hexagon and octagon constructors

-- The Hexagon code is still a little quirky when smaller than side length 10, but hey, it works
-- I copy and pasted the movement functions from shape.lua so integrating should be a snap :)
-- I am pretty happy I did this all in a day! I didn't include this in my local shape.lua and send a pull request
-- I will do that in the morning unless you have put it into yours already
-- Please note that round() is necessary to resolve irrational decimals to the minecraft block grid in both shapes

function round(num, idp)
  local mult = 10^(idp or 0)
  return math.floor(num * mult + 0.5) / mult
end

function hexagon(sideLength)
    local changex = sideLength / 2
    local changey = round(math.sqrt(3) * changex, 0)
    changex = round(changex, 0)
    local counter = 0

    navigateTo(changex, 0)

    for currentSide = 1, 6 do
        counter = 0

        if currentSide == 1 then
            for placed = 1, sideLength do
                navigateTo(positionx + 1, positiony)
                placeBlock()
            end
        elseif currentSide == 2 then
            navigateTo(positionx, positiony + 1)
            while positiony <= changey do
                if counter == 0 or counter == 2 or counter == 4 then
                    navigateTo(positionx + 1, positiony)
                end
                placeBlock()
                navigateTo(positionx, positiony + 1)
                counter = counter + 1
                if counter == 5 then
                    counter = 0
                end
            end
        elseif currentSide == 3 then
            while positiony <= (2 * changey) do
                if counter == 0 or counter == 2 or counter == 4 then
                    navigateTo(positionx - 1, positiony)
                end
                placeBlock()
                navigateTo(positionx, positiony + 1)
                counter = counter + 1
                if counter == 5 then
                    counter = 0
                end
            end
        elseif currentSide == 4 then
            for placed = 1, sideLength do
                navigateTo(positionx - 1, positiony)
                placeBlock()
            end
        elseif currentSide == 5 then
        navigateTo(positionx, positiony - 1)
            while positiony >= changey do
                if counter == 0 or counter == 2 or counter == 4 then
                    navigateTo(positionx - 1, positiony)
                end
                placeBlock()
                navigateTo(positionx, positiony - 1)
                counter = counter + 1
                if counter == 5 then
                    counter = 0
                end
            end
        elseif currentSide == 6 then
            while positiony >= 0 do
                if counter == 0 or counter == 2 or counter == 4 then
                    navigateTo(positionx + 1, positiony)
                end
                placeBlock()
                navigateTo(positionx, positiony - 1)
                counter = counter + 1
                if counter == 5 then
                    counter = 0
                end
            end
        end
    end

    navigateTo(0, 0)
    while facing ~= 0 do
        turnLeftTrack()
    end
end

function octagon(sideLength)
    local sideLength2 = sideLength - 1
    local change = round(sideLength2 / math.sqrt(2), 0)

    navigateTo(change, 0)

    for currentSide = 1, 8 do
        if currentSide == 1 then
            for placed = 1, sideLength2 do
                navigateTo(positionx + 1, positiony)
                placeBlock()
            end
        elseif currentSide == 2 then
            for placed = 1, change do
                navigateTo(positionx + 1, positiony + 1)
                placeBlock()
            end
        elseif currentSide == 3 then
            for placed = 1, sideLength2 do
                navigateTo(positionx, positiony + 1)
                placeBlock()
            end
        elseif currentSide == 4 then
            for placed = 1, change do
                navigateTo(positionx - 1, positiony + 1)
                placeBlock()
            end
        elseif currentSide == 5 then
            for placed = 1, sideLength2 do
                navigateTo(positionx - 1, positiony)
                placeBlock()
            end
        elseif currentSide == 6 then
            for placed = 1, change do
                navigateTo(positionx - 1, positiony - 1)
                placeBlock()
            end
        elseif currentSide == 7 then
        for placed = 1, sideLength2 do
                navigateTo(positionx, positiony - 1)
                placeBlock()
            end
        elseif currentSide == 8 then
            for placed = 1, change do
                navigateTo(positionx + 1, positiony - 1)
                placeBlock()
            end
        end
    end

    navigateTo(0, 0)
    while facing ~= 0 do
    turnLeftTrack()
    end
end

function hexPrism(sideLength, height)
    for z = 1, height do
        hexagon(sideLength)
        safeUp()
    end
end

function octPrism(sideLength, height)
    for z = 1, height do
        octagon(sideLength)
        safeUp()
    end
end