5 citations · 6 across the 7 of their papers we have counts for
9 papers
Triads of Conics Associated with a Triangle
Ronaldo Garcia, Liliana Gheorghe, Peter Moses +1
We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we ana…
A Web of Confocal Parabolas in a Grid of Hexagons
Peter Moses, Dan Reznik
If one erects regular hexagons upon the sides of a triangle , several surprising properties emerge, including: (i) the triangles which flank said hexagons have an isodynamic poi…
Cramer-Castillon on a Triangle's Incircle and Excircles
Dominique Laurain, Peter Moses, Dan Reznik
The Cramer-Castillon problem (CCP) consists in finding one or more polygons inscribed in a circle such that their sides pass cyclically through a list of points. We study this…
Constellations of primes generated by twin primes
Vladimir Shevelev, Peter J. C. Moses
We study a special set of constellations of primes generated by twin primes.
On intervals (kn,(k+1)n) containing a prime for all n>1
Vladimir Shevelev, Charles R. Greathouse, Peter J. C. Moses
We study values of k for which the interval (kn,(k+1)n) contains a prime for every n>1. We prove that the list of such integers k includes k=1,2,3,5,9,14, and no others, at least f…
A family of digit functions with large periods
Vladimir Shevelev, Peter J. C. Moses
For odd n>=3, we consider a general hypothetical identity for the differences S_{n,0}(x) of multiples of n with even and odd digit sums in the base n-1 in interval [0,x), which we…