Minkowski planes with Miquelian pairs.
Minkowskian rhombi and squares inscribed in convex Jordan curves
We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.
Minkowski-Ebenen mit Spiegelungen.
Miquel Sätze in Minkowski-Ebenen I.
Mirror Property for Nonsingular Mixed Configurations of Lines and Points in R3 .
Mirror symmetry and conformal flatness in general relativity.
Mittelpunktspolyeder im E4.
Möbius gyrovector spaces in quantum information and computation
Hyperbolic vectors, called gyrovectors, share analogies with vectors in Euclidean geometry. It is emphasized that the Bloch vector of Quantum Information and Computation (QIC) is, in fact, a gyrovector related to Möbius addition rather than a vector. The decomplexification of Möbius addition in the complex open unit disc of a complex plane into an equivalent real Möbius addition in the open unit ball of a Euclidean 2-space is presented. This decomplexification proves useful, enabling the resulting...
Möbius transformations and isoclinal sequences of spheres.
Model n-dimenzionog projektivnog prostora
Models for synthetic integration theory.
Models for synthetic supergeometry
Modular circle quotients and PL limit sets.
Modular curves and Poncelet polygons.
Modular lattices from finite projective planes
Using the geometry of the projective plane over the finite field , we construct a Hermitian Lorentzian lattice of dimension defined over a certain number ring that depends on . We show that infinitely many of these lattices are -modular, that is, , where is some prime in such that .The Lorentzian lattices sometimes lead to construction of interesting positive definite lattices. In particular, if is a rational prime such that is norm of some element in , then we find a dimensional...
Modulare Inzidenzstrukturen
Moebius Planes with Locally Euclidean Circles Are Flat.
More classes of stuck unknotted hexagons.
More maximal arcs in Desarguesian projective planes and their geometric structure.
Morley’s Trisector Theorem
Morley’s trisector theorem states that “The points of intersection of the adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle” [10]. There are many proofs of Morley’s trisector theorem [12, 16, 9, 13, 8, 20, 3, 18]. We follow the proof given by A. Letac in [15].