Hi Please can someone help me with this page of my homework.

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2- Dimensional Lattices 1. On blank paper, use the templates provided to draw geometric arrays where the various shapes are tiles. (As an example, an array using squares is shown below. Create arrays using equilateral triangles, squares, rectangles pentago hexagons and octagons. Shade any area not covered by tiling. Is it possible to tile all two-dimensional space with each of the following shapes (yeso)? equilateral triangles pentagons squares rectangles. 2. Would any of the other shapes net listed abons paper but you do not have to draw the array, above but on the template tile all of the space? Is so, add the shape to your 3. A lattice is defined by a colloction of point just add the shape. and b, which for a unit eell which monts connected by lattice vectors, In 2 dimensions there are 2 lattice vectors a a 2-D lattice for each of the shapes from be a parallelogram, as well as an angle, , between the a and b vectors. To generate a and b and shade in the unit cell. 4. Based on your responses to 13, how many 2D lattices are above. Use your sketches to complete the table below