Free symmetry games with reflected patterns
A reflection places each part the same distance on the other side of a mirror line. Symmetry Workshop has twelve original pattern challenges for each of three mirror lines: 36 challenges in all. Complete a given pattern on a six-by-six grid, or use the saved drawing mode to explore how reflections work. There is no timer, automatic sound, limit on attempts or account requirement.
Reflect across a vertical mirror
The given half is on the left; fill matching squares on the right. Row positions stay the same, while columns are reversed. On the six-column grid, column 1 matches column 6, column 2 matches column 5, and column 3 matches column 4. A filled square one step from the line needs a filled partner one step away on the other side. Empty squares must match too.
Horizontal and diagonal reflections
With the horizontal mirror, the given half is at the top. Reflect it below: row 1 matches row 6, row 2 matches row 5, and row 3 matches row 4. Column positions stay the same. Changing the mirror’s direction changes where the reflected part belongs; copying the top half straight down would not reverse its distance from the line.
The diagonal mirror runs from the top-left corner to the bottom-right corner. The given part is above it and your editable part is below it. Row and column positions swap: row 2, column 5 reflects to row 5, column 2. Squares on the line match themselves and are already given. The game does not include the opposite diagonal, movable mirrors or rotational symmetry.
Complete any of the twelve patterns
Choose a mirror line and any named pattern. Completed and unfinished patterns remain available; there is no locked level order. Continue collection chooses the first pattern not yet completed. Tap an editable square to fill it, and tap again to clear it. Given squares stay fixed. Filled squares use the same colour on both sides, so position determines the match.
Check my reflection checks filled and empty positions. If something needs changing, the game reports how many filled squares need adding and how many need clearing. It keeps your work in place. Show reflection reveals the expected filled positions with dashed inner squares; you still fill them yourself and check. Help use is recorded for that pattern.
A correct pattern stays visible until you choose Next unfinished pattern or another collection. All twelve completed patterns in one mirror collection earn its sticker, giving three collection stickers in total. Stickers recognise completed practice, including practice with help, rather than independent mastery. Practising a completed pattern again keeps its completion record and any sticker already saved.
Draw your own symmetrical pattern
Choose Draw your own reflection. You can fill or clear any square; its partner changes with it. A diagonal square on the mirror line changes once because it is its own partner. Each of the three mirror directions has its own saved canvas. Switching directions opens that direction’s canvas, without reinterpreting or replacing another drawing.
Undo last edit restores up to 24 recent changes, including a cleared canvas. Clear canvas can therefore be undone. Free drawing has no required answer and does not award a completion sticker. Try a pattern that touches the mirror line, one that stays away from it, or a single square near a corner and compare its partner.
Saved progress, replay and rewards
Partial patterns, completed-pattern records, help use, drawings and undo history save in this browser on this device when local storage is available. Reopen the same mirror line and pattern to continue. A different browser or cleared storage starts fresh. Unfinished restart asks before replacing a pattern; Clear my half can be undone without restarting.
Progress and sticker saving are checked separately. If saving fails, the game stays playable and explains that leaving or refreshing may lose work. A collection’s saved-sticker message requires its matching sticker to be read back; otherwise completion asks you to check the sticker book. No classroom account or cloud-synchronisation claim is required to play.
Phone, tablet and keyboard controls
No dragging is required. In a puzzle, Tab enters your editable part of the board; arrow keys move between its squares. Enter or Space fills or clears the focused square. Given squares are fixed and described by row, column and filled state. In drawing mode, every square is editable. Holding an activation key does not rapidly toggle squares or skip patterns. All editing controls remain available beneath the board on a phone.
For names, sides, corners and property sorting, try Shape Detective. For positions and equal steps, try Number Line Workshop. Explore equal-sized parts in Fraction Workshop.