diff --git a/jssrc/soft_keyboard.js b/jssrc/soft_keyboard.js
index 4058379..7a22183 100644
--- a/jssrc/soft_keyboard.js
+++ b/jssrc/soft_keyboard.js
@@ -7,7 +7,7 @@ window.initSoftKeyboard = function (screen) {
   let updateInputPosition = function () {
     if (!keyboardOpen) return
 
-    let [x, y] = screen.gridToScreen(screen.cursor.x, screen.cursor.y)
+    let [x, y] = screen.gridToScreen(screen.cursor.x, screen.cursor.y, true)
     input.style.transform = `translate(${x}px, ${y}px)`
   }
 
diff --git a/jssrc/term_screen.js b/jssrc/term_screen.js
index c798e4a..bef3f4b 100644
--- a/jssrc/term_screen.js
+++ b/jssrc/term_screen.js
@@ -108,6 +108,9 @@ window.TermScreen = class TermScreen {
       graphics: 0
     }
 
+    // scaling caused by fitIntoWidth/fitIntoHeight
+    this._windowScale = 1
+
     // properties of this.window that require updating size and redrawing
     this.windowState = {
       width: 0,
@@ -562,6 +565,9 @@ window.TermScreen = class TermScreen {
         realHeight = fitIntoHeight
       }
 
+      // store new window scale
+      this._windowScale = realWidth / (width * cellSize.width)
+
       this.canvas.width = width * devicePixelRatio * cellSize.width
       this.canvas.style.width = `${realWidth}px`
       this.canvas.height = height * devicePixelRatio * cellSize.height
@@ -710,12 +716,13 @@ window.TermScreen = class TermScreen {
    * Converts grid coordinates to screen coordinates.
    * @param {number} x - x in cells
    * @param {number} y - y in cells
+   * @param {boolean} [withScale] - when true, will apply window scale
    * @returns {number[]} a tuple of (x, y) in pixels
    */
-  gridToScreen (x, y) {
+  gridToScreen (x, y, withScale = false) {
     let cellSize = this.getCellSize()
 
-    return [x * cellSize.width, y * cellSize.height]
+    return [x * cellSize.width, y * cellSize.height].map(v => withScale ? v * this._windowScale : v)
   }
 
   /**
diff --git a/sass/pages/_term.scss b/sass/pages/_term.scss
index c53298f..5136ff2 100755
--- a/sass/pages/_term.scss
+++ b/sass/pages/_term.scss
@@ -49,6 +49,10 @@ body.term {
 		caret-color: transparent;
 		color: transparent;
 		@include click-through;
+
+		// iOS Safari still shows a caret regardless of the above, so set the font
+		// size as small as it can be (will show up as a blinking blue pixel)
+		font-size: 1px;
 	}
 
 	#touch-select-menu {