian MSC: 51F99 51K05 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{L. Yang}, Kexue Tongbao, Sci. Bull. 30, 1426--1430 (1985; Zbl 0563.51012)
Térouanne, Eric “Impossible figures” and interpretations of polyhedral figures. (English) Zbl 0542.92029 J. Math. Psychol. 27, 370-405 (1983). Reviewer: J.Hodgson MSC: 91E99 52A99 51A99 68T10 05C99 PDF BibTeX XML Cite \textit{E. Térouanne}, J. Math. Psychol. 27, 370--405 (1983; Zbl 0542.92029) Full Text: DOI
Ignatenko, V. F. Invarianzbedingungen einer kubischen Fläche bezüglich der Symmetriegruppe eines regulären Tetraeders. (Russian) Zbl 0447.51008 Ukr. Geom. Sb. 22, 60-64 (1979). MSC: 51N35 53A05 PDF BibTeX XML Cite \textit{V. F. Ignatenko}, Ukr. Geom. Sb. 22, 60--64 (1979; Zbl 0447.51008)