Breaking Ground with the Stroke of a Pen and Brush

Squares in Squares

The following pictures show n unit squares packed inside the smallest known square (of side length s). For the n not pictured, the trivial packing (with no tilted squares) is the best known packing.

I noticed every prime adds a new broken symmetry that reoccurs quasiperiodically from then on. This is why I sometimes refer to the primes as “The pattern of patterns.”

Val Borbera Ghost Towns, Italy by LLauraNLS

ROBIE, Jean Baptiste (1821-1910)

Just a typical organic reaction. 

At the beginning it had a normal color (anything between colorless and black), then I added a catalyst and the whole reaction mixture turned black in less than a minute. 

1. Remind yourself that, in time, things will change and we all get bogged down at different periods in life.

2. Try to make sure that you do some exercise – as that brightens our mood and boosts our mental energy.

3. Be aware of the tendency to isolate yourself. Being around other people can give you more support, and can help you to keep going when you feel like giving up.

4. Try changing your routine. Just changing a few things can help you feel more in control, and less at the whim of external circumstances.

5. Set some small goals for yourself and take some steps to make them happen – again, you’ll feel less trapped as you will feel that you have options.

6. Make sure you treat yourself well so you know that you have value … Buy some clothes … or take time out … or do whatever makes you happy.