The Logo
The woven X
I and P stand in straight lines, the constancy of intellectual property, and the X is woven from two blades. The rear blade passes under the front one and disappears only at the moment they cross. The break is not a severance but depth. The blade that went under is not gone; the work continues where it cannot be seen. Just as most of our work is done in layers no one sees.
Logo Grid
Every guide line is actual size.
The circles and lines in the construction diagram are not effects laid over a finished logo. Every one of them matches the actual path coordinates and can be verified.
WORDMARK CONSTRUCTION
Design Principles
Five design principles
1 : φ
Golden ratio — the angle rising from the intersection
The slope of the X blades is 61.8 horizontal to 100 vertical. That is exactly 1:φ, the golden ratio. The value that rises from the intersection extends at the most harmonious angle. The bowl of the P is also cap/φ deep, and its outline is a true circle of radius cap/2φ. A circle with no gap, holding knowledge.
1 : √2
Nesting — IP gains X and becomes IPX
The width from I to P and the width from P to X are 1:√2. The same similarity as A-series paper: IP (intellectual property) gains X (the intersection) and expands into IPX. The circumscribed circles of the two sets cross directly above the P they share.
25 : 5 : 1
Recursion of the module — the template reaches the details
Letter height 100, stroke weight 20, weave gap 4. The same discipline of one fifth repeats at changing scale.And the gap is not a severance but depth. The blade that went under is not gone; the work continues where it cannot be seen.
The IP circle
The ideal shape of a claim
The two letters I and P, which make IP (intellectual property), are enclosed by the smallest circle that fits them exactly. Too wide and it is fragile, too narrow and it protects nothing. We embedded the ideal boundary that a patent claim aims for into the logo as a principle of construction. There are three tangent points, and from them the circle is determined uniquely.
Template and hand
Geometric discipline and a craftsman's eye
Every principle so far is a template, a discipline that yields the same shape no matter who draws it. Letter spacing alone cannot be derived from numbers. It is optical correction. The last one percent that geometry cannot solve is filled in by the eye. That two-layer structure of template and hand is exactly how we work.