Quotes by Sophia Thompson

• Life is a book with chapters of joy and tears, but turning the page is how we grow.
• Your story is unique and only you can write the next chapter; embrace the pen and be the author of your own destiny.
• Life is a canvas, paint it with your passions and brush away the doubts.
• Embrace the beauty of your own uniqueness, for in a world that follows trends, originality is your greatest asset.
• Embrace the unknown, for within its depths lie the endless possibilities of growth and transformation.
• To find beauty in the chaos of life is to discover the true essence of existence.
• Life is a dance created by our own footprints on the endless rhythm of time.
• Success is not only about reaching the destination, but also about enjoying the journey along the way.
• Life is a blank canvas, it's up to you to paint your masterpiece.
• Embrace the challenges in life, for they are the stepping stones towards greatness.
• Embrace the beauty of your own uniqueness, for it is your greatest superpower.
• Every obstacle is an opportunity in disguise, waiting to show you how strong and capable you truly are.
• Bloom where you are planted and watch the world grow alongside you.
• Sometimes the biggest things in life come from focusing on the smallest details.
• Remember, diamonds are made under pressure, and so are you.
• Embrace the beauty of change, for it is the only constant in life.
• Embrace the chaos, for within it lies possibility.
• Success is not measured by the height one has reached, but by the obstacles they have overcome on the way up.
• Adventure is lurking around every corner waiting for us to embrace it with an open heart and a curious mind.
• Embrace the unknown, for it is where great adventures and discoveries await.
• Embrace the chaos of life and watch beauty arise from the rubble.
• Dare to dream beyond the limitations of your reality.
• Life is a canvas of endless possibilities, paint boldly and embrace the beauty of your creation.
• Sometimes the strongest oak grew from the smallest acorn.
• Dare to dream beyond the ordinary; greatness awaits those who dare to step outside their comfort zone.
• Life is a canvas, paint bold and vibrant strokes, for the masterpiece is not in perfection but in expression.
• In a world full of noise, sometimes the most powerful thing we can do is listen.
• Embrace the unknown with curiosity, for within the uncertainties lies the realm of endless possibilities.
• Let your unique light shine through the darkness, illuminating the path for others to follow.
• Life is a canvas, choose your colors wisely, for the masterpiece is yours to create.
• Never underestimate the power of a positive mindset, it can transform the ordinary into extraordinary.
• Embrace the jagged edges within you, for they are a part of what makes you uniquely beautiful.
• Embrace the uncertain, for it is where growth thrives and innovation ignites.
• Your potential is endless, embrace the journey and shine bright.
• Sometimes the key to success is not in finding the right door, but in learning to open any door that presents itself.
• The only way to truly succeed is to embrace failure as an essential stepping stone on the path to greatness.
• Embrace the uncertainty of today for it will lead you closer to fulfillment tomorrow.
• The key to success is perseverance through hardships, for every obstacle is a stepping stone towards greatness.
• Success is sweeter when achieved through persistence and passion.
• Do not underestimate the power of a kind gesture, for it holds the potential to change someone's entire day.
• In the dance of life, make sure you lead with your heart and follow your intuition.
• Life is a blank canvas; it is up to us to paint a masterpiece.
• Believe in the power of small steps, for they will lead you to giant leaps.
• Life is a canvas painted with the colors of our experiences.
• True strength is not in tearing others down, but in lifting them up.
• Let your light shine bright enough to awaken the hearts of others.
• Success is not defined by the destination, but rather the journey taken to get there.
• Courage doesn't come from the absence of fear, but from confronting it head-on.
• Embrace the things that make you unique, for it is within them that you will find your true purpose.
• Believe in the magic of second chances, for they have the power to transform lives.
• Success is not about being the best. It's about being better than you were yesterday.
• Believe in the magic of new beginnings, for every start holds endless possibilities.
• In a world full of photocopies, be an original masterpiece.
• Do not fear the storm, for it is in the chaos that we find our strength
• Success is not defined by how fast you move, but by how far you go
• Embrace the unknown and watch your world expand.
• Stars may be far, but their light shines bright even when we're apart.
• Remember, the strongest weapon is always compassion, wield it wisely.
• A wise man learns from his mistakes, but a wiser man learns from the mistakes of others
• Success is not a destination, it is a never-ending journey of growth and challenges.
• In a world full of noise, find your own melody and dance to the rhythm of your soul.
• True strength lies in vulnerability, as it takes courage to show one's true self.
• Adversity is like a strong wind. It may knock us down but it ultimately makes us stronger and more resilient.
• Embrace the chaos of life and watch as the pieces fall perfectly into place.
• Every challenge is an opportunity to discover your inner strength and resilience.
• Embrace the unknown with open arms, for he who dares to explore new paths shall uncover the greatest treasures of life.
• Love is the universal language that unites all hearts.
• Where there is love, there is no room for fear
• Life isn't about waiting for the storms to pass, it's about learning to dance in the rain.
• Empathy is a language that can heal broken hearts and unite divided souls.
• Success is not defined by the distance traveled, but by the journey embraced.
• A river cuts through rock, not because of sheer force, but because of persistence and resilience.
• Your potential is limitless, dare to explore it.
• True wealth is measured by the depth of one's gratitude rather than the value of one's possessions.
• We are the architects of our own destiny, crafting our future one decision at a time.
• Embrace the unknown, as that is where endless possibilities lie in wait.
• Do what you love and let passion be your compass.
• In the maze of life, remember to dance through the obstacles with unwavering grace.
• In the dance of life, let courage lead the way and love be your rhythm.
• Don't seek perfection, seek progress, for growth lies not in achieved standards but in continuous improvement.
• No dream is too big, no challenge too great, each step forward is a triumph in itself.
• Success is not about getting everything right, but learning from the times you've gotten things wrong.
• Embrace the uncertainties of life, for they are what make our story worth telling
• The beauty of life lies in the art of finding joy in the smallest of moments.
• Embrace the uncertainty of life, for in its chaos lies opportunity and growth.
• Embrace the unknown, for it carries the promise of endless possibilities.
• When faced with darkness, ignite your own light.
• Success is not the destination but the journey of pushing past limits and striving for greatness.
• Chase your dreams with the determination of a lion and the grace of a butterfly.
• Success is not measured by how far you climb, but by how many lives you touch along the way.
• Success is not determined by your abilities but by your determination to never give up.
• Every challenge is an opportunity in disguise, waiting to be uncovered
• In the midst of chaos, there lies an opportunity for growth.
• Success is not about climbing the ladder of wealth, but about the impact you make along the way.
• Only when we embrace change do we truly begin to grow and evolve.
• Life's greatest lessons are often found in the unexpected adventures along the way.
• Do not fear failure, for in it lies the opportunity for growth and success.
• Every failure is a stepping stone to success, embrace it with courage
• Sparks fly when passion meets purpose.
• Success is not defined by the goals you achieve, but by the hardships you overcome along the way.
• Success is not about the destination, but the journey filled with passion, determination, and growth.
• Find beauty in the flaws of life, for they give depth to our story.
• Opportunity may knock only once, but talent will always knock the doors down.
• In the pursuit of knowledge, the only limitations are the ones we place on ourselves.
• Challenges are what make life exciting; overcoming them is what makes life meaningful.
• We are not born to fit in, but to stand out.
• Success is built on the bricks of hard work and skill, not on the clouds of wishful thinking.
• Our imperfections make us unique works of art, each with a story only we can tell.
• In the journey of life, embrace uncertainty as the canvas for endless possibilities
• Do not be afraid to take that leap of faith, for in the end, it may just be the best decision you ever make.
• Embrace the challenges that come your way; they are the stepping stones to greatness.
• Life is a canvas, and we are the artists painting our own masterpiece with love, passion, and resilience.
• Strength comes not from winning, but from overcoming struggles with grace and determination.
• Every storm brings a new beginning, so learn to dance in the rain.
• Life's greatest struggles often give birth to our strongest triumphs.
• Remember, the greatest stories come from turning pain into power.
• Happiness is the secret ingredient to life's recipe of success.
• Let your passion be your compass in navigating through life's unknown waters.
• Dreams are the whispers of the soul urging us to chase our wildest ambitions.
• The chain of guesswork breaks when curiosity gives way to truth, creating a path lit by knowledge.
• Don't seek validation from others, find your worth within yourself.
• Life is a canvas waiting for your bold strokes to create a masterpiece.
• Your potential is limitless, let your actions speak louder than doubts.
• Do not fear taking small steps, as they will eventually lead you to great journeys.
• Chase your dreams with the ferocity of a lion, and watch as the universe conspires to turn them into reality
• In life, just like in art, the most beautiful creations come from embracing imperfections.
• In the world of chaos, find clarity within yourself.
• You were born to stand out, not to blend in.
• Failure is not the end, it's an opportunity to begin again more wisely.
• Character is not created in comfort, but in challenges
• Confidence is the fuel that drives dreams into reality.
• Do not be afraid to rewrite your own story and redefine your destiny.
• The phoenix rises from the ashes, stronger and more beautiful than before.
• Dreams are the roadmap to your destiny, follow them boldly.
• Embrace the journey of growth, for true strength comes from navigating through challenges.
• Cherish the present moment, for it holds the gift of endless possibilities.
• Success isn't just about reaching the top of the mountain, but embracing the lessons learned during the climb.
• Strength is not always about being the strongest; it's about overcoming obstacles with determination and hope.
• Walk in the direction of your dreams, even if the path is covered in thorns.
• Never underestimate the power of a kind word or gesture; it can warm the coldest hearts and mend the deepest wounds.
• Embrace the uncertainties of today, for they hold the keys to tomorrow's possibilities.
• The energy you put into the world will eventually come back to you, so radiate positivity and kindness wherever you go.
• Embrace change with an open heart and a curious mind, for every experience shapes your story.
• Adversity is the seed of growth; embrace challenges as stepping stones to success
• Life is a canvas, make sure to paint your dreams with bold and bright colors.
• When faced with a challenge, don't shy away from it, embrace it as an opportunity for growth.
• Embrace the challenge, it is the fuel for growth and creativity.
• The pen may be mightier than the sword, but only when wielded with courage.
• The obstacles in life are the stepping stones to success.
• Challenge is the pathway to growth.
• Strength is not defined by how much weight you can lift, but by how you carry the burdens you bear.
• Believe in the magic within you, for that is where true miracles happen.
• Imagination is the fuel that powers creativity towards boundless horizons.
• Success is not just found in achievements, but in the obstacles we overcome to attain them.
• Hope is the anchor that holds us steady during life's storms.
• Music is the medicine of the mind, the gateway to emotions, and the language of the soul.
• Embrace the unknown, for it holds the potential for greatness beyond your wildest dreams.
• Find strength in the fact that not all storms come to disrupt, some come to clear your path.
• Embrace the unpredictable journey of life, for within the unexpected lies new opportunities.
• Cherish every moment, for time is fleeting and memories are everlasting
• Discovering your true self is like stumbling upon a hidden treasure hidden within your own heart.
• The universe reveals its mysteries to those with an open heart and curious mind
• Embrace the unknown, for it is in our journey through uncertainty that we discover our inner strength.
• Success is not determined by how many obstacles you face, but by how resilient you are in overcoming them.
• Never stop chasing sunsets, for they remind us that endings can be just as beautiful as beginnings.
• The only way to define possibility is by testing the boundaries.
• The winds of change may blow fiercely, but they only serve to steer us towards new beginnings.
• Our differences make us unique, but our willingness to embrace them unites us
• Life is the ultimate masterpiece, each moment a brushstroke in the painting of your legacy.
• Don't be afraid to embrace the unknown, for within it lies the greatest opportunities for growth.
• Embrace the chaos, for within it lies the raw beauty of life waiting to be discovered.
• Success is not defined by the achievements of others, but by the determination of one's own journey.
• Life is a canvas, and our actions are the brushstrokes that define who we are.
• In the dance of life, let your heart lead the way and your feet will follow
• Embrace the unknown; for in it lies the opportunity for growth and discovery.
• Let dreams be the fuel for your journey to success.
• Find strength in your struggles, for they shape you into the person you are meant to become.
• The greatest discoveries often lie beyond the boundaries of comfort zones.
• Seek challenges beyond the horizon to discover the depth of your potential.
• Adversity is the canvas on which we paint our greatest strengths.
• Success is not defined by perfection, but by the courage to take the first step.
• Find your purpose like a compass in the storm, leading you to greater heights.
• Embrace challenges as stepping stones to greatness, not obstacles to your success.
• Success is not limited to the finish line; it is found in the journey towards it.
• When failure knocks on the door, answer with resilience and determination.
• Bring light to darkness, for in the shadows lie our most profound truths.
• The strongest warriors are often the quietest ones
• Every adversity is an opportunity in disguise, waiting for you to uncover its hidden potential.
• Do not be afraid of the unknown, for therein lies the beauty of discovery.
• Life is a journey, not a race; appreciate every moment along the way.
• The only limits that exist are the ones we create in our mind.
• Success is not a destination, but a journey towards greater purpose.
• The only way to find true fulfillment is to embrace change with open arms.
• Nourish your mind with positivity, feed your soul with kindness, and let your heart beat with love.
• Embrace the uncertainties, for within them lies the magic of endless possibilities.
• Wisdom is the light that guides us through life's darkest paths.
• When life gives you lemons, make a gin and tonic and keep dancing.
• Life's challenges are not meant to break you, but to mold you into who you are destined to become.
• Unleash your inner fire and watch your passion illuminate the path to greatness.
• Effort is the staircase to success, but determination is the key to unlocking the door.
• The greatest adventure is what lies ahead, embrace uncertainty with excitement in your heart.
• Life is a beautiful adventure, embrace every unexpected twist with courage and an open heart.
• Do not be led by your fears, instead let your passion guide you towards greatness.
• Embrace the chaos, for it is within the messiness of life that we find our true journey.
• Don't be afraid to take the road less traveled, for that is often where the most beautiful discoveries are made.
• Embrace the chaos of life, for only through adversity do we truly grow.
• Embrace the opportunity in every challenge, for it is in the struggle that we find our strength.
• Life is a canvas, paint yourself a beautiful story.
• Embrace the journey of growth, for there is no destination without evolution.
• Adversity is the seed of strength that blooms into resilience.
• Do not be afraid to take risks, for it is often in the face of fear that we find our greatest triumphs.
• In the dance of life, embrace the unknown steps with confidence and curiosity.
• Success is not defined by the destination, but by the journey of growth and self-discovery along the way
• Do not be afraid of the unknown, for it holds the potential for infinite possibilities.
• The sky's the limit when your dreams outweigh your doubts.
• In the midst of chaos, lies an opportunity for growth; embrace the unexpected.
• Believe in the beauty of your dreams and go chase them fearlessly.
• Let your uniqueness shine and sparkle in a world full of ordinary stones.
• The road to success is never a straight line; embrace the detours and hurdles along the way as they shape your unique journey.
• Do not be a spectator in the game of life, be an active player making every moment count.
• Embrace the chaos of creativity, for it is often in our messiest moments that true brilliance is found.
• Dreams turn into reality with passion as the engine of progress.
• Chase your dreams with passion, your fears with determination, and your doubts with conviction.
• In the journey of life, resilience is the compass that leads us through the darkness and into the light.
• Embrace the unknown, for it is the birthplace of greatness.
• Every obstacle is an opportunity in disguise, waiting to unlock your full potential.
• Facing adversity with grace is a testament of true strength.
• Success is not measured by the smoothness of the road, but by the strength of the traveler's strides.
• Embrace the challenges that shape your resilience, for they are the stepping stones to greatness.
• Happiness blooms from within, watered by positivity and nurtured by gratitude.
• Success isn't just about accomplishments, it's also about finding joy in the journey.
• A ray of light can illuminate even the darkest path.
• Creativity is the spark that ignites possibilities in the darkness.
• Embrace challenges as opportunities for growth rather than obstacles to your success.
• Embrace your uniqueness and watch how quickly the world falls in love with the real you.
• Imagination is more powerful than fear, for it can create worlds beyond our wildest dreams.
• The only way to succeed is to embrace failure as a stepping stone to greatness.
• Believe in your potential to create magic, for within you lies the power to turn dreams into reality.
• Believe in the power of kindness; it can light up the darkest of days.
• The greatest adventure is what lies ahead, embrace every step with an open heart and curious mind.
• Embrace uncertainty, for from it flows innovation and growth.
• Success is not measured by how high you climb but by how many hearts you lift along the way.
• Believe in outrageously big dreams - they are the blueprint for greatness.
• Embrace the unknown, for within uncertainty lies limitless possibilities.
• When the world feels heavy, remember that you always carry within you the strength to rise.
• Life is a beautiful dance between chaos and order, find joy in finding balance within the movements.
• Never underestimate the power of a single act of kindness; it has the potential to change the world.
• True success is not the absence of failures, but the resilience to overcome them.
• The things that scare us the most often hold the key to our greatest growth.
• The greatest adventure is what lies ahead. Embrace the unknown without fear or hesitation.
• Don't be afraid to embrace uncertainty, for it is the pathway to growth and transformation.
• Success is not just about reaching the destination, but enjoying the lessons learned along the journey.
• Every obstacle is an opportunity in disguise, ready to show you what you're truly capable of.
• Embrace challenges as opportunities for growth, for diamonds are only formed under pressure.
• Adversity is the fuel that powers the flame of resilience.
• Every brick I lay is a step closer to building my empire
• Do not be afraid to evolve and grow beyond your current limitations, for that is where true greatness lies.
• The impossible only exists until someone proves it otherwise.
• Let your actions speak louder than your words, for a legacy is created not through what we say but what we do.
• Only in darkness can we truly appreciate the light.
• See the beauty in the broken, for it holds a story untold.
• Adversity only serves to inaugurate greatness within us.
• Never stop chasing your dreams, for they hold the key to your infinite potential.
• The key to success is consistency in pursuit of excellence.
• When we embrace the uncertainty of life, we open doors to endless possibilities.
• Chase the horizon of possibilities, for the journey is the destination.
• Embrace the journey, for in each step lies the opportunity for growth.
• Only a true optimist can find light in the darkest of tunnels.
• Creativity allows us to see possibilities where others see limitations.
• Success is not just about reaching the top, but also ensuring you bring others up with you.
• Life is a canvas of endless possibilities awaiting our bold strokes.
• Adversity is the key that unlocks our hidden strengths.
• Limitations only exist in the mind of those who are afraid to push beyond them.
• Success is not found in the destination but in the journey of endless possibilities.
• Embrace the unknown, for it is within uncertainty that true growth and potential lie.
• Do not fear failure, for it is simply the stepping stones to success.
• The only limits are the ones we place on ourselves
• The greatest strength lies not in never falling, but in rising every time we fall.
• Embrace uncertainty, for within it lies the potential for growth.
• Life is a journey best explored with an open mind and an open heart.
• Every obstacle is an opportunity in disguise, waiting for a brave heart to embrace it
• Just because you're not where you want to be doesn't mean you've lost your way.
• Life is a grand adventure - embrace the journey with curiosity and courage.
• Obstacles are merely stepping stones in the pursuit of greatness.
• The mind is like a parachute, it must be open in order to function properly.
• Life is a book waiting to be written, filled with chapters of love, adventure, and resilience.
• Creativity is the heartbeat of innovation, pulsating with endless possibilities.
• Greatness is not a destination, but a way of being.
• Do not be afraid to create your own path, for it is in the depths of authenticity that you will find true fulfillment.
• Embrace the chaos, for within the uncertainty lies the beauty of life.
• Believe in the magic of new beginnings and watch as the universe conspires to make it happen.
• The only thing stronger than fear is hope, embrace it and watch miracles unfold.
• The strength of a person lies not in their abilities, but in their willingness to adapt and persevere through every challenge.
• Life is a canvas and only you possess the brush to paint your story.
• In the midst of chaos, find your peace and let it guide you.
• Success is not about what you have achieved, but rather the person you have become in the process.
• Embrace the journey of self-discovery; you'll uncover hidden treasures within.
• Life is a canvas waiting to be painted with boldness and optimism.
• In order to shine bright, you must not fear the darkness
• Every challenge is an opportunity to grow into a stronger version of yourself.
• Do not be afraid to shine, for the world needs your brightness to guide the way.
• Take risks in life, for it is better to fail daring greatly than to live in the shadow of regret
• Believe in the beauty of your dreams; they hold the key to unlocking your untapped potential.
• In the contradictions of life, lies the beauty of existence.
• Do not be afraid to embrace uncertainty, for it is in this space that miracles take shape.
• Don't be afraid to stand out in a sea of conformity; uniqueness is your greatest asset in a world full of replicas.
• Become the light that brightens up even the darkest night.
• Life's challenges are not meant to break you, but to bend you towards your destiny.
• The moments of life that truly matter are the ones where we choose love, forgiveness, and compassion.
• Every obstacle is an opportunity in disguise, waiting for us to unwrap its gifts of growth and resilience.
• The key to success is to take small steps consistently, because even a journey of a thousand miles begins with a single step.
• A single act of kindness can spark a ripple effect of compassion that reverberates throughout the world.
• Embrace uncertainty as the starting point for growth and transformation.
• Adversity is the price we pay for becoming great.
• Hope is the anchor that holds human will afloat in the stormy seas of life.
• Every storm is just a stepping stone towards a brighter horizon.
• Each step you take brings you closer to your destiny, so don't be afraid to move forward.
• The path to greatness is paved with determination, humility, and a willingness to learn from failure.
• Transform challenges into opportunities and watch your dreams flourish.
• A journey of a thousand miles begins with a single step, but it is the persistence and determination that dictates the destination.
• Let your actions always speak louder than your words, for true character shines bright without the need for a spotlight.
• The more you embrace your uniqueness, the brighter you shine in this world.
• Life is a canvas, paint your story with vivid colors and bold strokes.
• Cherish every moment, for they hold the key to happiness.
• Success is not defined by what you accomplish, but rather by the obstacles you overcome along the way.
• Life is the art of balancing inspiration with reality.
• Some of the best journeys in life are taken with an open heart and a map marked by uncertainty
• Success is not measured by the destination, but by the effort put into the journey.
• The greatest victories are achieved when we conquer our own doubts and limitations.
• Kindness is like a magnet, it attracts the hearts of all those who come near.
• Believe in the power of change, for within it lies endless possibilities.
• Don't fear failure, welcome growth.
• Success is not the absence of failures, but the courage to continue amidst them.
• Embrace the unknown, for in it lies uncharted possibilities waiting to unfold.
• Change is the only constant in life, embrace it and watch the miracles unfold.
• Strength is found in vulnerability, for it takes courage to open one's heart.
• The key to happiness is finding beauty in the simplest things.
• Cherish the moments that take your breath away, for they are the ones truly worth living for
• When life gives you lemons, grab some tequila and salt; it's a party waiting to happen.
• Believe in the power of synchronicity and you'll witness miracles every day.
• Every obstacle is an opportunity to prove yourself wrong and exceed your own expectations.
• Success is not just about the destination but the journey as well.
• Happiness is not found in perfect circumstances, but in imperfect moments of gratitude and love.
• The only obstacles in life are the ones we create within our minds.
• The possibilities are endless when we dare to dream beyond our comfort zone.
• Embrace the chaos of uncertainty for it is often where the greatest opportunities lie.
• Embrace the chaos, for within it lies the beauty of opportunity and growth.
• Do not be afraid to stand out from the crowd, for it is the unique who leave a lasting impression on the world.
• Success is not defined by your circumstances, but by your mindset and perseverance
• Embrace the uncertainty of life, for within it lies the most beautiful opportunities for growth.
• Embrace the uncertainty of life, for within its chaos lies endless possibility.
• Embrace the unknown, for within it lies the power of limitless possibilities.
• Courage is not the absence of fear, but the ability to push through it.
• Success is not guaranteed, but the journey towards it is always priceless.
• "Love is the bridge that connects two souls, allowing them to write their own untold story.
• Life is a journey, not a race. Enjoy the ride and make unforgettable memories along the way.
• Embrace the unknown with curiosity, for therein lies the magic of discovery.
• A scattered mind leads to an unfulfilled heart.
• Allow yourself to embrace the unexpected, for in the chaos you may just find beauty.
• Failure is not the opposite of success, it is a stepping stone to achieving it.
• Success is not only achieved through hard work, but also with the ability to adapt to change.
• Believe in the beauty of your own uniqueness, for it is where your true power lies.
• Walk with purpose, grace, and determination as you pave your own path to success.
• Happiness is not a destination, it is a journey paved with gratitude and kindness.
• Life is a rollercoaster, but you always have the choice to scream or enjoy the ride.
• Success is not measured by how fast you reach the top, but by how many times you get back up when you fall.
• Inhale positivity, exhale negativity. Trust the process and watch yourself grow.
• Life is like a camera, always take the best shot even in the darkest times.
• Don't build a wall around your heart, build a window to let the love in.
• Life is not the absence of problems, but the invitation to dance amidst them.
• Life is like lens pasta; sometimes all you need is a little heat to soften up the hard edges.