Areas of GeneralizedH-Polygons

On the interior lattice points of convex lattice 11-gon

“…Many problems about the numbers v, b, g and G have been investigated by many authors, see, for example, [1][2][3][4][5][6].…”

H-triangles with 3 interior H-points

“…Let b( ) be the number of the boundary H -points of an H -triangle . In this note we prove that any H -triangle with exactly 3 interior H -points can have 3,4,5,6, 7, 8, 9, 10, 11, 12, 13, 14 or 16 H -points on its boundary.…”

“…On the basis of [1] we show that any H -triangle with exactly 3 interior H -points can have 3,4,5,6,7,8,9,10,11,12,13,14 or 16 H -points on its boundary, and cannot have 15 nor greater than 17 such points. We will use the notion of level of an H -triangle = conv{x, y, z}.…”

“…We will denote this lattice by T , and the point of it by T -point. For the related research see [2][3][4][5][6].…”

Решетчатые Многоугольники С Двумя Внутренними Узлами Решетки

“…Задача определения взаимосвязи между , , , и т.д. весьма интересна и изучалась многими авторами в различных постановках, см., например, [1]- [4]. В данной работе, рассматривается задача, в которой требуется найти все выпуклые решеточные многоугольники с двумя внутренними узлами решетки.…”