Perimeters of Polynominoes
If we separate all tetrominoes according to their perimeters, we would have two groups.
Square in Lattice
Consider drawing squares using the lattice points in a grid as vertices.
Flattening Cubes
We want to flatten the outer shell of a cube without tearing or stretching the surface.
Triangle Average Divider
Let’s say instead of “bisecting” the triangle, we draw a line from the top vertex to the base with a length that is the average of the remaining two sides...
Triangle Bisectors
Let’s start with a right triangle with a height of 1 unit and consider two ways of dividing it into two triangles.
Curve Stitching
Starting with a square, choose two points on the perimeter of the square to make a line, and then move both end points incrementally in the same direction (clockwise or counterclockwise) and the same distance along the perimeter of the square to make subsequent lines.
Cross Sections of Polyhedra
Cutting three dimensional shapes and looking at the possible shapes of the cross section.
Polygons in Polygrams
Each regular polygram has a regular polygon at its center.
Halfing 3D Shapes
Cutting 3D shapes parallel to the base such that the top and bottom resulting portions have the same volume.
Apothem of a Regular Polygon
Is this method of constructing a regular polygon an approximation? or theoretically accurate?