Hiding the face in an invisibility script?

I made a KeyDown script that toggles invisibility for a character. Everything works fine, except I'm struggling to hide the player's face so it's not just floating around in mid-air. Any suggestions on how I would do that?

player = game.Players.LocalPlayer
mouse = player:GetMouse()
repeat wait() until player.Character
char = player.Character
faic = char.Head.face
char.Humanoid.DisplayDistanceType = "Viewer"
debounce = false
invisible = false

function invisibility()
    for x = 0, 2*math.pi, .1*math.pi do

        local waveform = 1/2-(math.cos(x/2)/2)

        for _, v in pairs(char:GetChildren()) do
            if v:IsA("BasePart") and v.Name ~= "HumanoidRootPart" then v.Transparency = waveform
            elseif v:IsA("Hat") and v.Handle then v.Handle.Transparency = waveform end
        end

        wait()
    end

    char.Humanoid.HealthDisplayDistance = 0
    char.Humanoid.NameDisplayDistance = 0
    invisible = true
end

function visibility()
    char.Humanoid.HealthDisplayDistance = 100
    char.Humanoid.NameDisplayDistance = 100

    for x = 2*math.pi, 4*math.pi, .1*math.pi do

        local waveform = 1/2-(math.cos(x/2)/2)

        for _, v in pairs(char:GetChildren()) do
            if v:IsA("BasePart") and v.Name ~= "HumanoidRootPart" then v.Transparency = waveform
            elseif v:IsA("Hat") and v.Handle then v.Handle.Transparency = waveform end
        end

        wait()
    end

    invisible = false
end

function onKeyDown(key)
    if key == "x" then
        if debounce == false then
            debounce = true

            if invisible == false then invisibility()
            elseif invisible == true then visibility() end

            debounce = false
        end
    end
end

mouse.KeyDown:connect(onKeyDown)