1. Expand in a two-object universe (the objects are named 'a' and 'b') (a) (Ex) ((Ax Bd) = Dy) (b)(x) (Ax & Cz) ~ (c) (x)-(Dy (Hx & -Ga)) Expanding a wff is not the same as reducing the wff to conjunctive normal form (or reducing it to disjunctive norma form). Read the text and my handout on how to do an expansion.

Please see the snip for the detail.   Note: The polygon have to rotate clockwise in same also counterclock wise have to rotate: here is my code it have issue it only rotate to clockwise but in same time have to rotate to the counterclockwise too but it not plesase fix it or write from new. my code: import turtle as t import math class CenteredPolygon:     def __init__(self, n, size, center=(0, 0), pen=None, **kwargs):         self.numsides = n         self.size = size         self.center = center         self.corners = []         self.pen = pen if pen is not None else self.init_pen(**kwargs)         self.draw()     def init_pen(self, **kwargs):         pen = t.Turtle()         for key, value in kwargs.items():             try:                 f = getattr(pen, key)                 f(value)             except Exception as e:                 print(e)         return pen     def set_corners(self) -> list:         p = self.pen         p.pu()         p.goto(self.center)         for i…

THIS NEEDS TO BE DONE IN C#!! The Tourtise and The Hair In this lab, we will be simulating the classic race of the tourtise and the hare. The race will take place on two paths of 70 tiles, which spans from left to right. The path will have two lanes, one for each animal. The path will be represented as an array of 70 characters, where each character will be the following: · A dash(i.e, “-“), which represents an empty tile. · An “h”, which represents the hare on the hare lane. · A “t”, which represents the tourtise on the tortise lane. All tiles will be “empty” (i.e. set to the dash) with the exception of the tiles that are occupied by the animals. As the animals move, the previous tile the animal was on will be set to empty, and the new tile will be changed to either “h” or “t”. Tile 70 will be the finishing tile, and the first animal to that tile will be declared the winner of the race. We will use randomization to determine how far each animal will move. Since this race will be…

Build a polyhedron that looks roughly like the Washington monument. Some key dimensions of the Washington Monument: o The width of the base is about 55 feet.o The width of each side at the top is about 34 feet.o The height of the small pyramid (pyramidion) at the top of the monument is 55 feet. o The height of the whole monument is 555 feet. This should help you get something that looks approximately like the Washington monument. Exactness is not necessary, and indeed, you should make your code appropriately parameterized.Some additional requirements. Your polyhedron will have 8 sides (four for the pyramidion and four for the tower). You should not have a base. The origin of the monument should be at the center of the base, directly below the peak. Each side should be a different color, so that all the edges are plainly visible. o Use a variety of different ways of specifying the colors (e.g. THREE.ColorKeywords, hexidecimal notation, CSS string, RGB) o Use RGB color at least…