Scaling and Similarity

Scaling is like using a shrink ray or grow ray on a toy. If you scale a toy car up to be a real car, every part has to grow by the exact same amount or the wheels will not fit! Similar things are the same shape but different sizes. The inner pattern is more important than how big or small something is. Like a family where the baby looks exactly like the grandpa: the design is what connects them.

Form is independent of magnitude. The whole is contained within the part. The design is what connects everything.

Geometric similarity: isometry plus dilation. Two figures are similar if corresponding angles are congruent and sides are in proportion. Foundation of trigonometry and modeling. It resonates with the Holographic Principle: the ratio of any two internal parts is constant regardless of global scale.

SOUND: An echo that sounds exactly like your voice but quieter.

SMELL: A tiny sample of soap that smells exactly like the giant bar.

TASTE: A tiny crumb of a cookie that tells you exactly how the whole batch tastes.

TOUCH: Feeling a model of the Eiffel Tower that has the same bumps as the real one.

SIGHT: Seeing your reflection in a tiny mirror vs. a big mirror.

BODY: Moving your hand in a small circle and then a big circle; your brain knows it is the same shape.

Music: Like A Lullaby by Third Eye Blind

Music: Let There Be Love by Nat King Cole

Part of Ratio & Proportion — MATHEMATICS — Education Revelation